in what ratio does the x - axis divide the line segment joining the points (2,-3) and(5,6)? Also find the coordinates of the point of intersection
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We know that
x = M1x2 +M2x1/M1+ M2
And
y = M1y2 + M2y1/M1 +M2
But we know that y=0
So
0 =6M1-3M2/M1 + M2
0 = 6M1 -3M2
-6M1 = -3M2
M1/M2 = 1/2
The ratio is 1 : 2
x = 1*5 +2*2/1+3 = 5+4 /3 =9/3 =3 The coordinate is (3,0)
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