Convert m=1/2 (2,4) from point slope form to slope intercept form

Given:
y - 4 = \frac{1}{2}(x - 2)

Step 1: Distribute the slope on the right-hand side.
y - 4 = \frac{1}{2}x - \frac{1}{2} \cdot 2

Step 2: Simplify the right-hand side.
y - 4 = \frac{1}{2}x - 1

Step 3: Add 4 to both sides to solve for y.
y = \frac{1}{2}x - 1 + 4

Step 4: Simplify the equation.
y = \frac{1}{2}x + 3

Thus, the slope-intercept form is y = \frac{1}{2}x + 3 .