# How do you find the intercepts of y=-3-3x?

Jun 25, 2016

$x = - 1 \mathmr{and} y = - 3$

#### Explanation:

The intercepts are the points on the axes.

All points on the x-axis have a y-value = 0.
All points on the y-axis have an x-value = 0.

To find the y-intercept, make x = 0 and solve for y.

$y = - 3 - 3 x$ becomes $y = - 3 - 3 \left(0\right)$

$y = - 3$

To find the x-intercept, make y = 0 and solve for x.

$y = - 3 - 3 x$ becomes $0 = - 3 - 3 x$
$3 x = - 3$

$x = - 1$