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27 votes
27 votes
9. ** f(x) = {x – 2 and g(x) = 2x + 4. Are f(x) and g(x) parallel, perpendicular or neither parallel nor perpendicular to each other. Justify.

User Amitesh
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2.6k points

1 Answer

10 votes
10 votes

in order for 2 lines to be parallel both lines must have the same slopem in this case


(1)/(2)\\e2

the lines are not parallel.

when 2 lines are perpendicular the product between the slopes of the lines must be equal to -1


\begin{gathered} ((1)/(2))\cdot(2)=1 \\ 1\\e-1 \end{gathered}

in this case the lines are neither parallel nor perpendicular.

PERPENDICULAR

NOT PERPENDICULAR

9. ** f(x) = {x – 2 and g(x) = 2x + 4. Are f(x) and g(x) parallel, perpendicular or-example-1
User Rendy Eko Prastiyo
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3.2k points