How to find slope and y intercept 6x-5y=15?

We need to put this equation in y = mx + b form because in this form, the slope will be in the m position and the y intercept will be in the b position. So basically, we solve for y.

6x - 5y = 15 subtract 6x from both sides
-5y = -6x + 15...divide both sides by -5
(-5/-5)y = (-6/-5)x + (15/-5)...simplify
y = 6/5x - 3

y = mx + b...remember, m is ur slope and b is ur y int
y = (6/5)x + (-3)ur slope(m) = 6/5 and ur y int (b) = -3

Add up all the sides