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

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Answer 1 · 2017-12-11T07:32:48

Our solutions:

x-intercept $= (- \frac{1}{2}, 0) and$ $color(blue)( = (-1/2, 0) and$ y-intercept $= (0, - 1)$ $color(blue)( = (0, -1))$

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

Please refer to the graph below:

enter image source here

Our solutions are obvious, when we investigate our graph.

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

our required solution is

x-intercept $= (- \frac{1}{2}, 0) and$ $color(blue)( = (-1/2, 0) and$ y-intercept $= (0, - 1)$ $color(blue)( = (0, -1))$

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

our required solution is

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

I hope you find this graph useful.

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