# How do you find the x and y intercepts for 2x + 4y = -8?

May 24, 2018

See explanation.

#### Explanation:

To find $x$ interxept of a function you have to substitute $0$ for $y$ and solve the equation for $x$:

## $x = - 4$

The $x$ intercept is the point $\left(- 4 , 0\right)$.

To find $y$ intercept you have to substitute $0$ for $x$ and solve the equation for $y$:

## $y = - 2$

The $y$ intercept is the point $\left(0 , - 2\right)$.

May 24, 2018

x-intercept = $\left(- 4 , 0\right)$
y-intercept = (0,-2)

#### Explanation:

x-intercept is when $y = 0$
y-intercept is when $x = 0$

Step 1:
Lets find the x-intercept by putting $y = 0$

$2 x + 4 y = - 8$

$2 x + \left(4 \times 0\right) = - 8$

$2 x + 0 = - 8$

$2 x = - 8$

$x = - \frac{8}{2}$

$x = - 4$ ------> x-intercept is $\left(- 4 , 0\right)$

Step 2:
Lets find the y-intercept by putting $x = 0$

$2 x + 4 y = - 8$

#(2 xx 0) +4y = -8

$0 + 4 y = - 8$

$4 y = - 8$

$y = - \frac{8}{4}$

$y = - 2$ -----> y-intercept is $\left(0 , - 2\right)$

if we plot the graph, we get the same.