# How do you find the x and y intercepts for 4y - x= 3?

##### 1 Answer
Dec 30, 2015

$x$ intercept is $- 3$ and $y$ intercept is $\frac{3}{4}$

#### Explanation:

For $y = 0$,
$\textcolor{w h i t e}{\times} 4 \times \textcolor{red}{0} - x = 3$
$\implies \textcolor{red}{- 1 \times} - x = \textcolor{red}{- 1 \times} 3$
$\implies x = - 3$

For $x = 0$,
$\textcolor{w h i t e}{\times} 4 y = 3$
$\implies \textcolor{red}{\frac{1}{4} \times} 4 y = \textcolor{red}{\frac{1}{4} \times} 3$
$\implies y = \frac{3}{4}$

Thus $x$ intercept is $- 3$ and $y$ intercept is $\frac{3}{4}$

graph{(1/4)x+3/4 [-10, 10, -5, 5]}