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Calculate the gradient of the line BE, given points C(4, -2) and E(12, 0).

Mathematics

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Answer

1.1

14\frac{1}{4}

Step-by-step solution

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Part 1.1· 2 steps

Calculate the gradient of BEBE.

  1. Identify two points on line BEBE.

    From the diagram, C(4;−2)C(4; -2) and E(12;0)E(12; 0) are on line BEBE.

  2. Use the gradient formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.

    mBE=0−(−2)12−4=28=14m_{BE} = \frac{0 - (-2)}{12 - 4} = \frac{2}{8} = \frac{1}{4}

    The gradient of BEBE is 14\boxed{\frac{1}{4}}.

Part 1.2

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