Chapter 13.7, Problem 8CE

To determine

To find : an equation of described

Answer to Problem 8CE

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

Explanation of Solution

Given information :

  $y$ -intercept $=0$ ;perpendicular to the line $y=-\frac{7}{4}x+9$

Formula used :

  $y=mx+b$

Calculation :

If the line is perpendicular to the line $y=-\frac{7}{4}x+9$ , its slope must be $-\frac{7}{4}$ .

Here $y$ -intercept $=0$

Therefore

  $\begin{array}{l}b=9\cdot 0\\ b=0\end{array}$

The equation is

  $\begin{array}{l}y=-\frac{7}{4}x+0\\ y=-\frac{4}{5}x\end{array}$

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