Finding the Equation of a Straight Line

Learn how to find the equation of a straight line, like y=mx+cy = mx + c, using two points. Let’s get started! 🚀

Finding the Equation of a Straight Line - introduction visual

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Flashcards

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Linear equation y = mx + c with m labelled as slope and c as y-intercept, shown on a graph crossing the y-axis.Finding linear equation y = mx + c using two points, and steps to calculate gradient (m) and y-intercept (c) with points (2,3) and (4,7) on a graph.Verifying if points (3, 5) and (-2, -4) lie on the line y = 2x - 1 by substituting coordinates into the equation illustrating right and wrong results.

🛎️ The Straight Line Formula: y = mx + c

  • m is the gradient and tells you how steep the line is.
  • c is the y-intercept and shows where the line crosses the y-axis.

🛎️ Finding a Linear Equation Using Two Points

  • The gradient is found using m = (y₂ − y₁) ÷ (x₂ − x₁).
  • For example, with points (2,3) and (4,7), the gradient is m = (7 − 3) ÷ (4 − 2) = 2.

🛎️ Checking If a Point Lies on a Line

  • Substitute (3,5) into y = 2x − 1 to check if 5 = 2 × 3 − 1.
  • Because 5 = 5, the point lies on the line.

Practice Questions

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Finding the equation of a straight line using 2 points

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