# How do you find the x and y intercepts for 12-3y=3x?

Nov 25, 2015

x-intercept: $4$
y-intercept: $4$

#### Explanation:

The x-intercept is the value of $x$ when $y = 0$
(i.e. the value of $x$ where the graph crosses the X-axis, since for all points on the X-axis $y = 0$)

$12 - 3 \left(0\right) = 3 x \Rightarrow x = 4$
(i.e. the x-intercept is $4$)

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

$12 - 3 y = 3 \left(0\right) \Rightarrow y = 4$
(i.e. the y-intercept is $4$)