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Calculate the gradient m using the formula m = (y2 − y1)/(x2 - x1).

Mathematics

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Step-by-step solution

2 steps

1. (i) Find the equation of the straight line joining the points $(2, 5)$ and $(1, 3)$.

  1. Calculate the gradient mm using the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.

    Let (x1,y1)=(2,5)(x_1, y_1) = (2, 5) and (x2,y2)=(1,3)(x_2, y_2) = (1, 3).

    m=3−51−2=−2−1=2m = \frac{3 - 5}{1 - 2} = \frac{-2}{-1} = 2

  2. Use the point-slope form y−y1=m(x−x1)y - y_1 = m(x - x_1) with one of the points, e.

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