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Question
Find the distance between the points
A(-6,-4) and B(9,-12)
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Solution
A(-6,-4) and B(9,-12)
The given points are A(-6,-4) and B(9,-12)
` Then (x_1 =-6,y_1 = -4) and (x_2 = 9, y_2 =-12)`
`AB = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)`
`= sqrt((9-(-6))^2 +{-12-(-4)}^2)`
`=sqrt((9+6)^2 +(-12 +4)^2)`
`= sqrt((15)^2+(-8)^2)`
`= sqrt(225+64)`
`= sqrt(289)`
=17 units
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