Question

A line segment has endpoints at (-3, 8) and (9, -7). A point on the segment partitions the segment into a ratio 2:1. What is the point?

Answer 1

Answer:

Step-by-step explanation:

In this problem, x1 is -3, y1 is 8, x2 is 9, and y2 is -7. From the ratio 2:1, a = 2 and b = 1. Use these formulas to find the x and y coordinates of the point on the directed line segment:

For the x coordinate:

$\frac{bx_1+ax_2}{a+b}$

For the y coordinate:

$\frac{by_1+ay_2}{a+b}$

Filling in accordingly for x:

$\frac{1(-3)+2(9)}{3}$ which simplifies down to 5;

for y:

$\frac{1(8)+2(-7)}{3}$ which simplifies down to -2

Write these down because they are hard to remember but so simple to use!!!