Question

help?!?!(medal will be given)
Line EF has an equation of a line y = −2x + 7, and line GH has an equation of a line y = 1 over 2x −1. These two lines are

parallel because the slopes of the lines are equal

perpendicular because the slopes are opposite reciprocals

the same line when graphed

intersecting but not at a right angle

Answer 1

@esshotwired @phi will the answer be the last one?

Answer 2

what is the slope of the first equation ?
what is the slope of the second equation ?

Answer 3

the first one −2x
the second 1 over 2x

Answer 4

the slope is just the number part (leave out the x)

if you "flip" the second slope and multiply by -1 what do you get ?

Answer 5

-2

Answer 6

\[ \frac{1}{2} \]
flip and multiply by -1
\[-1 \cdot \frac{2}{1} \]
-2

Answer 7

in other words the slopes are "negative reciprocals"
when you see this, you have two lines that cross and form 90º angles

Answer 8

ah so the lines are perpendicular.

Answer 9

yes.

same slope means parallel
negative reciprocal slopes means perpendicular

Answer 10

though your question calls negative reciprocal "opposite reciprocal"

Answer 11

thx