Answer:
see below
Explanation:
Find the equation of the line in slope-intercept form with the properties:
slope: m = -1/2
point: p_1 = (6, -6)
Substitute the slope m = -1/2 and point (x_1, y_1) = (6, -6) into the point-slope equation y - y_1 = m (x - x_1):
y - (-6) = -1/2 (x - 6)
-1/2 (x - 6) = (6 - x)/2:
6 + y = (6 - x)/2
Subtract 6 from both sides:
y = (6 - x)/2 - 6
(6 - x)/2 - 6 = -x/2 - 3:
y = -3 - x/2
Distribute: (6 - x)/2 = 3 - x/2:
Answer: y = -x/2 - 3