Question

given the points a(2,4) and b(8,10) find the coordinates of point p on directed line segment ab that partitions ab in the ratio ap to pb 5:1. enter answers as fully reduced fractions. p( )

Explanation:

Step1: Apply section formula for x-coordinate

$x = \frac{5 \times 8 + 1 \times 2}{5 + 1} = \frac{42}{6} = 7$

Step2: Apply section formula for y-coordinate

$y = \frac{5 \times 10 + 1 \times 4}{5 + 1} = \frac{54}{6} = 9$

Answer:

(7, 9)