Question

A preimage includes a line segment of length x and slope m. If the preimage is dilated by a scale factor of n, what are the length and slope of the corresponding line segment in the image?
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Answer 1

\[
x' = nx,\quad m'= y'/x' = y/x'=mx/x' = m(x'/n)/x' = mx'/nx' = m/n
\]