# How do you find the intercepts of the line y=5x-15?

May 25, 2017

$x$-intercept: $\left(3 , 0\right)$
$y$-intercept: $\left(0 , - 15\right)$

#### Explanation:

To find the intercepts, set $x$ and $y$ equal to $0$ in turn

$\textcolor{red}{y} = 5 \textcolor{b l u e}{x} - 15$

For the $x$-intercept: set $\textcolor{red}{y = 0}$

$\textcolor{red}{0} = 5 x - 15$

$15 = 5 x$

$3 = x$

$x$-intercept is $\left(3 , 0\right)$

For the $y$-intercept: set $\textcolor{b l u e}{x = 0}$

$y = 5 \left(\textcolor{b l u e}{0}\right) - 15$

$y = - 15$

$y$-intercept is $\left(0 , - 15\right)$