# How do you find the x and y intercepts for 4x + 5y = 20?

Apr 4, 2018

intercepts

$\left(0 , 4\right) \text{ } \left(5 , 0\right)$

#### Explanation:

$x -$intercept is when $y = 0$

$4 x + 5 y = 20$

$\implies 4 x + 5 \times 0 = 20$

$\implies x = 5$

$y -$intercept when $x = 0$

$\therefore 4 \times 0 + 5 y = 20$

$\therefore y = 4$

intercepts

$\left(0 , 4\right) \text{ } \left(5 , 0\right)$

as can be sen by the graph below

graph{4x+5y=20 [-12.65, 12.68, -6.33, 6.32]}