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

Mar 3, 2016

The x-intercept is $\left(- \frac{3}{2} , 0\right)$.

The y-intercept is $\left(0 , - 3\right)$.

#### Explanation:

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

X-Intercept

$2 x + y = - 3$

Set $y = 0$ and solve for $x$.

$2 x + 0 = - 3$

Simplify.

$2 x = - 3$

Divide both sides by $2$.

$x = - \frac{3}{2}$

The x-intercept is $\left(- \frac{3}{2} , 0\right)$.

Y-Intercept

$2 x + y = - 3$

Set $x = 0$.

$2 \left(0\right) + y = - 3$

Simplify.

$y = - 3$

The y-intercept is $\left(0 , - 3\right)$.

graph{2x+y=-3 [-9.81, 10.19, -6.76, 3.24]}