Question

Douglas has a segment with endpoints I(5, 2) and J(9, 10) that is divided by a point K such that IK and KJ form a 2:3 ratio. He knows that the distance between the x-coordinates is 4 units. Which of the following fractions will let him find the x-coordinate for point K?
A. 2/3
B. 2/5
C. 3/2
D. 3/5

Answer 1

@jim_thompson5910

Answer 2

do you have something like this as your drawing so far?

Answer 3

No, because I wasn't sure how to even start it.

Answer 4

do you agree with the drawing?

Answer 5

Yes.

Answer 6

ok at this point, I'm stuck because I'm trying to figure out what they want exactly. Let me think

Answer 7

use the distance formula

Answer 8

let's try this

cut the horizontal distance into 5 equal pieces