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Add the known points of a line, and this online tool will calculate the slope for you.
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Use this Slope Calculator to find the slope (m) or gradient between two points A(x₁, y₁) and B(x₂, y₂) on the Cartesian plane. You can also calculate:
The slope or gradient of a line is a number that describes both the direction and steepness of the line. It is commonly denoted by m and is often referred to as “rise over run.”
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Calculate the slope using the formula:
m = (y₂ - y₁) / (x₂ - x₁) = tan(θ)
Where:
There are four types of slopes based on the relationship between x and y:
| Positive | Negative | Zero | Undefined |
|---|---|---|---|
| Line rises from left to right | Line falls from left to right | Horizontal line (zero rise) | Vertical line (undefined slope) |
Use the formula:
m = (y₂ - y₁) / (x₂ - x₁)
You can also use the line equation forms for quick calculations:
Find the slope, distance, and angle of inclination for points (2, 1) and (4, 7).
Solution:
Slope:
m = (7 - 1) / (4 - 2) = 6 / 2 = 3
Distance Between Points:
d = √((4 - 2)² + (7 - 1)²) = √(4 + 36) = √40
Angle of Inclination:
tan(θ) = (y₂ - y₁) / (x₂ - x₁) = 6 / 2 = 3
θ = arctan(3) ≈ 71.56°
Use the tangent of the angle: m = tan(θ)
This Slope Calculator helps students and professionals quickly determine the slope, distance, and angle between two points, making calculations faster and more accurate.
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