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Are the points (3,4) and (2,-6) on the s...

Are the points `(3,4)` and `(2,-6)` on the same or opposite sides of the line `3x-4y=8?`

Text Solution

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We have line 3x-4y-8=0.
Let L (x,y) = 3x-4y-8
`therefore L(3,4) = 3(3)-4(4)-8=-15`
and L(2,-6) = 3(2)-4(-6)-8=22
Since L(3,4) and L(2,-6) have opposite signs, point (3,4) and (2,-6) lie on opposite sides of the line.
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