# How do you find the x and y intercepts for 4x+y=8?

Nov 14, 2015

Calculate f(0) and y = 0

#### Explanation:

Let's start with interception point with the x axis. Here we know that $y = 0$, so we can put that in our original expression:

$4 x + 0 = 8$
$4 x = 8$
$x = 2$

The function intercepts the x axis at $\left(2 , 0\right)$

Let's continue with the y axis. Here we know that $x = 0$, so let's put that into our expression / function:

$4 \cdot 0 + y = 8$
$y = 8$

This gives us interception point with y axis at: $\left(0 , 8\right)$