Chapter 13.7, Problem 4CE

To determine

To find : an equation of each line described

Answer to Problem 4CE

The equation of the line is $y=3x-6$

Explanation of Solution

Given information :

The line is

  $x$ -intercept $=2$ ; $y$ -intercept $=-6$

Formula used :

  $y=mx+b$

Calculation :

The equation of the line is

Because $y$ -intercept is $-6$ , so $b=-6$ .

Because the point $\left(2,0\right)$ and $\left(0,-6\right)$ lie on the line,

Slope $=\frac{-6-0}{0-2}=\frac{-6}{-2}=3$ .

Since the slope is $3$ , so $m=3$ .

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

  $\begin{array}{l}y=3x+\left(-6\right)\\ y=3x-6\end{array}$

Hence, the equation of the line is $y=3x-6$ .