AI Math SolverPoint-slope form — y − y₁ = m(x − x₁) — writes a line from a single point and the slope. Learn the formula, when to use it, and how to convert it to slope-intercept form.
Solve it with the AI Math SolverIf you know a line's slope and any point on it, point-slope form gives you the equation immediately — no need to solve for the intercept first. It is ideal when a point and slope are what you start with.
The form y − y₁ = m(x − x₁) directly encodes the definition of slope: the change in y over the change in x, between (x₁, y₁) and any other point (x, y), equals m.
Point-slope form is y − y₁ = m(x − x₁), where m is the slope and (x₁, y₁) is a point the line passes through. It is the fastest way to write a line when you know one point and the slope.
Distribute m, then add y₁ to both sides to isolate y. That converts y − y₁ = m(x − x₁) into y = mx + b, the slope-intercept form.