Chapter 13.7, Problem 7CE

To determine

To find : an equation of described

Answer to Problem 7CE

The equation is $y=-\frac{4}{5}x-6$

Explanation of Solution

Given information :

  $y$ -intercept $=-3$ ;parallel to the line $y=-\frac{4}{5}x+2$

Formula used :

  $y=mx+b$

Calculation :

If the line is parallel to the line $y=-\frac{4}{5}x+2$ , its slope must be $-\frac{4}{5}$ .

Here $y$ -intercept $=-3$

Therefore

  $\begin{array}{l}b=2\cdot -3\\ b=-6\end{array}$

The equation is

  $\begin{array}{l}y=-\frac{4}{5}x+\left(-6\right)\\ y=-\frac{4}{5}x-6\end{array}$

Hence, the equation is $y=-\frac{4}{5}x-6$ .