Chapter 13.6, Problem 7CE

To determine

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

Answer to Problem 7CE

The $x$ -intercept is $2$ and $y$ -intercept is $-10$

Explanation of Solution

Given information : The equation of line is $y=5x-10$

Calculation :

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

  $\begin{array}{l}y=5x-10\\ 5x-y=10\\ \Rightarrow 5\left(0\right)-b=10\\ \Rightarrow 0-b=10\\ \Rightarrow b=-10\end{array}$

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

  $\begin{array}{l}y=5x-10\\ 5x-y=10\\ \Rightarrow 5\left(a\right)-0=10\\ \Rightarrow 5a-0=10\\ \Rightarrow 5a=10\\ \Rightarrow a=\frac{10}{5}\\ \Rightarrow a=2\end{array}$