Chapter 13.6, Problem 21WE

To determine

To find : the slope and $y$ -intercept of the line.

Answer to Problem 21WE

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

Explanation of Solution

Given information : The equation of line is $5x-2y=10$ .

Calculation :

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

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

A line with the equation $y=mx+c$ has a slope $m$ .

So,

  $\begin{array}{l}y=\frac{5}{2}x-5\\ m=\frac{5}{2}\end{array}$