Chapter 13.7, Problem 9WE

To determine

To find : an equation of line described

Answer to Problem 9WE

The equation of the line is $y=\frac{1}{2}x+4$

Explanation of Solution

Given information :

The line is

  $x$ -intercept $=-8$ ; $y$ -intercept $=4$

Formula used :

  $y=mx+b$

Calculation :

The equation of the line is

Because $y$ -intercept is $4$ , so $b=4$ .

Because the point $\left(-8,0\right)$ and $\left(0,4\right)$ lie on the line,

Slope $=\frac{4-0}{0-\left(-8\right)}=\frac{4}{8}=\frac{1}{2}$ .

Since the slope is $\frac{1}{2}$ , so $m=\frac{1}{2}$ .

Now substitute into the equation $y=mx+b$ to get

  $y=\frac{1}{2}x+4$

Hence, the equation of the line is $y=\frac{1}{2}x+4$ .