AQA · Mathematics · 8300

GCSE Maths: Linear graphs: midpoint of a line

Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Linear graphs: midpoint of a line (Corbettmaths Video 198), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.

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  1. What is the formula for finding the x-coordinate of the midpoint between two points (x₁, y₁) and (x₂, y₂)?

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    (x₁ + x₂) / 2

  2. What is the formula for finding the y-coordinate of the midpoint between two points (x₁, y₁) and (x₂, y₂)?

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    (y₁ + y₂) / 2

  3. What is the midpoint of the line segment joining (2, 4) and (6, 10)?

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    (4, 7). Calculate using ((2+6)/2, (4+10)/2) = (8/2, 14/2) = (4, 7).

  4. What is the midpoint of the line segment joining (−5, 2) and (5, −4)?

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    (0, −1). Calculate using ((−5+5)/2, (2+(−4))/2) = (0/2, −2/2) = (0, −1).

  5. If M is the midpoint of line PQ, and you know the coordinates of P and M, how can you find the coordinates of Q?

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    Use Q = (2M_x − P_x, 2M_y − P_y). Rearrange the midpoint formula: if M = ((P+Q)/2), then Q = 2M − P.

  6. What is the midpoint of the line segment joining C(5, 14) and D(11, 4)?

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    (8, 9). Calculate using ((5+11)/2, (14+4)/2) = (16/2, 18/2) = (8, 9).

  7. The midpoint formula calculates the ? of the x-coordinates and the average of the y-coordinates.

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    average

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