Question

How do you determine whether (0,0) is a solution to `y > -2/5x + 4`?

Answer 1

`(0,0)` is not a solution for `y> -2/5x+4`

Explanation:

Substitute `0` for `x` and `y` in the inequality.

`0> -2/5*0+4`

`0>0+4`

`0>4`, which is false.

`(0,0)` is not a solution to `y> -2/5x+4`.

Answer 2

Solving linear inequality in 2 variables: y > -2x/5 + 4 (1)

Explanation:

First graph the line y = - 2x/5 + 4.
Select the origin O as test point. Replace x = 0 and y = 0 into the inequality (1). We get 0 > 4. It is not true, then the origin O is not located inside the solution set. The solution set of the inequality (1) is the area above the line. Color or shade it.
graph{-2x + 4 [-10, 10, -5, 5]}