Slope Calculator
Calculate slope, distance, angle, and visualize line equations
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Two Points Known
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One Point and Slope Known
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Visualization
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About Slope Calculation
What is Slope?
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m.
m = (y₂ - y₁) / (x₂ - x₁) = tan(θ)
Where θ is the angle of incline.
Slope Interpretation
- A line is increasing, and goes upwards from left to right when m > 0
- A line is decreasing, and goes downwards from left to right when m < 0
- A line has a constant slope, and is horizontal when m = 0
- A vertical line has an undefined slope
Distance Formula
The distance between two points (x₁, y₁) and (x₂, y₂) is calculated using the Pythagorean theorem:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Example: For points (3, 4) and (6, 8):
d = √[(6 - 3)² + (8 - 4)²] = √[9 + 16] = √25 = 5