Answer:
y=-3/2x+6
Explanation:
You will need to find the equation of the line in slope-intercept form y=mx+b.
First, find the slope m using slope formula m = (y_2-y_1)/(x_2-x_1) which is m=(6-(-6))/(0-8)=-12/8=-3/2
Now that you found the slope, your equation intercept form looks like y=-3/2 x+b.
Both points (8, -6) and (0.6) belong to this line, therefore both points coordinates satisfy line above which means: 6=-3/2(0)+b (i used second point here)
Solving for b we will get y intercept which is b=6
Finally, the line that passes through points (8,-6) and (0,6) has equation: y=-3/2 x + 6
hopefully this helps! :)