Question

distance between lines?
6x - 8y = 3
6x - 8y = -5

Answer 1

Hint: Use the distance formula for lines

Answer 2

\[\large d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]

Answer 3

That is for points

Answer 4

There's two ways to do it. You can either use the distance formula for LINES (yes there is such a thing) or you can find the line perpendicular to both given lines since they are parallel.

Answer 5

It's just a formula bro. It's nothing to get overly eager and excited about.

Answer 6

ok the question is the distance is 4/5. true or false?

Answer 7

The formula is

\[ d = \frac{|ax + by + c|}{\sqrt{a^2 + b^2}}\]

Where (x,y) is a point on one of the lines and a, b, c are the coefficients of the other line.

Answer 8

And I should say that this is specifically the formula for the distance between two PARALLEL lines.

Answer 9

8/10 = 4/5
correct

Answer 10

(x,y) = (.5,0) is a point on the first given line. So use a = 6, b = -8, c = 5 for the other one.

Answer 11

Are you happy @ChmE ?

Answer 12

how would you non parallel lines? @Hero such as x + y - 1 = 0 and y = -x + 6

Answer 13

If the lines are not parallel, then the distance between them would not be consistent.

Answer 14

That formula I gave you (as I stated previously) is for PARALLEL lines only

Answer 15

hmm but it is answerable

Answer 16

Well, actually, what you just posted are two parallel lines.

Answer 17

y = -x + 1 and y = -x + 6