Finding coordinates

[Jands1099]

 

[Jands1099]

 

[Deleted member 4993]

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Where is the "question" or "?" here!

 

[Dr.Peterson]

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Presumably you are supposed to find X, but you didn't show the instructions.

Are you aware that if B is some part of the way from A to C, then the same is true of its x- and y-components?

Please show what you've tried, so we can see what sort of help you need.

 

[pka]

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I may give you a way of doing this that seems strange. But please try to see why it works.
The line segment is:
$\ell (t) = (-1+6t,~4-7t)$ note that $\ell(0)=(-1,4)~\&~\ell(1)=(5,-3)$ so $\ell\left(\frac{1}{3}\right)=\left(1,\frac{5}{3}\right)$

 

[HallsofIvy]

That seems more complicated than necessary! Instead of getting parametric equations for the line, think "similar triangles" which tell you that you can do the x and y coordinates separately. What number is 1/3 of the way from -1 to 5? What number is 1/3 of the way from 4 to -3?