SOLUTION: What are the coordinates of the point that is 1/5 of the way from A(−7, −4) to B(3, 6)?
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Question 1023728: What are the coordinates of the point that is 1/5 of the way from A(−7, −4) to B(3, 6)?
Found 3 solutions by ikleyn, josgarithmetic, Alan3354:
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Some unknown point (x,y).
Line AB is
Or some general point (x, x+3).
The previous, distance formula derived equation then becomes
EITHER x=-9 OR x=-5.
One of those will work and the other one will not work.
Take . The corresponding y, being on line AB will be ; for the point (-5,-2).
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
What are the coordinates of the point that is 1/5 of the way from A(-7,-4) to B(3,6)?
----------
Increase in x from -7 to 3 --> 10
Increase in y from -4 to 6 --> 10
1/5 of 10 = 2
------------
Add 2 to x & y of point A.
--> (-5,-2)
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