Answer:
y=1/2x-7
Step-by-step explanation:
Trying solving for the slope before doing anything else. The equation to solve for the slope is:
[tex]m=\frac{y_{2}-y_{1} }{x_2-x_1} [/tex]
Plug in your x and y values. For our purposes, 2 is x2, -6 is y2, 0 is x1 and -7 is y1. Put these values in and solve.
[tex]m=\frac{-6-(-7)}{2-0} [/tex]
[tex]m=\frac{-6+7}{2-0} \\ m=\frac{1}{2} [/tex]
The slope should come out to be 1/2, and now that we have our slope, we just plug in the values.
Slope intercept form: y=slope(x)+y intercept
y=1/2x-7
That should be the answer.