Asked by Hannah

Given the coordinates of A and C ad (-6,-5) and (6,7) respectively and point B is on AC. Find the coordinates of B such that the ratio of AB to BC is 3:1

I just need an assurance because I got the answer (30,31). And I started to feel weird if my answer is correct? Because its too big
Answered by oobleck
You know that C is between A and B. How can its coordinates be (30,31)? That's way off the chart! Did you actually plot the points? !?!
You were correct to feel weird. Always do a sanity check when you get an answer. See whether it makes any sense.

AB:BC = 3:1 means that C is 3/4 of the way from A to B.
For the x-coordinate, 3/4 of the way from -6 to 6 is 3
For the y-coordinate, 3/4 of the way from -5 to 7 is 4
So, B = (3,4)

Too bad you didn't show any of your work ...
Answered by Hannah
What I did is
X = X1 + k (X2-X1)
= -6 + 3 (6+6)
= -6 + 3 (12)
= -6 + 36
= 30
Same procedure with the other side. Thank you very much! I just can't understand my teacher completely and having a trouble researching in YouTube and textbook.
Answered by oobleck
I see I made a typo. It should have read
AB:BC = 3:1 means that B is 3/4 of the way from A to C.
Answered by Writeacher
https://www.khanacademy.org/
Here's another place to find lessons online. Just click on Courses at the top left, and choose what you need.

Then return here to ask a math tutor to check your work.
Answered by Hannah
I will use that! Thank you very much for the advise!
Answered by Writeacher
You're welcome!
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