Work out parallel line equation instantly with clear inputs, formula shown and shareable results.
Parallel lines share the same gradient, so only the intercept changes. Substituting the given point into y = mx + c gives c = y₁ − m·x₁.
Parallel line
same m, new c = y₁ − m·x₁
c = 7 − 6 = 1, so y = 2x + 1.
Not in Euclidean geometry. Equal gradients with different intercepts means no solution to the pair of equations.