Answer: y = -2x - 3
Explanation:
Convert the equation into slope-intercept form.
y + 2= 1/2x Minus 2
y = 1/2x - 2
The slope of the line perpendicular to this one will have a slope equal to the negative reciprocal.
The new slope of the perpendicular line is -2
Plug the new slope and the given point into the slope-intercept form to find the y-intercept.
-7 = -2(2) + b
-7 = -4 + b
b = -3
So the equation of the perpendicular line is y = -2x - 3