Question

Find the coordinates of P so that P partitions the segment AB in the ratio 1:3 if A(−4,13) and B(−2,0).
A. (-13, 2)
B. (0.5, -3.25)
C. (4.5, -16.25)
D. (-3.5, 9.75)

Answer 1

So, the answer is D.............

Answer 2

The coordinates P so that P partitions the segment AB in the ratio 1:3 will be P(-3.5,9.75).

What is the difference between a ratio and a proportion?

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

The coordinates of points are;

A = (x₁,y₁) =(−4,13)

B = (x₂,y₋(−2,0)

P(x,y)

AB in the ratio of,

a:b = 2:3

The coordinates of points P are;

$\rm x = \frac{ax_1+by_1}{a+b}$

$\rm x = \frac{3(-4)+1(-3)}{3+1} \\\\ x = -3.5 \\\\\ y = \frac{3(13)+1(0)}{4} \\\\ y = 9.75$

Hence, the coordinates of P so that P partitions the segment AB in the ratio 1:3 will be P(-3.5,9.75).

To learn more about the ratio, refer to the link;

https://brainly.com/question/14335762

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