- #1

at94official

- 50

- 19

**1. Here is the Problem:**

A line passes through A(2,3) and B(5,7).

Find:

(a) the coordinates of the point P on AB

extended through B to P so that P is twice as far from A as from B;

(b) the coordinates if P is on AB extended through A so that P is twice as far from B as from A.

extended through B to P so that P is twice as far from A as from B;

(b) the coordinates if P is on AB extended through A so that P is twice as far from B as from A.

## Homework Equations

:[/B]To get the coordinates P, here is the equation i used:

X

_{P}=X

_{1}+R(X

_{2}-X

_{1})

R is the Ratio of AP/AB

I'll do the same for Y

_{p}

## The Attempt at a Solution

:[/B]

So this is my attempt to solve the (a) P Coordinates

**.**

AP = 2BP

R=AP/AB=2/1=2

X = X

_{1}+R(X

_{2}-X

_{1})

X = 2+2(5-2)

X = 2+2(3)

X = 2+6

X = 8

For Y:

Y = 3+2(7-3)

Y = 3+2(4)

Y = 3+8

Y = 11

∴ (a)P (8,11)As i attempt to graph it. It seems like it is too much based on the problem. What did I miss?