Posted by **Selena** on Thursday, December 29, 2011 at 9:47am.

The coordinates of A and B are (7,-7) and (-2,2) respectively. If P and Q divide the line segment AB into 3 equal parts, find the coordinates of P and Q.

- Math -
**Steve**, Thursday, December 29, 2011 at 10:30am
Both x and y change by 9, so move along 1/3 of the way for P and Q.

I'll do P, and you should have to trouble finding Q.

x changes by -9 going from A to B, and y changes by +9. So, add (-3,3) to (7,-7) to get (4,-4).

Or, more formally,

Px = Ax + 1/3 (Bx - Ax)

Py - Ay + 1/3 (By - Ay)

for Q, ...

- Math -
**Henry**, Thursday, December 29, 2011 at 3:55pm
A(7,-7),P(x1,y1),Q(x2,y2),B(-2,2).

AP = AB/3,

x1-7 = (-2-7)/3,

x1-7 = -3,

X1 = 4.

y1-(-7) = 2-(-7)/3,

y1+7 = 3,

Y1 = -4.

AQ = (2/3)AB.

x2-7 = (2/3)(-2-7),

x2-7 = -6,

X2 = 1.

y2-(-7) = (2/3)(2-(-7),

y2+7 = 6,

Y2 = -1.

A(7,-7),P(4,-4),Q(1,-1),B(-2,2).

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