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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

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1