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* The functions f(x) and g(x) are both linear. f(2) = 4 and f(3) = -1, while g(2) = 6 and g(-3) = 7. Are these lines parallel, perpendicular, or neither? Show your work algebraically.

Respuesta :

Solution

f(2) = 4 and f(3) = -1

g(2) = 6 and g(-3) = 7

From the info given we can see this :

x = 2 f(2) = 4 , g(2)= 6

x= 3 f(3)= -1 , g(3)= 7

And we can calculate the slope with the following formula:

[tex]m=\frac{-1-4}{3-2}=-5[/tex][tex]m=\frac{7-6}{3-2}=1[/tex]

And for this case we can conclude that the lines are neither

Since m1 is different from m2

And m1*m2 is not -1

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