Point-Slope Form Calculator
Calculate the equation of a line using point-slope form: y – y₁ = m(x – x₁)
Results:
Point-Slope Form:
y – 3 = 4(x – 2)
Slope-Intercept Form:
y = 4x – 5
Graph Information:
Slope: 4, y-intercept: (0, -5)
When x increases by 1, y increases by 4
When x increases by 1, y increases by 4
How It Works:
The point-slope form of a linear equation is:
y – y₁ = m(x – x₁)
Where (x₁, y₁) is a point on the line and m is the slope.
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
- Simplify to get y = mx + b, where b = -mx₁ + y₁
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