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A line is of the length 10 units and one...

A line is of the length 10 units and one end is at (2,-3). If the abscissa of the other end is 10, then find its ordinate.

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Let A=(2,-3), B=(10 ,y)
`AB = 10 implies AB^2 = 100`
`implies (2-10)^2+(-3-y)^2=100`
`implies (y+3)^2=100-64=36`
`implies y+3 +-6`
`implies y=-3+-6=-9` or 3.
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