y
The slope intercept formula is one of many different expressions that define a line. The general formula for a line is
ax + by + c = 0
To change the expression to the slope intercept form, you solve for y like this:
ax + by + c = 0
Subtract ax from both sides
by + c = -ax
subtract c from both sides
by = -ax - c
divide both sides by b
y = -(a/b)x - c/b