Answer:
The slope of X'Y' is m.
Step-by-step explanation:
It is given that XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image X'Y'.
Let the slope and length of XY are m and l respectively.
The dilation shows the enlargement and comparison of the figure. If the scale factor is more than 1 , then it shows enlargement. If the scale factor is more than 0 but less than 1 , then it shows compression.
The corresponding sides of image and preimage are parallel to each other. Since the slope of parallel line are equal therefore the slope of XY and X'Y' are equal, i.e., m.
The length of the image is k times of the length of preimage. The length of X'Y' is
[tex]X'Y'=1.3\times XY=1.3l[/tex]
Therefore the slope of X'Y' is m.
