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 the point \((-7, 9)\) and the slope \(m = 4\), we can substitute these values into the point-slope formula:
\[ y - 9 = 4(x - (-7)) \]
This simplifies to:
\[ y - 9 = 4(x + 7) \]
So, the equation of the line in point-slope form is:
\[ y - 9 = 4(x + 7) \]