Question

find the coordinate of point p which divides the line segment a=(0,4) to b=(6,8) in a ratio of 1:2

Answer 1

over 6 up 4
maybe over two up oh dang

Answer 2

over two up \(\frac{4}{3}\) ?

Answer 3

ok i probably screwed that up
let me think for a second

Answer 4

well actually maybe that is right
what method are you supposed to use ?

Answer 5

i would try \[(2,5\tfrac{1}{3})\] and see if that works

Answer 6

I'm supposed to use the directed line segment formula i think

Answer 7

x = 0 + 1/3 * (6-0)
y = 4 + 1/3 * (8-4)

Answer 8

i wish i knew that that was
maybe @aum will know

Answer 9

looks like what i wrote
had no idea that was a formula!!

Answer 10

tbh idek what it is ... the answer was right though so thanks(:

Answer 11

yw

Answer 12

They want a point 1/3 of ab from a.
The x-coordinate will be 1/3 along the "x distance" from a.
The y-coordinate will be 1/3 along the "y distance" from a.

Answer 13

IF AC is 1/3 of AB, then, due to similar triangles:
AD = 1/3 * AE = 1/3 * (x2-x1)
CD = 1/3 * BE = 1/3 * (y2-y1)

x coordinate of C = x1 + 1/3 * (x2-x1)
y coordinate of C = y1 + 1/3 * (y2-y1)