The equation represented by the graph is y = -2x
The line of the graph passes through the following points
(0,0) and (-2,4)
The equation of the line is calculated by:
[tex]y = \frac{y_2 -y_1}{x_2 -x_1} \times (x -x_1) + y_1[/tex]
So, the equation becomes
[tex]y = \frac{4-0}{-2 -0} * (x -0) + 0[/tex]
[tex]y = \frac{4}{-2} * x[/tex]
Simplify
[tex]y = -2* x[/tex]
[tex]y = -2x[/tex]
Hence, the equation represented by the graph is y = -2x
Read more about linear equations at:
https://brainly.com/question/14323743
