To write the equation of a line in point-slope form, we 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 of the line.
Given the point \((3, 10)\) and the slope \(m = -8\), we can substitute these values into the formula:
\[ y - 10 = -8(x - 3) \]
This is the equation of the line in point-slope form.