# How do you find the x and y intercepts for 5x + 10y = 30?

Apr 15, 2018

color(brown)("x-intercept "= 6, " y-intercept " = 3

#### Explanation:

To find x & y intercepts of equation $5 x + 10 y = 30$

Making y = 0,

$5 x + 0 = 30 , \text{ or } x = \frac{30}{5} = 6$

Similarly, making x = 0,

$10 y = 30 \text{ or } y = 3$

This can be seen from the graph below :

graph{-(1/2)x + 3 [-10, 10, -5, 5]}