Slope Calculator
Slope calculator
Find slope from points, rise/run, point-slope, or standard form.
Slope
m = 2
Rise Δy = 8 and run Δx = 4; m = Δy / Δx.
Live
y = mx + b
Positive: rises left to right
Inputs accept integers, decimals, fractions such as -3/4, and mixed numbers such as 1 1/2.
Live line graph
Points and rise/run update as you type.
Direction
Positive: rises left to right
Angle
63.43494882°
Slope fraction
2
x-intercept
0
y-intercept
0
Line equation
y = 2x
y - 2 = 2(x - 1)
Advanced reviewequations, slope forms, and intercept notes
Primary form: y = 2x
Equivalent form: y - 2 = 2(x - 1)
Slope fraction m = 2 and angle 63.43494882°.
Formula
m = (y2 - y1) / (x2 - x1) Symbol legend
| Symbol | Meaning | Unit | Copy |
|---|---|---|---|
m | Slope of the line | unit y per unit x | |
x_1, y_1 | First point coordinates | (x, y) | |
x_2, y_2 | Second point coordinates | (x, y) |
- Subtract y-values to get rise.
- Subtract x-values to get run.
- Divide rise by run to get slope m; a zero run identifies a vertical line with undefined slope.
Example
Worked example: points (1, 2) and (5, 10)
- 1 Rise = 10 - 2 = 8
- 2 Run = 5 - 1 = 4
- 3 m = 8 / 4 = 2
The slope is 2.
How
- Choose Two points, Rise/run, Point + slope, or Standard form.
- Enter the known coordinates or coefficients; integers, decimals, fractions, mixed numbers, and negative values are supported.
- Read the slope, fraction, angle, intercepts, equation, and live graph, then copy the result if needed.
Avoid
- Reversing point order in only one subtraction, which changes sign incorrectly.
- Treating a zero run as zero slope; it actually represents an undefined vertical slope.
- Mixing units between x and y without interpretation.
FAQ
What does a negative slope mean?
A negative slope means the line decreases as x increases.
Why is slope undefined when x1 equals x2?
The denominator becomes zero, which represents a vertical line. The calculator reports its x = constant equation instead of inventing a finite slope.
Can I use decimal coordinates?
Yes. Decimal, negative, fraction, and mixed-number inputs are supported.
Can I calculate slope from standard or point-slope form?
Yes. The visible mode selector supports two points, rise/run, point-slope, and Ax + By + C = 0.
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