Chapter 13.6, Problem 4CE

To determine

To find : the $x$ and $y$ -intercept of the line

Answer to Problem 4CE

The $x$ -intercept is $5$ and $y$ -intercept is $3$

Explanation of Solution

Given information : The equation of line is $3x-5y=15$

Calculation :

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

  $\begin{array}{l}3x-5y=15\\ \Rightarrow 3\left(0\right)-5\left(b\right)=15\\ \Rightarrow 0-5b=15\\ \Rightarrow -5b=15\\ \Rightarrow b=\frac{15}{-5}\\ \Rightarrow b=3\end{array}$

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

  $\begin{array}{l}3x-5y=15\\ \Rightarrow 3\left(a\right)-5\left(0\right)=15\\ \Rightarrow 3a-0=15\\ \Rightarrow 3a=15\\ \Rightarrow a=\frac{15}{3}\\ \Rightarrow a=5\end{array}$