Locate the point of the line segment between A (3, -5) and B (13, -15) given that the point is 4/5 of the way from A to B. Show
your work.
1 answer:
Answer:
(11, -13)
Step-by-step explanation:
A (3, -5) B (13, -15)
AC = |difference of y = |(-15 - (-5)| = 10
CB = | difference of x| = |13 - 3| = 10
ΔAMN ~ ΔACB ---- AA
∴ AM / AC = MN / CB = AN / AB
AM / 10 = MN / 10 = (4/5 AB) / AB = 4/5
AM = MN = 8
coordinate of M: y coordinate = -13 ... same as y coordinate of N
coordinate of N: x coordinate = 3 + 8 = 11
The point 4/5 the way from A to B is (11 , -13)
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