Question

Write the point–slope form of the line with slope 5 containing the point (3, -2).

Short answer

Point - slope form of the line is

$y+2=5(x-3)$

Step-by-step solution

Given Information 

Given that slope is 5 and the point on the line is (3, -2).

Point - slope 

An equation of a nonvertical line with slope m that contains the point (x1, y1) is

$$\begin{gathered} y-y_1=m(x-x_1) \\ m=5andPoint(3,-2) \\ y-(-2)=5(x-3) \\ Pointslopeformofthelineis \\ y+2=5(x-3) \end{gathered}$$