Point-Slope Form Calculator
Find line equations using point-slope form: y - y₁ = m(x - x₁)
Point (x₁, y₁)
Slope
Point-Slope Form
Slope-Intercept Form
Standard Form
Graph
Step-by-Step Solution
Point-Slope Form
Point-slope form is ideal when you know a point on the line and its slope:
y - y₁ = m(x - x₁)
Where:
- (x₁, y₁) is a known point on the line
- m is the slope of the line
When to Use It
- You know one point and the slope
- Converting to other forms
- Finding equations of parallel or perpendicular lines
- Writing quick equations without finding the y-intercept
Frequently Asked Questions
What is point-slope form?
Point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.
When should I use point-slope form?
Use it when you know a point on the line and the slope, but don't know the y-intercept yet.
How do I convert to slope-intercept form?
Expand and solve for y. Distribute m, then add y₁ to both sides.
Can I use any point on the line?
Yes! Any point on the line will work and give you an equivalent equation.
What if I have two points instead?
First calculate the slope using m = (y₂-y₁)/(x₂-x₁), then use either point in point-slope form.
Is point-slope form standard?
It's one of the three standard forms, along with slope-intercept and standard form.