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

##### 2 Answers
Jul 20, 2015

$\left(0 , 0\right)$ is not a solution for $y > - \frac{2}{5} x + 4$

#### Explanation:

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

$0 > - \frac{2}{5} \cdot 0 + 4$

$0 > 0 + 4$

$0 > 4$, which is false.

$\left(0 , 0\right)$ is not a solution to $y > - \frac{2}{5} x + 4$.

Jul 20, 2015

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]}