Chapter 8.8, Problem 23PPS

To determine

To calculate: To write the equation in slope-intercept form for the line

Answer to Problem 23PPS

Equation of line is $y=\frac{1}{2}x+2$

Explanation of Solution

Given information: Graph of the line

  

Formula Used:

Slope intercept form of line is $y=mx+c$ , where

  $m=$ Slope of graph of equation

  $c=$ Y-intercept of graph of equation

Calculation:

Graph of line is as follows:

  

From above graph,

Y-intercept, $c=2$

Slope is calculated as follows:

  $\begin{array}{l}m=\frac{2-0}{0-\left(-4\right)}\\ m=\frac{2}{4}\\ m=\frac{1}{2}\end{array}$

Using slope intercept form of line $y=mx+c$ , equation is

  $y=\left(\frac{1}{2}\right)x+2$

On simplifying the above equation,

  $y=\frac{1}{2}x+2$

Hence, the equation of line is $y=\frac{1}{2}x+2$