Equation of a Line Through Two Points

Easyanalytic geometrylines
A line passes through (2, 3) and (6, 11). What is its equation?
  1. Ay = x + 1
  2. By = 2x − 1
  3. Cy = 2x + 1
  4. Dy = 3x − 3
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Answer: B. y = 2x − 1

The slope is m = (11 − 3)/(6 − 2) = 2. Substitute (2, 3) into y = 2x + b: b = 3 − 4 = −1. Thus y = 2x − 1.
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