Chapter 8, Problem 9CR

To determine

To find: The equation of the line.

Answer to Problem 9CR

The equation of the line is $y=-\frac{4}{3}x+13$ .

Explanation of Solution

Given information:

The given points is $\left(12,-3\right)$ and slope is $-\frac{4}{3}$ .

Calculation:

Substitute the values $-\frac{4}{3}$ for $m$ in $y=mx+b$

  $\begin{array}{c}y=mx+b\\ =-\frac{4}{3}x+b\end{array}$

Substitute the values $12$ for $x$ and $-3$ for $y$ in $y=-\frac{4}{3}x+b$ .

  $\begin{array}{c}y=-\frac{4}{3}x+b\\ -3=-\frac{4}{3}\cdot 12+b\\ b=12\end{array}$

Therefore the equation is $y=-\frac{4}{3}x+13$ .