Line segment AB is divided by point P in the ratio of 1:4. Point A is (7,5) and point P is (10,14). What are the coordinates of point B?

Given:

The line segment AB is divided by point P in the ratio of 1:4.

Point A is (7,5) and point P is (10,14).

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

Section formula: If a point divide a line segment in m:n, then the coordinates of that point are

The line segment AB is divided by point P in the ratio of 1:4.

Using section formula, we get

Comparing the coordinates on both sides, we get

And,

Therefore, the coordinates of point B are (22,50).

x+y = 29, 5x + 2y = 100

step-by-step explanation:

i'm guessing it was a multiple first option was the correct answer

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn