Chapter 4.2, Problem 14PPS

To determine

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

Answer to Problem 14PPS

Equation of the line is $y=6$ and the graph is as shown below.

Explanation of Solution

Given:

Line passes through the point $\left(-7,6\right)$ with slope $m=0$ .

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,

  $\left(x_1,y_1\right)=\left(-7,6\right)\&m=0$

Now the equation of the line is,

  $\begin{array}{l}y-6=0\left(x-\left(-7\right)\right)\\ \Rightarrow y-6=0\\ \Rightarrow y=6\end{array}$

Now the graph is,