Chapter 13.6, Problem 11WE

To determine

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

Answer to Problem 11WE

The $x$ -intercept is $4$ and $y$ -intercept is $\frac{5}{2}$ .

Explanation of Solution

Given information : The equation of line is $5x+8y=20$ .

Calculation :

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

  $\begin{array}{l}5x+8y=20\\ \Rightarrow 5\left(0\right)+8\left(b\right)=20\\ \Rightarrow 0+8b=20\\ \Rightarrow 8b=20\\ \Rightarrow b=\frac{20}{8}\\ \Rightarrow b=\frac{5}{2}\end{array}$

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

  $\begin{array}{l}5x+8y=20\\ \Rightarrow 5\left(a\right)+8\left(0\right)=20\\ \Rightarrow 5a+0=20\\ \Rightarrow 5a=20\\ \Rightarrow a=\frac{20}{5}\\ \Rightarrow a=4\end{array}$

The graph will be shown below: