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Formeln: Mathematik - Geometrie - Gerade ⁄

Gerade ⁄

Definitionen:

  • x1: x1-Koordinate
  • x2: x2-Koordinate
  • y1: y1-Koordinate
  • y2: y2-Koordinate
  • m: Steigung
  • b: y-Achsenabschnitt
  • f:
  • y: Gleichung
Layer 1xxyy1122

Steigung

m=y2y1x2x1
m = Steigung
y2 = y2-Koordinate
y1 = y1-Koordinate
x2 = x2-Koordinate
x1 = x1-Koordinate


Layer 1xxyy1122b

Hauptform

y=m×x+b
y = Gleichung
m = Steigung
b = y-Achsenabschnitt

y=y2y1x2x1×x+(y2y2y1x2x1×x2)
y = Gleichung
y1 = y1-Koordinate
y2 = y2-Koordinate
x1 = x1-Koordinate
x2 = x2-Koordinate
y2 = y2-Koordinate
y1 = y1-Koordinate
y2 = y2-Koordinate
x1 = x1-Koordinate
x2 = x2-Koordinate
x2 = x2-Koordinate

y=m×x+(y2m×x2)
y = Gleichung
m = Steigung
y2 = y2-Koordinate
m = Steigung
x2 = x2-Koordinate

y=m×x+(y1m×x1)
y = Gleichung
m = Steigung
y1 = y1-Koordinate
m = Steigung
x1 = x1-Koordinate


Zwei Punkte Form

yy1=y2y1x2x1×(xx1)
f =
y1 = y1-Koordinate
y1 = y1-Koordinate
y2 = y2-Koordinate
x1 = x1-Koordinate
x2 = x2-Koordinate
x1 = x1-Koordinate