Question

8. * 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. 11 Homework Packet (3.4-3.8) 366 KB VIEW Support | Schoology Blog | PRIVACY POLICY | Terms of Use

Answer 1

we must find the for each fuction and we can say from it if they are parellel or perpendicular

F(x)

slope

`m=(y2-y1)/(x2-x1)`

(x2,y2)=(3,-1) and (x1,y1)=(2,4)

`\begin{gathered} m=(-1-4)/(3-2) \\ m=-5 \end{gathered}`

G(x)

(x2,y2)=(2,6) and (x1,y1)=(-3,7)

slope

`\begin{gathered} m=(6-7)/(2-(-3)) \\ m=-(1)/(5) \end{gathered}`

when the slopes are equals the lines are parellel so This is not the case

when the slopes one is the other inverted and with a different sign they are parellel so this is not the case

So, the solution is neither