find the ratio in wich the y-axis divides the line segment joining the points (5,-6) and (-1,-4) . Also find the point of intersection .
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Using the section formula, if a point (x,y) divides the line joining the points (x1,y1) and (x2,y2) in the ratio m:n, then
(x,y)=(m+nmx2+nx1,m+nmy2+ny1)
Let the required ratio be m:n
here,x1=5,x2=−1,y1=−6,y2=−4
Then, According to question, we have ;
m+nmx2+mx1=0
⇒m(−1)+n(5)=0
⇒5n=m
⇒m=5n
⇒nm=15
⇒m:n=5:1
Coordinate of the point of division
=(0,
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