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Formulary: Maths - Geometry - Straight Line ⁄

Straight Line ⁄

Definitions:

  • x1: x1-coordinate
  • x2: x2-coordinate
  • y1: y1-coordinate
  • y2: y2-coordinate
  • m: Slope
  • b: y-intercept
  • f:
  • y: Equation
Layer 1xxyy1122

Slope Formula

m=y2−y1x2−x1
m = Slope
y2 = y2-coordinate
y1 = y1-coordinate
x2 = x2-coordinate
x1 = x1-coordinate

Layer 1xxyy1122b

Main Form

y=m×x+b
y = Equation
m = Slope
b = y-intercept

y=y2−y1x2−x1×x+(y2−y2−y1x2−x1×x2)
y = Equation
y1 = y1-coordinate
y2 = y2-coordinate
x1 = x1-coordinate
x2 = x2-coordinate
y2 = y2-coordinate
y1 = y1-coordinate
y2 = y2-coordinate
x1 = x1-coordinate
x2 = x2-coordinate
x2 = x2-coordinate

y=m×x+(y2−m×x2)
y = Equation
m = Slope
y2 = y2-coordinate
m = Slope
x2 = x2-coordinate

y=m×x+(y1−m×x1)
y = Equation
m = Slope
y1 = y1-coordinate
m = Slope
x1 = x1-coordinate

Point Slope Form

y−y1=y2−y1x2−x1×(x−x1)
f =
y1 = y1-coordinate
y1 = y1-coordinate
y2 = y2-coordinate
x1 = x1-coordinate
x2 = x2-coordinate
x1 = x1-coordinate