Lesson eLearning

Find the equation of the straight line passing through the points A(1,4) and B(5,8).

easy 1 mark Class 9 · Mathematics · Coordinate Geometry
Answer
y = x + 3

The correct answer is y = x + 3 — Simplify to obtain y = x + 3.

Step-by-step solution

  1. Compute the slope m = (y2−y1)/(x2−x1) = (8−4)/(5−1) = 4/4 = 1.
  2. Use point–slope form with point A(1,4): y−4 = 1·(x−1).
  3. Simplify to obtain y = x + 3.
Common mistake: Incorrect calculation of slope or using wrong point.

Concept tested: Slope and line equation.

Published · How this solution was prepared and checked

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