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, the point is \((-1, 3)\) (where \(x_1 = -1\) and \(y_1 = 3\)), and the slope \(m\) is \(-\frac{1}{2}\).
Substituting these values into the point-slope formula:
\[ y - 3 = -\frac{1}{2}(x - (-1)) \]
This simplifies to:
\[ y - 3 = -\frac{1}{2}(x + 1) \]
So the equation of the line in point-slope form is:
\[ y - 3 = -\frac{1}{2}(x + 1) \]