Question

How do you graph the inequality `y> -5x`?

Answer 1

Refer to the explanation.

Explanation:

Graph:

`y> -5x`

You need two points to graph a line. Find the y-intercept.

Y-intercept: value of `y` when `x=0`

Substitute `0` for `x` and solve for `y`.

`y> -5(0)`

`y> -5x`

The y-intercept is `(0,0)`. Plot this point.

Use the slope of `-5/1` to get the next point. Starting at the y-intercept, move down five spaces and one space to the right. This will be the point `(1,-5)`. Plot this point.

Now draw a dashed line through the two points. This indicates that the line is not part of the inequality. Shade the area above the line to indicate that the inequality is greater than the line.

graph{y> -5x [-10, 10, -5, 5]}