Answer:
(60, 41)
Explanation:
You want to find the coordinates of C such that B(12, 5) partitions AC into the ratio 1:3. Point A is (-4, -7).
Ratio
The required ratio is ...
AB:BC = 1:3
3(B -A) = C -B . . . . . . in terms of coordinates
4B -3A = C . . . . . . solve for C
C = 4(12, 5) -3(-4, -7) = (48+12, 20+21)
C = (60, 41)
The coordinates of point C are (60, 41).
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Additional comment
In the attachment, point C was found by dilating point A about point B by a factor of -3.
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