Question

AB is dilated by a scale factor of 3 to form A1B1. Point O, which lies on AB, is the center of dilation. The slope of AB is 3. The slope of A1B1 is . Through point O.

Answer 1

Answer:

$Slope\ of\ A'B'= 3$

Step-by-step explanation:

Given

$Slope\ of\ AB= 3$

Required

Determine the slope of A'B'

Represent the coordinates of AB with (x,y), such that

$AB = (x,y)$

Since A'B' is 3 * AB, we have

$A'B' = 3 * AB$

Substitute (x,y) for AB

$A'B' = 3 * (x,y)$

$A'B' = (3x,3y)$

Since the slope of AB = 3, then the slope of A'B' is also equal to 3 because dilation through (0,0) does not have effect on the slope