Triangle XYZ is dilated by a factor of 3 with the center of dilation at the origin to form triangle XYZ. What are the coordinates of triangle XYZ?

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

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answer