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which of the following is the equation of the line thst is perpendicular to y=-1/4x-2 and goes through the point (-2,-3)?

Respuesta :

The slope of a line perpendicular to y= -1/4x - 2 is going to be the reciprocal of it. So it would be 4x. Then you'd need to find b.

y = mx+b

(Plug in slope, y-coordinate and x-coordinate)

-3 = 4 (-2) + b

(Simplify)

-3 = -8 + b

(Add 8 on both sides)

5 = b

The final answer would be y = 4x + 5

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