Chapter 13.6, Problem 24WE

To determine

To find : the slope and $y$ -intercept of the line.

Answer to Problem 24WE

The slope is $-\frac{4}{3}$ and $y$ -intercept is $\frac{8}{3}$ .

Explanation of Solution

Given information : The equation of line is $4x+3y=8$ .

Calculation :

When $x=0\&y=b$ . So, $b$ is the $y$ -intercept .

  $\begin{array}{l}4x+3y=8\\ \Rightarrow 4\left(0\right)+3\left(b\right)=8\\ \Rightarrow 0+3b=8\\ \Rightarrow 3b=8\\ \Rightarrow b=\frac{8}{3}\end{array}$

A line with the equation $y=mx+c$ has a slope $m$ .

So,

  $\begin{array}{l}y=-\frac{4}{3}x+\frac{8}{3}\\ m=-\frac{4}{3}\end{array}$