The point that divides the line segment formed by endpoints A(-4,-2), B(1,8) in ratio 4:1 is (0,6)
Step-by-step explanation:
The formula for a point dividing a given line segment with end-points (x1,y1) and (x2,y2) dividing in the ratio m:n is given by:
[tex]P = (\frac{nx_1+mx_2}{m+n} , \frac{ny_1+my_2}{m+n})[/tex]
Given
A( -4,-2) = (x1,y1)
B(1,8) = (x2,y2)
m = 4
n = 1
Putting the values in the formula
[tex]P = (\frac{(1)(-4)+(4)(1)}{4+1} , \frac{(1)(-2)+(4)(8)}{4+1})\\\\P = (\frac{-4+4}{5} , \frac{-2+32}{5})\\\\P = (\frac{0}{5} , \frac{30}{5})\\\\P = (0,6)[/tex]
Hence,
The point that divides the line segment formed by endpoints A(-4,-2), B(1,8) in ratio 4:1 is (0,6)
Keywords: Coordinate geometry, line segment
Learn more about coordinate geometry at:
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