In what ratio does x axis divide line segment joining points (-4,-6) and (-1,7)? Find coordinates of point of division
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The point of division is on x axis so co ordinates of that point is (x,0)
We know,
Y=m1×y2+m2y1/m1+m2
Or 0=7m1-6m2/m1+m2
Or 0(m1+m2)=7m1-6m2
Or 0=7m1-6m2
Or 6m2=7m1
Or m1:m2=6:7
Now value of x
X=m1*x2+m2*x1/m1+m2
Or x=-6-28/6+7
Or x= -34/13
We know,
Y=m1×y2+m2y1/m1+m2
Or 0=7m1-6m2/m1+m2
Or 0(m1+m2)=7m1-6m2
Or 0=7m1-6m2
Or 6m2=7m1
Or m1:m2=6:7
Now value of x
X=m1*x2+m2*x1/m1+m2
Or x=-6-28/6+7
Or x= -34/13
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