What is the slope of 3x-2y equals 12?

Answer 1

rearrange into standard form: first add 2y to each side:

3x -2y + 2y = 12 + 2y --> 3x = 12 + 2y

Then subtract 12 from each side: 3x - 12 = 12 + 2y - 12 ---> 3x - 12 = 2y

next divide both sides by 2: (3/2)x - (12/2) = (2/2)y

(3/2)x - 6 = y

so y = (3/2)x -6

in y = mx + b, with m as slope and b as y-intercept, so slope(m) is 3/2 = 1.5

also the line intersects the y-axis at y = -6

Answer 2

3x-2y=12

-2y=12-3x