Find the coordinates of the point that is two-thirds of the way from A(-4, 3) to B(5, 9).
Answer: A
A point that is two-thirds of the way from A to B divides the line segment AB in the ratio 2:1.
Using the section formula with \(m_1=2\) and \(m_2=1\):
x = \(\frac{2(5) + 1(-4)}{2+1} = \frac{10-4}{3} = \frac{6}{3} = 2\)
y = \(\frac{2(9) + 1(3)}{2+1} = \frac{18+3}{3} = \frac{21}{3} = 7\)
The coordinates are (2, 7).