# How do you find the x and y intercept of 3x - y = - 30?

Sep 1, 2016

$x$-intercept: $\textcolor{red}{- 10}$
$y$-intercept: $\textcolor{b l u e}{30}$

#### Explanation:

The $x$-intercept is the value of $x$ when $y = 0$ (i.e. a point on the X-axis)

$3 x - y = - 30$
with $y = 0$
$\rightarrow 3 x = - 30$
$\rightarrow x = - 10$

Similarly the $y$-intercept is the value of $y$ when $x = 0$

$3 x - y = - 30$
with $x = 0$
$\rightarrow - y = - 30$
$\rightarrow y = 30$