Question

What is the slope of the line whose equation is 2x−4y=10 ?

Answer 1

Hello @morganislame
an easy way to do this question is to consider the "slope intercept form"
which is y = mx + b
where m is the slope

Answer 2

so what we want to do is try to get y alone to one side

Answer 3

okay, gotcha

Answer 4

do you know how to do that?

I can guide you through it if you'd like :)

Answer 5

That would be great. This is a new concept for me, so its a little bit confusing. Thank you!

Answer 6

If we want to get "y" alone, we have to add/subtract/multiply/divide stuff to detach the "stuff" crowding the "y"

2x - 4y = 10
^ we have 2x crowding the y so we try to subtract 2x first

2x - 4y = 10
-2x - 2x

Answer 7

Yes, i do. That makes sense :)

Answer 8

Great!

Then
-4y = 10 - 2x
^^ we have this "-4" crowding the y
but it is attached with multiplication, so we should use division to separate it

divide both sides by -4
(-4y)/(-4) = (10 - 2x)/(-4)
becomes
y = (10 - 2x)/(-4)

\[y = \frac{ 10 - 2x }{ -4 }\]
can you try simplifying that? :)

Answer 9

hint:
\[y = \frac{10 - 2x}{-4} = \frac{10}{-4} + \frac{-2x}{-4}\]

Answer 10

I understand it now, and i got the right answer! Thanks for giving me that quick review. :)

Answer 11

I'm glad I could help @morganislame

Feel free to tag me with @Angle if you need any more help!