Question

Write the equation of the line in slope-intercept form with the given information. 18. Passes through (2, -2) and (-3, -17)

Answer 1

$\begin{gathered} equation \\ y=mx+b \\ m=slope \\ P1\text{ (2,-2)} \\ P2\text{ (-3,-17)} \\ m=\frac{y2-y1}{x2-x1}=\frac{-17-(-2)}{-3-2}=\frac{-17+2}{-5}=\frac{-15}{-5}=3 \\ y=3x+b \\ U\sin g\text{ P1 (2,-2)} \\ -2=3(2)+b \\ -2=6+b \\ -2-6=b \\ b=-8 \\ \text{The equation is y=3x-8} \end{gathered}$