What equation of the following line? Be sure to scroll down first to see all answer options. (1,7) (0,0)

Answer:
[tex]y=7x[/tex]
Step-by-step explanation:
We have been given a graph. We are asked to find the equation of the line.
First of all, we will find slope of line using points (1,7) and (0,0).
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{7-0}{1-0}[/tex]
[tex]m=\frac{7}{1}[/tex]
[tex]m=7[/tex]
We can see that y-intercept is 0.
We will write he equation in slope-intercept form [tex]y=mx+b[/tex], where b represents y-intercept and m represents slope.
[tex]y=7x+0[/tex]
[tex]y=7x[/tex]
Therefore, our required equation is [tex]y=7x[/tex].