Question

1. Find the point on the directed line segment from (-2, 0) to (5, 8) that divides it in the ratio of 1:3.

Answer 1

Explanation:

1:3 means you need to find 1 /(1+3) = 1/4 th of the way to 5,8 from -2,0

x: from -2 to +5 is 7 units 1/4th * 7 = 7 /4 added to -2

is - 1/4

y: from 0 to 8 is 8 units 1/4 th * 8 = 2 added to 0 is 2

(-1/4 , 2)