Q. 4 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

Point - slope form of the line is 

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

Step 1 : Given Information

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

Step 2: Point - slope

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

$$\begin{gathered} y-y_1=m(x-x_1) \\ m=5 and Point (3,-2) \\ y- (-2)=5(x-3) \\ Point slope form of the line is \\ y+2=5(x-3) \end{gathered}$$