Chapter 13.6, Problem 8WE

To determine

To find : the $x$ and $y$ -intercept of the line and also graph the equation.

Answer to Problem 8WE

The $x$ -intercept is $5$ and $y$ -intercept is $-4$ .

Explanation of Solution

Given information : The equation of line is $4x-5y=20$ .

Calculation :

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

  $\begin{array}{l}4x-5y=20\\ \Rightarrow 4\left(0\right)-5\left(b\right)=20\\ \Rightarrow 0-5b=20\\ \Rightarrow -5b=20\\ \Rightarrow b=-\frac{20}{5}\\ \Rightarrow b=-4\end{array}$

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

  $\begin{array}{l}4x-5y=20\\ \Rightarrow 4\left(a\right)-5\left(0\right)=20\\ \Rightarrow 4a-0=20\\ \Rightarrow 4a=20\\ \Rightarrow a=\frac{20}{4}\\ \Rightarrow a=5\end{array}$

The graph will be shown below: