Question

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.

Slope 3, containing the point$(-2,3)$

Short answer

The slope intercept form of a line is$y=3x+9$

Step-by-step solution

Step 1. Given Information 

The given slope of line is 3 and containing the point$(-2,3)$

Step 2. Calculation

Substitute the given values in the general form of slope intercept equation of line to find the value of y- intercept.

$$\begin{gathered} y=mx+b \\ 3=3(-2)+b \\ 3=-6+b \\ b=9 \end{gathered}$$

Thus, the required equation of line is

$$\begin{gathered} y=mx+b \\ y=3x+9 \end{gathered}$$