How to find slope and y intercept from the equation ax+by=c?

solve for "y" so it is in the form y = mx + b. "m" is the slope and "b" is the y-intercept.

ax + by = c

by = - ax + c subtracted "ax" from both sides

y = (-a/b) x + c/b divided both sides by "b"

Answer: slope is - a/b and y-intercept is c/b