To write the equation of a line in point-slope form, you can use the formula:
\[ y - y_1 = m(x - x_1) \]
where \(m\) is the slope, and \((x_1, y_1)\) is a point on the line.
Given:
- Slope \(m = 7\)
- Point \((x_1, y_1) = (-10, -2)\)
Substituting these values into the point-slope form:
\[ y - (-2) = 7(x - (-10)) \]
This simplifies to:
\[ y + 2 = 7(x + 10) \]
So, the equation of the line in point-slope form is:
\[ y + 2 = 7(x + 10) \]