Question

Let point P be the weighted average of points
A
(
7
,
3
)
and
B
(
−
3
,
−
10
)
, where point A weighs four times as much as point B. What are the coordinates of point P?

Answer 1

The coordinate of point P such that the ratio is 4;1 is (14/5, 2/5)

Midpoint of coordinates using ratio

The formula for finding the midpoint of a line in the ratio m:n is expressed as:

P(x, y) = {(mx₁+nx₂)/m+n, (my₁+ny₂)/m+n,}

Given the coordinate of A and B on the line as A(7, 3) and B(3, -10). If point A weighs four times as much as point B, then the required ratio is 4:1

Substitute

P(x, y) = {(4(7)+1(3))/5, (4(3)+1(-10))/5,}

P(x, y) = (11+3/5, 12-10/5)

P(x, y) = (14/5, 2/5)

Hence the coordinate of point P such that the ratio is 4;1 is (14/5, 2/5)

Learn more on midpoint of a line here: https://brainly.com/question/5566419

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