The problem states that the equation of a line is given by $y - 5 = m(x + 8)$, where $m$ is the slope of the line. We need to find a point that must lie on this line.

1. Problem Description

The problem states that the equation of a line is given by $y - 5 = m(x + 8)$, where $m$ is the slope of the line. We need to find a point that must lie on this line.

2. Solution Steps

The given equation is in point-slope form:

$y - y_1 = m(x - x_1)$, where $(x_1, y_1)$ is a point on the line and $m$ is the slope.

Comparing the given equation $y - 5 = m(x + 8)$ with the point-slope form $y - y_1 = m(x - x_1)$, we can identify the point $(x_1, y_1)$.

We have $y - 5 = m(x - (-8))$.

Therefore, $x_1 = -8$ and $y_1 = 5$.

Thus, the point $(-8, 5)$ must lie on the line.

3. Final Answer

(-8, 5)