Question

Given the line segment AB with endpoints having coordinates A(-3,1) and B(5,-3). Find the coordinates of the points that divide AB internally in the ration 3:1

Answer 1

is this related rates?

Answer 2

looks more like dilations to me

Answer 3

huh?

Answer 4

seems to me like you're going to end up with new coordinates A' and B'. Does that look familiar?

Answer 5

nope

Answer 6

This is asking you to split up the segment such that one part of it is three times longer than the other.

The easiest way to do this is to split the segment into four parts. Let one segment be 1 of those four, let the other be 3 of those four. Then the ratio of the two is 3:1. That is so say, one segment is three times the length of the other.

I attached a pic, which might make all that easier to understand. :)

Hope this helps.

Answer 7

okay

Answer 8

Interesting, lol

Answer 9

yes very i still dont know how to solve it though we didnt learn this yet...

Answer 10

Purplec, I can set up a twiddla or something, it's probably best worked through as you see the pic being drawn.

Answer 11

Ooh, ooh....I wanna see too! lol

Answer 12

for the line segment to have 3:1 ratio it has 4 equal parts
easiest way is look at distance from A to B in terms of x,y respectively then divide by 4
x: distance from -3 to 5 is 8, 8/4 = 2
y: distance from 1 to -3 is 4, 4/4 = 1
so from A(-3,1) add 2 to x coord and subtract 1 to ycoord
yielding point C (-1,0)
CB is 3 times longer than AC