Point-Slope Form Calculator

Convert between point-slope form and slope-intercept form instantly.

What is Point-Slope Form?

Point-slope form is a way to write the equation of a line when you know: - The slope (m) - One point on the line (x₁, y₁)

Point-Slope Form: y - y₁ = m(x - x₁)

How to Use Point-Slope Form

1. Identify your slope (m) and point (x₁, y₁)
2. Substitute into the formula: y - y₁ = m(x - x₁)
3. Simplify if needed, or convert to slope-intercept form

Converting to Slope-Intercept Form

To convert y - y₁ = m(x - x₁) to y = mx + b:

1. Distribute m: y - y₁ = mx - mx₁
2. Add y₁: y = mx - mx₁ + y₁
3. Simplify: y = mx + b (where b = y₁ - mx₁)

Common Questions

What is point-slope form?

Point-slope form is y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line. It's useful when you know the slope and one point.

How do you convert point-slope to slope-intercept form?

To convert, expand the equation by distributing m, then solve for y by adding y₁ to both sides to get y = mx + b form.