Finding Slope Calculator

Used in the rise/run mode.
Used in the slope + point mode.
Slope (m)
1.000000
Slope, Slope-Intercept and Line Equation
y-intercept (b)
0.000000
x-intercept
-0.000000
Slope-intercept form
y = 1x + 0
Point-slope form
y − 0 = 1(x − 0)
Standard form
x - y = 0
Angle of inclination
45.000000 deg
Angle of inclination
0.78539816 rad
Grade
100.000000 %
Grade as a ratio
1 in 1
Rise (Δy)
1
Run (Δx)
1
Slope of any parallel line
1.000000
Slope of any perpendicular line
-1.000000
Distance between the two points
1.414214
Midpoint x
0.5
Midpoint y
0.5
Direction
increasing (uphill left to right)
Worked out from Weisstein, Eric W. "Slope." MathWorld — m = (y₂ − y₁)/(x₂ − x₁) and 2 other sources.

How this is worked out

7 steps
  1. m = (y₂ − y₁) / (x₂ − x₁) = (1 − 0) / (1 − 0)
  2. m = 1
  3. b = y − m·x = 0 − (1)(0) = 0
  4. Equation: y = 1x + 0
  5. Angle of inclination = arctan(1) = 45°
  6. Grade = m × 100 = 100%
  7. Parallel slope = 1; perpendicular slope = −1/m = -1

Results are general information, not financial, tax, legal, medical or engineering advice.