Question

How do you graph `y>= -2/5x+5`?

Answer 1

The graph will be a straight, solid line with a negative slope to represent the equality, with the area above the line shaded to represent the inequality.

Explanation:

`y>=-2/5x+5`

This is a modification of the slope-intercept form of a linear equation in which the relationship includes an inequality as well as an equality. `y>=mx+b`, where `m` is the slope and `b` is the y-intercept.

Determine two points by assigning values for `x` and solving for `y`.

`x=0,` `y=5`
`x=5,` `y=3`

Plot the points and draw a straight line through the points. Shade in the area above the line.

graph{y>=-2/5x+5 [-10.03, 9.97, -3.66, 6.34]}