We are given that the point $(5, -2)$ lies below the line $y = 5x + 2$. We want to graph the region where $y > 5x + 2$. We need to determine if the region should be shaded above the line or below the line.

1. Problem Description

We are given that the point $(5, -2)$ lies below the line $y = 5x + 2$. We want to graph the region where $y > 5x + 2$. We need to determine if the region should be shaded above the line or below the line.

2. Solution Steps

To determine whether to shade above or below the line, we can test the point $(5, -2)$ in the inequality $y > 5x + 2$.

Substituting $x = 5$ and $y = -2$ into the inequality, we get:

$-2 > 5(5) + 2$

$-2 > 25 + 2$

$-2 > 27$

Since $-2 > 27$ is false, the point $(5, -2)$ does not satisfy the inequality $y > 5x + 2$.

We know that the point $(5, -2)$ lies below the line $y = 5x + 2$. Since the point $(5, -2)$ does not satisfy the inequality $y > 5x + 2$, the region above the line should be shaded.

3. Final Answer

Above the line