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.
They do not mention K:1 in the problem, and they did not really use it in the solution. I think it is intended as a hint to use ratios. Or maybe because the run of the line segment is 1.
Back to the x-axis.
y = 0 on the axis
y > 0 above the axis
y < 0 below the axis (Once again, nothing about x)
The term x-axis refers to a particular line. Make a good drawing and don't worry about the terminology.