## kenneyfamily Group Title distance between lines? 6x - 8y = 3 6x - 8y = -5 one year ago one year ago

1. Hero Group Title

Hint: Use the distance formula for lines

2. ChmE Group Title

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

3. ChmE Group Title

That is for points

4. Hero Group Title

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.

5. Hero Group Title

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

6. kenneyfamily Group Title

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

7. Hero Group Title

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.

8. Hero Group Title

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

8/10 = 4/5 correct

10. Hero Group Title

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

11. Hero Group Title

Are you happy @ChmE ?

12. kenneyfamily Group Title

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

13. Hero Group Title

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

14. Hero Group Title

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

15. kenneyfamily Group Title