Point-Slope Form Calculator
Enter a point and a slope below to instantly get the equation of the line.
Point-Slope Form
y − 5 = 3(x − 2)
Slope-intercept form: y = 3x − 1
Point-Slope Form
y − y₁ = m(x − x₁). Plug in the known point and slope directly — no solving required.
Worked example
Point (2, 5), slope 3.
Point-slope form: y − 5 = 3(x − 2)
Slope-intercept form: y − 5 = 3x − 6 → y = 3x − 1
Frequently Asked Questions
What is point-slope form?
Point-slope form writes a line's equation as y − y₁ = m(x − x₁), using one known point (x₁, y₁) and the slope m.
When is point-slope form more useful than slope-intercept form?
When you're given a point and a slope directly, point-slope form takes them with no extra algebra. You'd need an additional step to convert to slope-intercept form.
How do you convert point-slope form to slope-intercept form?
Distribute the slope and solve for y: y − y₁ = m(x − x₁) becomes y = mx − mx₁ + y₁, which simplifies to y = mx + b where b = y₁ − mx₁.
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