Formules

Calculatrice de pente

Saisissez deux points (x₁, y₁) et (x₂, y₂) pour obtenir la pente et l’équation de la droite qui passe par eux.

Résultat

Saisissez les valeurs et appuyez sur Calculer pour voir le résultat.

Formule

m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

Slope is rise over run between the two points.

y=mx+b,b=y1−mx1y = mx + b,\quad b = y_1 - m x_1

The y-intercept b is where the line crosses the y-axis.

Comment utiliser cette calculatrice

  1. Enter the coordinates of two different points.
  2. Press Calculate to see the slope, intercept and equation.

Exemple corrigé

Line through (1, 3) and (3, 7)

m = (7 − 3)/(3 − 1) = 2.

b = 3 − 2·1 = 1, so y = 2x + 1.

Questions fréquentes

What does an undefined slope mean?

The two points have the same x value, so the line is vertical: its equation is x = constant.

Is slope the same as gradient?

Yes — “gradient” is the common term in the UK and Australia.

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