Question

The endpoints of line AB are A(9, 4) and B(5, –4). The endpoints of its image after a dilation are A'(6, 3) and B'(3, –3). Explain how to find the scale factor.

Answer 1

there are a lot of ways to find this. the one i used is using the distance formula (d = \[\sqrt(x_2 - x_1)^2 + (y_2 - y_1)^2)\] and divide the distance of AB and A'B' and you'll get the scale factor which in this case was 4/3

Answer 2

which should i use for the x2 x1 y2 y1

Answer 3

plug in both points in both line and divide them so it'll be \[\sqrt{(9-5)^2 + (4 - -4) ^2}\]
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\[\sqrt{(6-3)^2 + (3 - -3)^2}\]

which is square root of 16 / square root of 9

Answer 4

okay so how do i get 4/3

Answer 5

ohh nevermindddd