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

$m=\frac{y2-y1}{x2-x1}$

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

$\begin{gathered} m=\frac{-1-4}{3-2} \\ m=-5 \end{gathered}$

G(x)

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

slope

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

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