Question

How do you graph `x-y<=4`?

Answer 1

Refer to the explanation for the process to follow.

Explanation:

Solve and Graph:

`x-y<=4`

Turn the inequality into slope intercept form: `y=mx+b`, where `m` is the slope and `b` is the y-intercept (the value of `y` when `x=0`.

Subtract `x` from both sides.

`-y<=-x+4`

Multiply both sides by `-1`. This will change the direction of the inequality and make `x` and `y` positive.

`color(blue)(y>=x-4`

In order to graph this inequality, you will need to determine some points on the line.

Points
`x=-4,` `y=-8`
`x=0,` `y=-4`
`x=4,` `y=0`

Plot the points and draw a solid straight line through them. Then shade in the area above the line to represent the inequality. straight line through them. Then shade in the area above the line to represent the inequality. graph{y>=x-4 [-15.95, 16.07, -10, 6.02]}