Question

What is the slope of the line on the graph? Enter your answer in the box. A coordinate grid that includes the line y equals negative two x. Points are plotted at begin ordered pair 3 comma negative six end ordered pair begin ordered pair 0 comma 0 end ordered pair and begin ordered pair negative 3 comma 6 end ordered pair.

Answer 1

 The slope is -2.
Hope this helps!

Answer 2

we have

the equation of the line is $y=-2x$

the points are

$A(3,-6)\\B(0,0) \\C(-3,6)$

Method 1

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In this problem we have a direct variation

The constant of proportionality k is equal to the slope of the line

$k=-2$

so

$m=-2$

therefore

the answer is

the slope of the line is equal to

$m=-2$

Method 2

we know that

the formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$A(3,-6)\\B(0,0)$

substitute in the formula

$m=\frac{0+6}{0-3}$

$m=\frac{6}{-3}$

$m=-2$

therefore

the answer is

the slope of the line is equal to

$m=-2$