# What are the intercepts of -x-4y=11?

Mar 25, 2018

The x-intercept is $\left(- 11 , 0\right)$.

The y-intercept is $\left(0 , - \frac{11}{4}\right)$ or $\left(0 , - 2.75\right)$.

#### Explanation:

Given:

$- x - 4 y = 11$

Multiply by $- 1$. This will reverse the signs.

$x + 4 y = - 11$

The x-intercept is the value of $x$ when $y = 0$.

Substitute $0$ for $y$.

$x + 4 \left(0\right) = - 11$

$x = - 11$

The x-intercept is $\left(- 11 , 0\right)$.

The y-intercept is the value of $y$ when $x = 0$.

Substitute $0$ for $x$.

$0 + 4 y = - 11$

$4 y = - 11$

Divide both sides by $4$.

$y = - \frac{11}{4} = - 2.75$

The y-intercept is $\left(0 , - \frac{11}{4}\right)$ or $\left(0 , - 2.75\right)$.

graph{(-x-4y-11)(x+4y+11)=0 [-10, 10, -5, 5]}