Question

how do i find the slope in 2x-3y=9

Answer 1

convert it to y = mx + b form, then m will be slope

Answer 2

You move 2x over to the other side of the equation so it's -3y=-2x+9 and then divide each side by -3 so it's y= 2/3x-3

Answer 3

2x-3y=9
2x - 9 = 3y

2 9
--x - -- = y
3 3

2
--x - 3 = y
3

so slope = 2/3

Answer 4

define to points and work the slope between them

Answer 5

when x=0, y = -3

when x=1; y= -7/3

the change in y is therefore -7/3 + 3 = 2/3

Answer 6

There's an easier way than to convert it into y= mx + b.
It's currently in A + B = C form.
A = 2
B = -3
C = 9

To find the slope, all you do is negative A over B
So -2/-3 = 2/3
Slope is 2/3