What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2? x = (
StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (0, 1) (–1, 3) (–2, 5) (1, 0)? if your answer is correct i will mark you the brainliest
1 answer:
Answer:
(0, 1)
Step-by-step explanation:
In the picture attached, the question is shown.
From the picture:
- x2 = -4 (x-coordinate of the endpoint)
- y2 = 9 (y-coordinate of the endpoint)
- x1 = 2 (x-coordinate of the startpoint)
- y1 = -3 (y-coordinate of the startpoint)
Ratio m:n, means that m = 1 and n = 2.
Replacing into the formulas:
x-coordinate = m/(m+n) * (x2- x1) + x1 = 1/3 * (-4 - 2) + 2 = 0
y-coordinate = m/(m+n) * (y2- y1) + y1 = 1/3 * (9 - (-3)) + (-3) = 1
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