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Answer:
y = 1/2x -2
Explanation:
The given equation is in slope-intercept form, so you recognize its slope is -2. The perpendicular line will have a slope that is the opposite reciprocal of that, so is -1/-2 = 1/2.
The y-intercept can be found from ...
b = y -mx . . . . . for line of slope m through point (x, y)
b = -1 -(1/2)(2) = -1 -1 = -2
Then the slope-intercept equation of the perpendicular line is ...
y = 1/2x -2