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Answer:
y = -1/2x -2
Explanation:
The given line has slope 2, so the perpendicular line will have slope -1/2, the negative reciprocal of the given slope.
The y-intercept is given as -2, so the line's equation in slope-intercept form is ...
y = mx +b . . . . line with slope m and y-intercept b
y = -1/2x -2