# What are the intercepts of 9y+2x=3?

Apr 14, 2018

color(red)("x-intercept " = a = 3/2, " y-intercept " = b = 1/3

#### Explanation:

$9 y + 2 x = 3$

$\left(\frac{2}{3}\right) x + \left(\frac{9}{3}\right) y = 1$

$\frac{x}{\frac{3}{2}} + \frac{y}{\frac{1}{3}} = 1$

It's in the standard intercept form of $\frac{x}{a} + \frac{y}{b} = 1$

:. color(red)("x-intercept " = a = 3/2, " y-intercept " = b = 1/3