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Use the gradient m_BE = (1)/(4) from 1.1.

Mathematics

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Answer

y=14x−3y = \frac{1}{4}x - 3

Step-by-step solution

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Here's the solution for 1.2:

1.2 Determine the equation of BEBE in the form y=mx+cy = mx + c.

  1. Use the gradient mBE=14m_{BE} = \frac{1}{4} from 1.1.

  2. Substitute the gradient and one of the points on BEBE, for example E(12;0)E(12; 0), into the equation y=mx+cy = mx + c.

    0=14(12)+c0 = \frac{1}{4}(12) + c 0=3+c0 = 3 + c c=−3c = -3

  3. Write the equation of the line.

    y=14x−3y = \frac{1}{4}x - 3

    The equation of BEBE is y=14x−3\boxed{y = \frac{1}{4}x - 3}.

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