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# Coordinate Geometry-Finding ratio of a point splitting a line

Posted on 2016-10-23

Coordinate Geometry

Question: In what ratio is the line joining the points (4,2) and (3,-5) divided by the x-axis? Also, find the coordinates of the point of intersection.

Solution: Let the required ratio be(K:1) and the point on the x-axis be (x,0).

Taking (4,2)=(x1:y1) and (3,-5)=(x2:y2)

Since, y=(ky1+y1)/(k+1)

The ratio of m:n is 2:5 and the value of x is 26/7

(I am sorry that i am unable to use subscript in this web page)

My question is y is the solution using K:1 as the ratio. Secondly why is the solution starting with solving the value of Y (ordinate) and not X.

Kindly help.