# How do you find the x and y intercept given y= -3x+6 ?

Oct 29, 2015

y-intercept $= 6$
x-intercept $= 2$

#### Explanation:

The y-intercept is the value of $y$ when $x = 0$
(or, it is the value of $y$ where the line crosses the Y-axis and for all points on the Y-axis, $x = 0$)
$\textcolor{w h i t e}{\text{XXX}} y = - 3 \left(0\right) + 6 = 6$

Similarly, the x-intercept is the value of $x$ when $y = 0$
$\textcolor{w h i t e}{\text{XXX}} 0 = - 3 x + 6$
$\textcolor{w h i t e}{\text{XXX}} \Rightarrow x = 2$