Question

* 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.

Answer 1

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:

`m=(-1-4)/(3-2)=-5`
`m=(7-6)/(3-2)=1`

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

Since m1 is different from m2

And m1*m2 is not -1