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Which of these points lies on the line described by the equation below? y - 8 = 3(x + 6)
a. (-8,6)
b. (-6,8)
c. (6,-8)
d. (8,-6)

Answer :

AL2006
                         y - 8 = 3 (x+ 6)

a). Try (-8, 6)
                         y - 8 = 3 (x+ 6)
                         6 - 8 = 3 (-8 + 6)
                           -2   = 3 (-2)
                           -2  = -6                   No. That doesn't work.

b). Try (-6, 8)
                         y - 8 = 3 (x + 6)
                         8 - 8 = 3 (-6 + 6)
                           0    = 3 ( 0 )
                           0    =  0                    Yes. That works.


c). Try (6, -8)
                         y - 8 = 3 (x+ 6)
                        -8 - 8 = 3 (6 + 6)
                         -16  = 3 (12)
                         -16  = 36                    No. That doesn't work.

d). Try (8, -6)
                         y - 8 = 3 (x+ 6)
                       -6 - 8 = 3 (8 + 6)
                          -14 = 3 (14)
                          -14 = 42                   No. That doesn't work.

Choice (b) is the only point that lies on the line.


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