Determine the ratio in which the point Z(a,-5) divides the line segment joining the points X(2,1) and Y(5,-8) also find the value of a
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let Z divides XY in the ratio k:1
y coordinate of Z = m1y2+m2y1 / m1+m2
=> -5 = -8+1/k+1
=> -5k -5 = -7
=> -5k = -7+5
=> k = 2/5
y coordinate of Z = m1y2+m2y1 / m1+m2
=> -5 = -8+1/k+1
=> -5k -5 = -7
=> -5k = -7+5
=> k = 2/5
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