Chapter 13.6, Problem 8CE

To determine

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

Answer to Problem 8CE

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

Explanation of Solution

Given information : The equation of line is $y=2x+5$

Calculation :

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

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

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

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