Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation

y=− 3/7x+3
A(?,6)
B(9,?)
slope=?

Answers

Answer 1

Answer:

A(-7,6)

[tex]\displaystyle B\left(9,-\frac{6}{7}\right)[/tex]

[tex]\displaystyle slope=-\frac{3}{7}[/tex]

Explanation:

Coordinates of Ordered Pairs

We are given the function

[tex]\displaystyle y=-\frac{3}{7}x+3[/tex]

And have two incomplete coordinates A(?,6) B(9,?). We'll find the required values by using the given equation.

We know from the point A that the y-coordinate is 6, thus

[tex]\displaystyle 6=-\frac{3}{7}x+3[/tex]

Solving for x

[tex]\displaystyle x=\frac{6-3}{-\frac{3}{7}}[/tex]

[tex]\displaystyle x=-7[/tex]

The point is A(-7,6)

Now for B(9,?), we'll plug x=9

[tex]\displaystyle y=-\frac{3}{7}\cdot9+3=-\frac{27}{7}+3=\frac{-27+21}{7}[/tex]

[tex]\displaystyle y=-\frac{6}{7}[/tex]

The point is

[tex]\displaystyle B\left(9,-\frac{6}{7}\right)[/tex]

The slope is the coefficient of the x, i.e.

[tex]\displaystyle slope=-\frac{3}{7}[/tex]


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