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Year 8 maths · F.10 · Intercepts and equations of lines

Write the equation of a line from two points

Find the slope from the two points, then use a point to find b.

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  1. Write the equation of the line through (2, −4) and (4, −16) in the form y = mx + b.

    Answer: y = -6x + 8

  2. Write the equation of the line through (−3, −12) and (1, 0) in the form y = mx + b.

    Answer: y = 3x - 3

  3. Write the equation of the line through (−3, −1) and (−6, −10) in the form y = mx + b.

    Answer: y = 3x + 8

Tip: Find the slope from the two points, then use a point to find b.

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