Point Slope Form Calculator

Used in the slope + point mode.
Slope (m)
2.000000
Slope, Slope-Intercept and Line Equation
y-intercept (b)
1.000000
x-intercept
-0.500000
Slope-intercept form
y = 2x + 1
Point-slope form
y − 3 = 2(x − 1)
Standard form
2x - y = -1
Angle of inclination
63.434949 deg
Angle of inclination
1.10714872 rad
Grade
200.000000 %
Grade as a ratio
1 in 0.5
Rise (Δy)
2
Run (Δx)
1
Slope of any parallel line
2.000000
Slope of any perpendicular line
-0.500000
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

6 steps
  1. m = 2
  2. b = y − m·x = 3 − (2)(1) = 1
  3. Equation: y = 2x + 1
  4. Angle of inclination = arctan(2) = 63.43494882°
  5. Grade = m × 100 = 200%
  6. Parallel slope = 2; perpendicular slope = −1/m = -0.5

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