Chapter 8.8, Problem 7CYU

To determine

To calculate: To write an equation of line in slope-intercept form

Answer to Problem 7CYU

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

Explanation of Solution

Given information: Graph of equation is

  

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 equation of line is given as follows:

  

From graph,

Y-intercept is at $\left(0,0\right)$

Thus,

  $c=0$

Also, slope of line is calculated as follows:

  $\begin{array}{l}m=\frac{-1-0}{-2-0}\\ m=\frac{-1}{-2}\\ m=\frac{1}{2}\end{array}$

Equation of line using slope intercept form is

  $y=mx+c$

Substituting the values,

  $\begin{array}{l}y=\frac{1}{2}x+0\\ y=\frac{1}{2}x\end{array}$