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.
In this case, you have the point \( (x_1, y_1) = (-8, 3) \) and the slope \( m = -\frac{1}{2} \).
Substituting these values into the point-slope formula gives:
\[ y - 3 = -\frac{1}{2}(x - (-8)) \] \[ y - 3 = -\frac{1}{2}(x + 8) \]
This is the equation of the line in point-slope form:
\[ y - 3 = -\frac{1}{2}(x + 8) \]