The coordinates of triangle QRS are Q(-2, 4), R14,0) and S(6,2). The figure was dilated and the new coordinates are Q(-3, 6), R'(6,0) and S'(9,3). What is the scale factor? What is the algebraic rule?​

Scale factor is 3/2

Step-by-step explanation:

Just take any coordinate of any point that was scaled and that had a non-zero initial value. Let’s take the x axis of Q. There’s .

So, the scaling factor has to be . You can confirm that . (I omitted because of zero values)

The algebraic rule for getting the point in the dilated space from any given point is

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.