Question

a point m on a segment with endpoints x (1, -2) and y (10, 3) partitions the segment in a 5:1 ratio. find m. you must show all work to receive credit.

Explanation:

Step1: Use section - formula for x - coordinate

$x=\frac{5\times10 + 1\times1}{5 + 1}=\frac{50+1}{6}=\frac{51}{6}=\frac{17}{2}=8.5$

Step2: Use section - formula for y - coordinate

$y=\frac{5\times3+1\times(-2)}{5 + 1}=\frac{15 - 2}{6}=\frac{13}{6}\approx2.17$

Answer:

$M(8.5,\frac{13}{6})$