Question

A segment with endpoints A (4, 2) and C (1, 5) is partitioned by a point B such that AB and BC form a 1:3 ratio. Find B.

Answer 1

The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)

What is a line segment?

A line segment is formed by joining two points by a straight line.

Analysis:

The coordinates of point B(x,y) are gotten by the formula

x = $\frac{px2 + qx1}{p+q}$

y = $\frac{py2 + qy1}{p + q}$

where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B

are the values of the ratio p:q.

x1 = 4, x2 = 1 y1 = 5,  y2 = 2, p = 1, q = 3

x = $\frac{(1 x 1) + (3 x 4)}{1 + 3}$ = 3.25

y = $\frac{(1 x 5) + ( 3 x 2)}{1+3}$ = 2.75

coordinates of B are ( 3.25, 2.75)

In conclusion, the coordinates of point B are (3.25, 2.75)

Learn more about line segment : brainly.com/question/2437195

#SPJ1