Q. 57 - Precalculus Enhanced with Graphing Utilities

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 $(-3,2)$

Step-by-Step Solution

Answer

The equation of line is $y=2$

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.

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