Question

A line with a slope of - 9 passes through the points (v, - 3) and ( - 8,6). What is the value of v?

Answer 1

`\text{The formula of a slope}\\\\m=(y_2-y_1)/(x_2-x_1)\\\\\text{We have the points (v, -3) and (-8, 6) and the slope m = -9. Substitute:}\\\\(6-(-3))/(-8-v)=-9\\\\(9)/(-8-v)=(-9)/(1)\qquad|\text{cross multiply}\\\\-9(-8-v)=9\qquad|:(-9)\\\\-8-v=-1\qquad|+8\\\\-v=7\qquad|\cdot(-1)\\\\\boxed{v=-7}`