(01.05) what is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)? (1 point) y = 6x − 14 y = −6x + 14 y = −6x − 14 y = 6x + 14

Answers

Answer 1
(3,4)(5,16)
slope = (16 - 4) / (5 - 3) = 12/2 = 6

y = mx + b
slope(m) = 6
use either of ur points (3,4)...x = 3 and y = 4
sub and find b, the y int
4 = 6(3) + b
4 = 18 + b
4 - 18 = b
-14 = b

so ur equation is : y = 6x - 14
Answer 2

Answer:

The answer is [tex]y=6x-14[/tex]

Step-by-step explanation:

In order to determine the slope-intercept form equation, we need to know the formula. The formula needs a slope (m) and a point (x,y) that belongs to the equation.

[tex]y-y_1=m(x-x_1)\\m=slope\\(x_1,y_1)=point[/tex]

For m:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So, first we have to define every variable and then we replace them into the formula:

[tex]P_1=(3,4)\\P_2=(5,16)\\m=\frac{16-4}{5-3}\\m=\frac{12}{2}=6[/tex]

It doesn't matter the order of how you define the points. The result will be the same.

Then:

[tex]y-4=6*(x-3)\\y=6*(x-3)+4\\y=6x-18+4\\y=6x-14[/tex]

Finally, the slope-intercept form equation is [tex]y=6x-14[/tex]


Related Questions

What is the range of the following relation?




all real numbers
x ≤ 0
y ≤ 0

Answers

Answer

y ≤ 0

Explanation

Remember that the range is all the possible y-values that the relation can take. We can see in the picture that the repletion is always bellow of the positive y-axis, so the relation can take only negative y-values or zero. In other words, the range of the relation is all the y-values greater or equal than zero, which we represent with the inequality: y ≤ 0. The domain, on the other hand, is all the real numbers; since x can take any value.

Answer:

y ≤ 0 is the correct answer

Step-by-step explanation:

you gots to see it through mah boi

A storeowner places a “No Smoking” sign in front of their store. This would be classified as a type of what factor.

Answers

The "No Smoking" sign would be classified as a health protective factor.

This is because it mainly aims at preventing possible diseases that can occur to those who are smoking as well as those who are inhaling the gases produced in the air from smokers.
This sign encourages active smokers to put off their cigarettes and throw them away and it protects the non-smokers from being subjected to the smoke produced from smokers. By this, it reduces the risk of cancer.

Answer:

external pressure

Explanation:

This is the full question:

A sign in front of a store says "No Smoking.” What kind of factor is this sign?

external pressure

internal pressure

media influence

peer pressure

Express in scientific notation. Make sure your answer has the same number of significant figures as the starting value. 1,645.6 = _____

Answers

1.6456 x 10^3 that is the answer 

observation often starts the scientific process observation is useful because it helps scientist_____
a) form questions
b) develop opinions
c) summarize data
d) write laws

Answers

The answer is a) form questions because the scientist must first have a question or problem to solve for him to conduct the scientific process

How do you solve this equation?

5 (x+2) = 7 (4 - x)

Answers

Distribute on both sides
5x+10=28-7x

Add 7x to both sides
12x+10=28

Subtract 10 from both sides
12x=18

Divide both sides by 12
x=18/12
x=3/2

Final answer: x=3/2

what is the intersection of plane stxw and plane stv

Answers

Line st would be your answer

The length of a rectangle is 3 inches more than the width. the perimeter is 30 inches. find the length and width.

Answers

the length would be 9, and width would be 6.

Solve the inequality.
-x/4 ≤ 2

Answers

Multiply both sides by 4, making it 
-x<8
Switch the signs as you make 8 negative and x positive
x>-8 
(Make sure to make the signs greater and less than or equal to
 the answer is is is x ≥ -8

Answer this question please!

Answers

Plug 7/50 into your calculator to get 0.14. The answer is C.
The answer is C. When you divide the top number by the
Bottom number you get 0.14.

Eliminate the parameter. x = square root of t, y = 3t + 7

Answers

We have to eliminate the parameter ( t ):
x = √ t  
Therefore t = x²
y = 3 t + 7
Answer:
y = 3 x² + 7

Answer:

y = x divided by three + 7

Step-by-step explanation:

The equation of a line is x + 4y = 15.

What is the y-intercept of the line?



415

15

−15

154

Answers

I get 15/4 or 15 over 4

Answer:

Option D.

Step-by-step explanation:

Y-intercept form of the equation of a line is given by y = mx + c

Where m = slope of the line

c = y-intercept

Given equation of a line is x + 4y = 15

We will transform this equation into the y intercept form first.

x + 4y = 15

4y = 15 - x

y = [tex]-\frac{x}{4}+\frac{15}{4}[/tex]

Therefore, y - intercept of this equation will be c = [tex]\frac{15}{4}[/tex]

Option D will be the answer.

During a huge snowstorm in the White Mountains last year, it snowed 61.5cm in one day. How much did it snow in meters? Be sure to include the correct unit in your answer.

Answers

Final answer:

The snowfall during the snowstorm in the White Mountains was 61.5 cm, which is equivalent to 0.615 meters when converted.

Explanation:

To convert the snowfall from centimeters to meters, we need to understand that 1 meter is equivalent to 100 centimeters. With this, to find the snowfall in meters, you simply divide the snowfall in centimeters by 100. So, the snowfall of 61.5 centimeters would be 0.615 meters.

This is because:

1 meter = 100 centimetersTo convert centimeters to meters, divide by 10061.5 cm / 100 = 0.615 meters

Learn more about Conversion

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Use the formula m = to calculate the slope of the line.
The slope of the line is .

Answers

The slope m of the line passing through points A(a, b) and B(c, d) is determined by the formula:

[tex]\displaystyle{m= \frac{d-b}{c-a} [/tex]


that is, the slope is the ratio of the difference of the y-coordinates, to the difference of the x-coordinates:

In our problem we have points A(-6, -8)  and B(2, 8), 

applying the formula for the slope, we have:


[tex]\displaystyle{m= \frac{d-b}{c-a} = \frac{8-(-8)}{2-(-6)}= \frac{16}{8}=2 [/tex]



Answer: 2

The slope of the line passing through the points is 2

How to find the slope of a line

The formula for calculating the slope of a line is expressed as:

m =y2-y1/x2-x1

Given the coordinate points expressed as(2, 8) and (-6, -8). Substitute the given values to have:

m =y2-y1/x2-x1

m =-8 -8/-6-2

M = -16/-8

M = 2

Hence the slope of the line passing through the points is 2

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A sporting goods store pays $150 for a rubber raft. The percent of markup is 55%. Find the raft’s selling price.

Answers

if my math is correct its about 82.5

Complete the data set with one value so that the mean of the data is 13.

10,14,8,16,12,____

Answers

(10 + 14 + 8 + 16 + 12 + x ) /6 = 13
(60 + x) / 6 = 13
60 + x = 13 * 6
60 + x = 78
x = 78 - 60
x = 18 <=====

The value of another number such that mean remains 13 is 18.

What is mean?

The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.

Mean = sum of data / Number of data

For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be

( 40 + 45+ 44 + 46 + 48) /5 = 44.6.

Let's say that number is x

Then,

Mean = (10 + 14 + 8 + 16 + 12 + x)/6

(60 + x)/6 = 13

x = 18

Hence "The value of another number such that mean remains 13 is 18".

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Find the vertical, horizontal, and slant asymptotes, if any, for f(x)= 3x^3-28x^2+54x-24/x^2-8+7

Answers

the denominator factors to (x - 1)(x - 7)  so there will be vertical asymptotes at x = 1 and x = 7
Long division   gives a quotient of 3x - 4   so y = 3x - 4 is a slant asymptote
Vertical asymptote:

First, work out the domain of f(x).
The function is in form of algebraic fraction and it cannot be defined when the denominator is zero. The vertical asymptote is the same value of x that gives denominator = zero

[tex]x^2-8x+7 = 0[/tex] ⇒ Factorize
[tex](x-7)(x-1) = 0[/tex]
[tex]x-7=0[/tex] and [tex]x-1=0[/tex]
[tex]x=7[/tex] and [tex]x=1[/tex]

so, the vertical asymptote is at x = 1 and at x = 7
----------------------------------------------------------------------------------------------------------------

Horizontal asymptote:

The three rules to determine the horizontal asymptote
1) The polynomial degree of numerator SMALLER to the polynomial degree of denominator, the horizontal asymptote is at y = 0 (along the x-axis)
2) The polynomial degree of numerator HIGHER than the polynomial degree of denominator, there is no horizontal asymptote
3) The polynomial degree of numerator EQUAL to the degree of the denominator, divide the coefficient of the highest degree term.

We have numerator = 3x³ - 28x² + 54x - 24 [this is a polynomial of degree 3]
We have denominator = x^2-8x+7 [this is polynomial of degree 2]
The polynomial degree of numerator > polynomial degree of the denominator, so there is no horizontal asymptote.
----------------------------------------------------------------------------------------------------------------

Slant asymptote:

Divide the numerator by the denominator
[3x³-28x²+54x-24] ÷ [x²-8x+7]

Refer to the diagram below
We have the result of 3x - 4 with a remainder

So the slant asymptote is 3x - 4







How many 2/3
cup servings are there in a 12-cup pitcher of orange juice?

Answers

12 / (2/3)
12 * 3/2
36/2
18 cups

Hope this helps!
12 cup2/3

18 times 2/3 the answer should be there

Describe the transformation of ΔABC.
A) rotation of 90° about the origin
B) rotation of 60° about the origin
C) rotation of 180° about the origin
D) rotation of 270° about the origin

Answers

According to my calculations it is C

Answer:

Transformation of ΔABC rotation of 180° about the origin .

Step-by-step explanation:

Given : Coordinates of Δ ABC ,=A ( 3,5) , B( 6,1) , C( 0,1) .

Coordinates of Δ A'B'C' = A' ( -3,-5) , B'(- 6,-1) , C'( 0,-1) .

To find :

      Describe the transformation of ΔABC.

Formula used : 180° rotation (clock wise and counter clock wise)

                                   ( x , y ) -------> ( -x , -y ).

Solution :

                   A ( 3,5)-------> A' ( -3,-5).

                   B( 6,1)---------> B'(- 6,-1).

                  C( 0,1).---------> C'( 0,-1) .

Therefore, the transformation of ΔABC rotation of 180° about the origin .

4x -y =1
I need to get the variable y by its self.

Answers

4x - y = 1

Simply subtract 4x from both sides.

-y = -4x + 1

Then, divide both sides by -1, so that y turns into a positive.

y = 4x - 1

~Hope I helped!~

Describe how to derive the quadratic formula from a quadratic equation in standard form. edginuity

Answers

Hello,

[tex]ax^2+bx+c=a(x^2+ \dfrac{b}{a}x+ \dfrac{c}{a} )\\ =a(x^2+2* \dfrac{b}{2a}x +( \dfrac{b}{a} )^2- (\dfrac{b}{a} )^2+\dfrac{c}{a})\\ =a((x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a^2} )\\ =a(x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a} [/tex]

Answer:

The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.

Step-by-step explanation:

Consider points R, S, and T. Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points.

Answers

Hello,

c- one plane can be drawn so it contains all three points.
(i just took this on a mastery test)

Answer: The answer is (c) One plane can be drawn so that it contains all three points.


Step-by-step explanation:  We are given three points R, S and T in a coordinate plane. Considering all these three points to be distinct and non-collinear, we can draw the following conclusions.

(i) Since each pairs of points. i.e., (R,S), (S,T) and (T,R) give rise to a straight line when joined, so option (a) is incorrect.

(ii) Through any two given points, we can always draw a line. If we consider a third point and since we are dealing with non-collinear points, so one line cannot be drawn through three points.

(iii)We can always draw a line by joining two points and when we join the two ends of the line to a third point which does not lie on the line, it will give rise to a plane. So, option (c) is correct.

(iv) We cannot draw two different planes through three given points. If we do so, the new plane will coincide with the previous one. This proves that option (d) is not correct.

Please see the attached figure, where P, Q and R are three non-collinear points. They give rise to a plane.

Thus, the correct option is (c).

After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets and had a total of $700 profit. Which equation models the total profit, y, based on the number of tickets sold, x?
a. y – 300 = 4(x – 100)
b. y + 300 = 4(x + 100)
c. y + 300 = 2.5(x + 100)
d.y – 300 = 2.5(x – 100)

HELPPPPPPPPPPP

Answers

the answer to this problem is a. y-300=4(x-100)

Answer:


Option a :  [tex]y-300 = 4(x - 100)[/tex]


Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find :  Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .


⇒ ([tex]x_{1} ,y_{1}[/tex])=(100,300)


For 200 tickets he had $700 in profit .


⇒ ([tex]x_{2} ,y_{2}[/tex])=(200,700)


We will use point slope form i.e.


[tex]y-y_{1} = m(x - x_{1})[/tex] --(A)


Now, to calculate m we will use slope formula :


[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  }[/tex]


[tex]m = \frac{700 -300}{200-100}[/tex]


[tex]m =4[/tex]


Now, putting values in (A)


[tex]y-300 = 4(x - 100)[/tex]


Thus Option a is correct i.e. [tex]y-300 = 4(x - 100)[/tex]




Which is the best estimate of each percent 48% of 199

Answers

95.52 is the correct answer 

Match the following items.

1.) 2x + x + 4 = -17

2.) 3x + 4 = -17

3.) 3x = -21

4.) x = -7

Given

subtraction

combine like terms

division

Answers

1.) 2x + x + 4 = -17  ....given

2.) 3x + 4 = -17............combine like terms

3.) 3x = -21..................subtraction

4.) x = -7.....................division

The correct explanation for each expression are;

1. 2x + x + 4 = -17                 Given

2. 3x + 4 = - 17                    Combine like term.

3. 3x = - 21                           Subtraction.

4. x = -7                                Division.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 2x + x + 4 = -17

Now, Solve the expression for x by using suitable property as;

⇒ 2x + x + 4 = -17

Combine like term;

⇒ 3x + 4 = - 17

Subtract 4 both side;

⇒ 3x + 4 - 4 = -17 - 4

⇒ 3x = - 21

Divide by 3;

⇒ x = - 7

Thus, The correct explanation for each expression are;

1. 2x + x + 4 = -17                 Given

2. 3x + 4 = - 17                    Combine like term.

3. 3x = - 21                           Subtraction.

4. x = -7                                Division.

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Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupon gives him x percent off on a shirt. The second coupon gives him y percent off on the dress pants. The third coupon gives him z percent off on his total purchase. He cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Skylar's purchase after the coupons are applied. The variables represent percentages as decimals. (1−x)30+(1−y)40+20 (1−z)(40+30+20) Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?

Answers

the dress pants cost 40 bucks....the coupon for the dress pants is y percent off the dress pants...

so the part of the expression that represents the percent that skylar will pay for the dress pants is : (1-y)40

Answer: Hello there!

As we know, the dress pants cost a total of $40, and we also know that Skylar has a coupon of y percent in the dress pants and a coupon of z percent in the total purchase.

In this problem, the question is:

Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?

Ok, if we have a discount of y percent, (where y is represented as decimals) means that you are paying the total price of something ( the 100%) minus the the decimal y multiplied by the price of the object.

this is: $40 - y*$40 = (1 - y)*$40

then if the dress pants cost $40, and Skylar only uses the dress pants coupon, he will pay (1 - y)*$40 for the dress pants.

i need to know 725 miles in 8 hours miles per hour

Answers

divide total miles by time

725/8 = 90.625 miles per hour

What is R such that PR : RQ = 2/5
Express as a coordinate

Answers

From the figure (shown below), the coordinates of P and Q are
P (-2, -2)
Q (4, 8)

Let the point R (x, y) divide the line segment PQ in a 2:5 ratio.
ΔPAR ≈ ΔPBQ because of AAA.
Therefore
[tex] \frac{PA}{PB} = \frac{2a}{2a+5a} \\\\ \frac{x+2}{6}= \frac{2}{7} \\\\7x+14=12 \\\\ 7x=-2 \\\\ x=- \frac{2}{7} [/tex]

Also,
[tex] \frac{AR}{BQ}= \frac{2}{7} \\\\ \frac{y+2}{10} = \frac{2}{7} \\\\ 7y+14=20 \\\\ 7y = 6 \\\\ y = \frac{6}{7} [/tex]

Answer: 
R has the coordinates (-2/7, 6/7) or (-0.2857, 0.8571)

Find all the real zeros of x3-2x2-5x+6=0.

Answers

(×-1)(×-3)(×+2)
×=1
×=3
×=-2

×1=-2
×2=1
×3=3

ok guys so i had trouble on this algrebra question for a while if you can help me out thxs so much: Jenny had 2 apples if she added two more how many would she have altogether. Im stuck plz help

Answers

Hello there!

She had 2 Apples
If she added 2 more
What does 2 + 2 equal? It equals to 4

Same thing here,

2 apples that she had + 2 apples that she added = 4 apples

Thus,
She will have 4 apples.


I hope I helped~

Mrs.Carson pays Kristen $48 for babysitting 6 hours,and Mr.Vaquez pays her $67.50 for babysitting 9 hours,Who pays Kristin the better salary? Explain your answer

Answers

Mr Carson pays the better salary because 48/6 =$8 hrly

while $67.50 /9 hrs is only $7.50 hrly
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