SOLUTION: the line joining A(2,3) and B(6,-5)meet the xaxis at P . write down the y cordinate of P hence find the ratio AP:PB

Question 65749: the line joining A(2,3) and B(6,-5)meet the xaxis at P .
write down the y cordinate of P hence find the ratio AP:PB
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the line joining A(2,3) and B(6,-5)meet the xaxis at P .
write down the y cordinate of P hence find the ratio AP:PB
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Using the two given points you can find an equation for
the line AB:
m=[-5-3]/[6-2]=-2
To find "b" use 3=-2(2)+b
b=7
EQUATION of line AB: y=-2x+7
The x-intercept is (0,7)
The distance AP=sqrt[(2-0)^2+(3-7)^2]=sqrt20=2sqrt5
The distance PB=sqrt[(6-0)^2+(-5-7)^2]=6sqrt5
Then the ratio of AP to PB = 2sqrt5:6sqrt5 = 1:3
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Cheers,
Stan H.
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