Question

Can somebody please explain how to find the slope of the line determined by the following equation, without graphing it on paper? 3x=4y-2
I need a formula explained to be step by step, all the way to the end.

Answer 1

Finding the slope is very simple.

First, solve for y in terms of x.
Then look at the coefficient on the x variable..
This is the slope.

Answer 2

?

Answer 3

??

Answer 4

don't understand the 'solve for y in terms of x'...

Answer 5

Basically you want to get y by itself on one side of the equal sign.

Answer 6

I've tried just isolating y....did not get the answer I needed..

Answer 7

\[ay + bx + c = 0 \implies y = \frac{-b}{a}x - \frac{c}{a}\]

Answer 8

What did you get when you isolated the y?

Answer 9

3/4x+1/2. The answer key to my college textbook says it's just 3/4.

Answer 10

Right. Which is what I said.

Answer 11

Once you isolate the y, you take the coefficient on the x variable. That is your slope.

Answer 12

y = 3/4x+1/2
Therefore the coefficient on the x variable is 3/4
Therefore the slope is 3/4

Answer 13

Got it now, thanks. :)

Answer 14

the simplest way is just to determine 2 points from the equation; and find out how far the y moves when x moves 1 unit

Answer 15

3x=4y-2 ; when x =0, y = 2/4
; when x = 1, y = 5/4

the slope is the change in y; 5/4 - 2/4 = 3/4

Answer 16

The amount the y moves when x moves one unit _is_ the coefficient on the x variable. ;p

Answer 17

yes it is :)

Answer 18

much easier to find then plugging in numbers ;p

Answer 19

easier? I agree, but simplicity is not in moving and rearranging. Just another way to accomplish it ;)

Answer 20

I've got to get back to my math now...thanks polpak. amistre....I use your method on other slope problems..but found it confusing on this one, glad that I now have a back-up formula. Thanks again. :)

Answer 21

good luck ;)