Question

Right in equation in slope intercept form that passes through (2 -6) and has a Y intercept located at (0,-7)

Answer 1

y=1/2x-7

Explanation:

Trying solving for the slope before doing anything else. The equation to solve for the slope is:

`m=(y_(2)-y_(1) )/(x_2-x_1)`

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.

`m=(-6-(-7))/(2-0)`

`m=(-6+7)/(2-0) \\ m=(1)/(2)`

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.