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NECO 2024 · Paper 1 · Q47

Find the equation of a line with gradient −14-\frac14 passing through the point (3,2)(3, 2).

Worked solution (try it first)
  1. Use y−y1=m(x−x1)y - y_1 = m(x - x_1) with (3,2)(3, 2): y−2=−14(x−3)y - 2 = -\frac14(x - 3).
  2. Multiply both sides by 4: 4y−8=−x+34y - 8 = -x + 3.
  3. Collect terms: 4y+x=114y + x = 11, option D.

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