# How do you graph 5x+10y=30 using intercepts?

Apr 27, 2017

see explanation.

#### Explanation:

$\text{to find the x/y intercepts}$

• " let x = 0, in the equation, for y-intercept"

• " let y = 0, in equation, for x-intercept"

$x = 0 \to 0 + 10 y = 30 \to y = 3 \leftarrow \textcolor{red}{\text{ y-intercept}}$

$y = 0 \to 5 x + 0 = 30 \to x = 6 \leftarrow \textcolor{red}{\text{ x-intercept}}$

$\text{plot the points " (0,3)" and } \left(6 , 0\right)$ draw a straight line through them and you have the graph.
graph{-1/2x+3 [-10, 10, -5, 5]}