Point-Slope Form Calculator
Write a line equation from a point and slope.
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Request a ToolHow to Use the Point-Slope Form Calculator
This tool writes the equation of a line in point-slope form given a slope and a point on the line.
- Enter the slope. Provide the slope m of the line.
- Enter a point. Provide the x1 and y1 coordinates of a point on the line.
- View the equation. Both point-slope and slope-intercept forms are displayed.
About Point-Slope Form
Point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a known point on the line. It can be rearranged to slope-intercept form y = mx + b by distributing and solving for y. The y-intercept is b = y1 - m * x1. Point-slope form is often the fastest way to write a line equation when you know a point and the slope, making it a staple of algebra and analytic geometry.
Frequently Asked 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.
How do I convert point-slope to slope-intercept form?
Distribute the slope: y - y1 = mx - mx1. Then add y1 to both sides: y = mx + (y1 - mx1). The y-intercept is b = y1 - mx1.
When should I use point-slope form vs. slope-intercept form?
Use point-slope when you know a point and the slope. Use slope-intercept when you know the slope and y-intercept directly.