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C.) y = 5/4x - 4

Step-by-step explanation:

Points: (0,-4) and (4,1)

m = y2 - y1/x2 - x1

m = 1 - (-4)/4 - 0

m = 1 + 4/4

m = 5/4

Point: (4,1) (you may choose any points, but I will choose these since they are the easiest to work with)

y - y1 = m(x - x1)

y - 1 = 5/4(x - 4)

y - 1 = 5/4x - 5

y = 5/4x - 5 + 1

y = 5/4x - 4

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

idk

step-by-step explanation: