Math
posted by Selena on .
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.

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, ... 
A(7,7),P(x1,y1),Q(x2,y2),B(2,2).
AP = AB/3,
x17 = (27)/3,
x17 = 3,
X1 = 4.
y1(7) = 2(7)/3,
y1+7 = 3,
Y1 = 4.
AQ = (2/3)AB.
x27 = (2/3)(27),
x27 = 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).