Work out standard form of a line instantly with clear inputs, formula shown and shareable results.
Standard form Ax + By = C avoids fractions and handles vertical lines, which slope-intercept form cannot. Starting from y = mx + c, rearranging gives −mx + y = c, then multiplying through clears any fractions.
Standard form
y = mx + c ⇒ −mx + y = c ⇒ Ax + By = C
−3x + 4y = 12, or equivalently 3x − 4y = −12.
It represents vertical lines such as x = 5 and keeps all coefficients as whole numbers, which suits solving systems.