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.

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

Short answer

The equation of line is$y=2$

Step-by-step solution

Step 1. Given Information 

The given point is$(-3,2)$and line is horizontal

Step 2. Explanation   

Since all the values of y are equal on a horizontal line, the slope of horizontal line is 0.

Substitute the values in the point-slope equation to find the equation the equation in slope intercept form.

$$\begin{gathered} y-y_1=m(x-x_1) \\ y-2=0(x-(-3\left)\right) \\ y-2=0 \\ y=2 \end{gathered}$$