Ax + By = C to Y = mx + b
Standard form to Slope Intercept form
SF to SIF
Let us say A = 4, B =7, and C = 9.
4x + 7y = 9
Place the term with the "x" or the literal coefficient "x" in the right hand side of the equation.
4x - 4x + 7y = 9 - 4x
7y = 9 - 4x
Divide both sides by 7.
7y/7 = 9/7 - 4x
y = 9/7 - 4x
You can make it exactly to y = mx + b or SIF by switching some terms in the right hand side.
y = -4x + 9/7 (or y = -4x + 1.28 when 9/7 is in decimal form)