# How do you solve the system by graphing y=-2x-1 and y=x+5?

Dec 11, 2017

Our solutions:

x-intercept color(blue)( = (-1/2, 0) and y-intercept $\textcolor{b l u e}{= \left(0 , - 1\right)}$

x-intercept color(blue)( = (-5, 0) and y-intercept $\textcolor{b l u e}{= \left(0 , 5\right)}$

#### Explanation:

Please refer to the graph below:

Our solutions are obvious, when we investigate our graph.

For the linear equation $\textcolor{b l u e}{y = - 2 x - 1} ,$

our required solution is

x-intercept color(blue)( = (-1/2, 0) and y-intercept $\textcolor{b l u e}{= \left(0 , - 1\right)}$

For the linear equation $\textcolor{b l u e}{y = x + 5} ,$

our required solution is

x-intercept color(blue)( = (-5, 0) and y-intercept $\textcolor{b l u e}{= \left(0 , 5\right)}$

I hope you find this graph useful.