Question

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

Answer 1

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:

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.