Determine the ratio in which the line 2x+y-4=0 divides the line segment joining A(2,-2) and B (3,7). Also find the coordinates of the point of division
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Let the ratio be K:1 .
X = ( 3k + 2 ) / k + 1
Y = ( 7k - 2 ) / k + 1
2x + y - 4 = 0
On putting value of x and y --->
=> [2 ( 3k + 2 ) + 7k - 2 ] / k+1 = 4
=> 6k + 4 + 7k - 2 = 4k + 4
=> 9k = 2
=> k = 2 / 9
Hence ratio = 2:9
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