Question

In rectangle ABCD, AB has a slope of 2. The slope of BC is by 4x-2. Solve for 'x'.

Answer 1

Thanks a lot by the way! ♥

Answer 2

the adjacent sides of rectangle are perpendicular, did u know this ?

Answer 3

Uhh yeah I did. (:

Answer 4

since sides are perpendicular, the product of slope = -1

Answer 5

so you just need to solve 2 (4x-2) = -1
for x
:)

Answer 6

So what is -1 the slope of?

Answer 7

you can understand it this way if line ab has a slope =2, then line bc perpendicular to line ab has a slope = -2

Answer 8

-1 is not any slope.
when lines are perpendicular, the product of their slopes is -1

like if i have line1 with slope = m
and line2 with slope n,
if these lines are perpendicular, then m*n =-1

Answer 9

Is it always that? I never knew.

Answer 10

therefore the slope of bc is -2
but we have an eqn for the slope,
therefore,
4x-2= - 2

Answer 11

Yeah and you get 4x=0

Answer 12

So the answer would be 3/8?

Answer 13

no...
slope of BC is NOT -2

Answer 14

its -1/2?

Answer 15

you got this, right ???
"sides are perpendicular, the product of slope = -1"

Answer 16

yes, its -1/2

Answer 17

4x-2 = -1/2

Answer 18

yeah I did. the answers 3/8 then?

Answer 19

4x = 3/2
YES
x = 3/8 is correct :)

Answer 20

Thanks (:

Answer 21

oh im sorry, i guess i messed up trying to explain how perpendicular slopes are related :(

Answer 22

welcome ^_^

Answer 23

Oh no its okay! It was just a small missup.

Answer 24

Thanks for the help though! ♥