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

Sep 26, 2016

x-int = 8
y-int = 2

#### Explanation:

An intercept is a point in the axis of interest at which the line passes through. Since the value of the other variable at the axis is 0, simply substitute 0 to the other variable to get the desired intercept

To get the x-intercept, substitute 0 to y,

$x + 4 y = 8$

$\implies x + 4 \left(0\right) = 8$

$\implies x = 8$

Similarly, substitute 0 to x to get the y intercept

$x + 4 y = 8$

$\implies 0 + 4 y = 8$

$\implies y = 2$