How do you graph 3x+2y=4 using intercepts?

May 2, 2017

see below

Explanation:

$3 x + 2 y = 4$

make $4 = 1$ by divide with $4$ to both sides.

$\frac{3}{4} x + \frac{1}{2} y = 1$
then form $\frac{x}{a} + \frac{y}{b} = 1$
$\frac{x}{\frac{4}{3}} + \frac{y}{2} = 1$

therefore this equation has x-intercept at $\frac{4}{3}$ while y-intercept at $2$