Question

Distance between two parallel lines 3x+y=12 and mx + 2y =4

Answer 1

Wouldn't the slope of the second line have a slope of 3 also? It says the slope is 6 in my book

Answer 2

Not 3 but -3

Answer 3

parallel means it would have the same gradient
perpendicular lines gradient would be the negative reciprocal

Answer 4

yes it would be 3 also

Answer 5

But why does it say "since they are parallel , m = 6" I'm confused

Answer 6

Because you have a 2y in your equation.

Answer 7

Wouldn't that make it y = 3/2x+2?

Answer 8

Ohhh I see it now!

Answer 9

Why wouldn't it be a -6 ??

Answer 10

Yeah now that you mention it @radar I'm confused too 0_o

Answer 11

And they want the perpendicular distance between these two parallel lines........right?

Answer 12

Just the distance between?

Answer 13

To start off, what do you need to obtain the distance?

Answer 14

I believe the two equations can be resolved to:
y=-3x + 12 and
y=-3x + 2
these lines are parallel as they do have the same slope.
But I don't know how to determine the distance between them.

Maybe you determine a line that is perpendicular to one line and intersects at a point on the other. Good luck with it.

Answer 15

D = Sqrt(10) @Chlorophyll ?

Answer 16

Wow, that's fast! I haven't calculated at all, just express out my concept :P

Answer 17

@3psilon However I'd like to see how do you come up with it, would you!

Answer 18

Oh no it was in the book! lol

Answer 19

You'd better roll up your sleeve now ;)

Answer 20

How is 10/Sqrt(10) the same as sqrt(10)?

Answer 21

Yep, my result is √10 units!

Answer 22

Where do you get: 10/Sqrt(10) :0

Answer 23

Anyway, 10/√10 = √10 * √10 / √10 = ....