Question

1. In what ratio does the point P on the x-axis divide the line segment joining the point
A(-4, 5) and B (3, -7)? Also find the coordinates of the point P.
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Answer 1

let, A (- 4, 5) = ( x1, y1 )

B. ( 3,-7) = ( x2, y2)

P. ( x,y) =?

By using midpoint formula

x = x1+x2 / 2. y= y1+ y2/ 2

= -4+3/2. = 5+(-7) /2

= -1 /2. = 5 - 7 /2.

x = -1/2. y.= -2/2

y = -1

The co-ordinates of point p is (-1/2,-1)