# How do you find the x and y intercepts of y-5.5x=6?

May 8, 2018

The y-intercept is $\left(0 , 6\right)$.

The x-intercept is $\left(- \frac{6}{5.5} , 0\right)$ or $\left(- 1.09 , 0\right)$.

#### Explanation:

Given:

$y - 5.5 x = 6$

Y-intercept: value of $y$ when $x = 0$

Substitute $0$ for $x$ and solve for $y$.

$y - 5.5 \left(0\right) = 6$

$y = 6$

The y-intercept is $\left(0 , 6\right)$.

X-intercept: value of $x$ when $y = 0$.

Substitute $0$ for $y$ and solve for $x$.

$0 - 5.5 x = 6$

$- 5.5 x = 6$

Divide both sides by $- 5.5$.

$x = - \frac{6}{5.5}$ or $1.09$

The x-intercept is $\left(- \frac{6}{5.5} , 0\right)$ or $\left(- 1.09 , 0\right)$.

graph{y-5.5x=6 [-9.58, 10.42, -1.24, 8.76]}