1. Start with the point-slope form: y - y_1 = m(x - x_1)
y - (-2) = -\frac{1}{2}(x - 2)
3. Simplify the equation:
y + 2 = -\frac{1}{2}x + 1
4. Solve for \( y \):
y = -\frac{1}{2}x + 1 - 2
5. Combine like terms:
y = -\frac{1}{2}x - 1
The equation in slope-intercept form is:
y = -\frac{1}{2}x - 1