SOLUTION: locate the point on the line segment between A(3,-5) and B(13,-15) given that the point 4/5 of the way A to B

Algebra.Com
Question 1151620: locate the point on the line segment between A(3,-5) and B(13,-15) given that the point 4/5 of the way A to B
Found 2 solutions by greenestamps, math_helper:
Answer by greenestamps(13216)   (Show Source): You can put this solution on YOUR website!


When you move 4/5 of the way from A to B along the line segment AB, you go 4/5 of the way in the x direction and 4/5 of the way in the y direction. So work with the x- and y-coordinates separately.

In the x direction from A to B is from 3 to 13, a distance of 10; 4/5 of that distance is 8, so the x coordinate of the point you are looking for is 3+8=11.

And in the y direction from A to B is from -5 to -15, a change of -10; 4/5 of that is -8, so the y coordinate of the point you are looking for is -5-8 = -13.

ANSWER:(11,-13)
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!


Call this point M.  M is at (Mx, My).



Mx is (4/5) of the x-distance from A to B

My is (4/5) of the y-distance from A to B





Mx = (4/5)(13-3) + 3 = 11

My = (4/5)(-15-(-5)) - 5 = -13



------------------

M is at  (11,-13)

------------------



Check:

|AB| = 



|AM| = 



 (ok)









 

RELATED QUESTIONS


locate the point equidistant from A = (3,8), B = (5,2) and C =... (answered by josgarithmetic,ikleyn)

In the figure below, ADC is a chord of a circle centre O and passing
through the points... (answered by ikleyn,Edwin McCravy)

Given A(-5,-4) and B(7,18), find the point two-fifths of the way from A to... (answered by Alan3354,robertb)

Given A(-5,-4) and B(7, 18), find the point two-fifths of the way from A to... (answered by stanbon)

Points A and C lie on a number line with coordinates -13 and 17, respectively. Find the... (answered by Greenfinch)

Find the point that partitions line segment AB in the given ratio.  A(-4, -7), B(2, 5),... (answered by solver91311)

Five points, A, B, C, D, and E, lie on a line, not necessarily in that order. segment AB... (answered by Fombitz)

A directed line segment AB on the coordinate plane starts from A (3,-9) and ends at B... (answered by solver91311)

the endpoint of segment AB are A(-1,-5)and B (9,11) . Find the coordinates of the point... (answered by stanbon)