# How do you find the x and y intercepts for x + 2y=3?

Dec 19, 2015

$x$ intercept is $3$ and $y$ intercept is $\frac{3}{2}$

#### Explanation:

$x + 2 y = 3$

For $y = 0$,
$\textcolor{w h i t e}{\times} x = 3$

For $x = 0$,
$\textcolor{w h i t e}{\times} 2 y = 3$
$\implies \textcolor{red}{\frac{1}{2} \times} 2 y = \textcolor{red}{\frac{1}{2} \times} 3$
$\implies y = \frac{3}{2}$

Therefore, $x$ intercept is $3$ and $y$ intercept is $\frac{3}{2}$:
graph{(3-x)/2 [-10, 10, -5, 5]}