Posted by **Faith** on Friday, May 29, 2009 at 9:35pm.

What is the slope of a line perpendicular to 2x + 4y = 5?

How would I figure this out? Thank you so much! :)

- Algebra (please help!) -
**Reiny**, Friday, May 29, 2009 at 9:39pm
You are probably used to reading the slope from an equation in the form y = mx + b so let's change it to that

2x + 4y = 5

4y = -2x + 5

y = (-2/4)x + 5/4

so the slope of the given line is -1/2

recall that slopes of perpendicular lines are "opposite reciprocals" of each other

so the new line has slope +2

- Thank you so much! One more question... -
**Faith**, Friday, May 29, 2009 at 9:42pm
This is a different problem...

Find the distance between A (0,1) and B (4,5).

Is this like the slope?

- Algebra (please help!) -
**Reiny**, Friday, May 29, 2009 at 9:53pm
the calculations might look similar, but the concept is much different.

you should have seen the formula

distance = √[(change in x's)^2 + (change in y's)^2]

= √[(4-0)^2 + (5-1)^2]

= √[16+16]

= √32

notice the same calculation as deltax and deltay ?

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