Dividing a segment into a ratio of 4:7

Question

"Find the point, M, that divides segment AB into a ratio of 4:7 if A is at (-33, 0) and B is at (0, 44)." I received this question but was not taught this in school math class. I don't know how to split the line segment into equal parts, especially with such big coordinates, nor how to find a certain ratio. Can someone help me answer this, and maybe even explain a bit? Thanks in advance!

Answer 1

To find out the any point on given line which divides in a given ratio would be

 

lets assume given points as  A(-33,0)  and B(0,44)     and ratio 4:7

                                             (x1,y1) and (x2,y2)                  m:n

 

    coordiantes of point M(x,y)  -> x =  mx2+nx1/(m+n)  ---1    and    y = my2+ny1/(m+n)  ---2

 

 

Substitute  the values in above  eq 1 & 2 to get the internal division of line segment.