The standard form is Ax + By = C
Given the linear equation, y = x + 10, we must transpose x to the left-hand side of the equation:
- x + y = x — x + 10
- x + y = 10
Next, we must multiply both sides by (-1) because A must be positive:
(-1) (- x + y) = 10 (-1)
This leads to:
x — y = -10 in standard form, Ax + By = C