# How do you find the intercepts for 5x+y=20?

Apr 1, 2018

$x -$intercept: $\left(4 , 0\right)$ $y -$intercept: $\left(0 , 20\right)$

#### Explanation:

To determine the $x -$intercept, set $y = 0$ in the equation and solve:

$5 x + 0 = 20$

$x = \frac{20}{5} = 4$

The $x -$intercept is $\left(4 , 0\right)$.

To determine the $y -$intercept, set $x = 0$ in the equation and solve:

$5 \left(0\right) + y = 20$

$y = 20$

The $y -$intercept is $\left(0 , 20\right) .$