Point Slope Form Calculator
Convert between point-slope form and other forms of linear equations.
Select Input Form
Line Equations
Point-Slope Form:
y - 0 = 0(x - 0)
Slope-Intercept Form:
y = 0x + 0
Standard Form:
0x + 0y = 0
Graph
How it works
The point-slope form of a line is:
y - y₁ = m(x - x₁)
Where:
- (x₁, y₁) is a point on the line
- m is the slope of the line
To convert to slope-intercept form (y = mx + b):
- Distribute the slope: y - y₁ = mx - mx₁
- Add y₁ to both sides: y = mx - mx₁ + y₁
- Combine terms: y = mx + (y₁ - mx₁)
To convert to standard form (Ax + By = C):
- Move all terms to one side: mx - y + (y₁ - mx₁) = 0
- Multiply by -1 if needed to make A positive