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

Jun 19, 2015

Substitute $x = 0$ into the equation and solve to find the intercept $\left(0 , 2\right)$ with the $y$ axis.

Substitute $y = 0$ into the equation and solve to find the intercept $\left(1 , 0\right)$ with the $x$ axis.

#### Explanation:

The intercept with the $y$ axis will be where $x = 0$, so substitute $x = 0$ into the equation to get $y = 2$. So the intercept with the $y$ axis is at $\left(0 , 2\right)$.

The intercept with the $x$ axis will be where $y = 0$, so substitute $y = 0$ into the equation to get $2 x = 2$, hence $x = 1$. So the intercept with the $x$ axis is at $\left(1 , 0\right)$.

graph{2x+y = 2 [-4.71, 5.29, -1.34, 3.66]}