Write the equation of a line slope intercept form parallel to y=1/2x + 3 passing through the point (6,-2)

1. Identify the slope of the given line:
m = \frac{1}{2}

2. Use the point-slope form of a line equation,
y - y_1 = m(x - x_1), with the point (6, -2) and slope m = \frac{1}{2}.

3. Substitute the values into the point-slope form equation:
y - (-2) = \frac{1}{2}(x - 6)

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

5. Solve for y to get the slope-intercept form:
y = \frac{1}{2}x - 3 - 2 \Rightarrow y = \frac{1}{2}x - 5

Answer:
y = \frac{1}{2}x - 5