Question 828450
y = - 1/2x -5 has a slope of -1/2


Flip the fraction:  -1/2 ----> -2/1 = -2


Flip the sign: -2 ----> +2 = 2


So the perpendicular slope is m = 2


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y = mx + b


y = 2x + b ... plug in the perpendicular slope


-2 = 2(1) + b ... plug in the given point


-2 = 2 + b


-2 - 2 = b


-4 = b


b = -4


So we now know that m = 2 and b = -4. This means {{{y = mx+b}}} turns into {{{y = 2x-4}}} which is the final answer