Question

Say that your equation is y=4x-2y=6 how do you find the slope??

Answer 1

Are you sure there are two equal signs?

Answer 2

No the =6 was on a different problem

Answer 3

So, the equation is actually y=4x-2y?

Answer 4

Yes

Answer 5

Hello?

Answer 6

Alright! So, slope-intercept form, a common way to see a line is: \[y=mx+b\]
You have to solve the equation so it is in this form. y and x being coordinates, b being the y-intercept and m being the slope.
We start by moving the -2y over to the side that already has a y. Now, you have \[3y=4x\]. Then, you divide the 3 from both sides and you should get \[y=4/3x\]
Looking back at our slope intercept form, 4/3 is the slope and the y intercept is 0. Does that make sense?

Answer 7

Yes thanks for the help can i ask you a few more questions?

Answer 8

Of course. I will do my best.

Answer 9

What does it mean when you derive slope from two coordinate pairs that are on a line?

Answer 10

I would assume it is referring to the slope formula: \[y_{2}-y_{1} \div x _{2}-x_{1} = m\]
Can you give me the pairs of coordinates? Or is it asking in general?

Answer 11

Its asking in general...

Answer 12

Okay. Well, that formula up there is how it is done. You see, two coordinates: \[(x_{1},x_{2})\] and \[(x_{2},y_{2})\] fit right into that formula!

Answer 13

An example: (3,4) and (2,5) would have the slope:
(5-4)/(2-3) = 1/-1 = -1.

Answer 14

Ok thanks