To write the equation of a line in point-slope form, you can use the formula:
\[ y - y_1 = m(x - x_1) \]
where \((x_1, y_1)\) is a point on the line and \(m\) is the slope.
Given:
- Point \((x_1, y_1) = (5, -8)\)
- Slope \(m = 2\)
Plugging these values into the point-slope formula gives:
\[ y - (-8) = 2(x - 5) \]
This simplifies to:
\[ y + 8 = 2(x - 5) \]
So, the equation of the line in point-slope form is:
\[ y + 8 = 2(x - 5) \]