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

1 Answer
Dec 11, 2017

Answer:

Our solutions:

x-intercept #color(blue)( = (-1/2, 0) and# y-intercept #color(blue)( = (0, -1))#

x-intercept #color(blue)( = (-5, 0) and# y-intercept #color(blue)( = (0, 5))#

Explanation:

Please refer to the graph below:

enter image source here

Our solutions are obvious, when we investigate our graph.

For the linear equation #color(blue)(y = -2x - 1),#

our required solution is

x-intercept #color(blue)( = (-1/2, 0) and# y-intercept #color(blue)( = (0, -1))#

For the linear equation #color(blue)(y = x + 5),#

our required solution is

x-intercept #color(blue)( = (-5, 0) and# y-intercept #color(blue)( = (0, 5))#

I hope you find this graph useful.