Question

Is there a way to find the slope of the line determined by the following equation, without having to graph it all out on paper? 3x=4y-2

Answer 1

3/4

Answer 2

What formula did you use to get 3/4?

Answer 3

Rewrite it as
Y=(3/4)x+(2/4)

Answer 4

Y=mx+c
Where m is the gradient c is the y-axis intersect

Answer 5

So basically you just isolate y instead of x?

Answer 6

I still can't see how you got from 3x=4y-2 to Y=(3/4)x+(2/4) ...

Answer 7

I've tried just isolating Y and did not come up with your formula...

Answer 8

Add 2 to both sides
3x+2=4y
Then dividie both sides by 4
(3/4)x+2/4=y
Rewrite as
Y=(3/4)x+1/2