# How do you solve the system by graphing y=-x-1 and y=2x-1?

Dec 18, 2015

Plot the lines separately on the same graph then read the point of intersection.
$\left(x , y\right) = \left(0 , - 1\right)$

#### Explanation:

The equation $y = - x - 1$
$\textcolor{w h i t e}{\text{XXX}}$has intercepts at $\left(0 , - 1\right)$ and $\left(- 1 , 0\right)$
so its graph would look like the image on the left below.

The equation $y = 2 x - 1$
$\textcolor{w h i t e}{\text{XXX}}$has intercepts at $\left(0 , - 1\right)$ and $\left(\frac{1}{2} , 0\right)$
so its graph would look like the image in the middle below.

Combining the two into a single graph gives the image at the right below.
Notice the point of intersection at $\left(0 , - 1\right)$