The perimeter of a rectangle changes from 2.5 to 10 after a dilation. What was the scale factor of the dilation?
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Do you mean "perpendicular to k"? We have no line c there so I'm going with line k. First we need the slope of line k. Fitting those values into the slope formula we have 
. So the slope of k is 9. The slope of a line perpendicular to k has the opposite sign and the fraction is flipped. The perpendicular slope then is -1/9.