Chapter 4.2, Problem 18PPS

To determine

To find the equation of the line in point-slope form and to draw the graph of it.

Answer to Problem 18PPS

Equation of the line is $y=0$ and the graph is as shown below.

Explanation of Solution

Given:

Horizontal line passing through the point $\left(-6,0\right)$ .

Concept used:

Equation of a line passing through the point $\left(x_1,y_1\right)$ with slope m is $y-y_1=m\left(x-x_1\right)$ .

Calculation:

Given,

  $\left(x_1,y_1\right)=\left(-6,0\right)$

Now the slope a horizontal line is zero.

Therefore the equation of the line is,

  $\begin{array}{l}y-0=0\left(x-\left(-6\right)\right)\\ \Rightarrow y=0\end{array}$

Now the graph is,