# How do you find the x and y intercepts for #y = -2x + 4?

Dec 29, 2015

I found:
y-intercept: $\left(0 , 4\right)$
x-intercept: $\left(2 , 0\right)$

#### Explanation:

For the $x$ intercept set $y = 0$ so you get:
$0 = - 2 x + 4$
$x = \frac{4}{2} = 2$
For the $y$ intercept set $x = 0$ so you get:
$y = \left(- 2 \cdot 0\right) + 4 = 4$

Graphically:
graph{-2x+4 [-12.66, 12.66, -6.33, 6.33]}