Use the gradient m_BE = (1)/(4) from 1.1.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's the solution for 1.2:
1.2 Determine the equation of $BE$ in the form $y = mx + c$.
Step 1: Use the gradient $m_{BE} = \frac{1}{4}$ from 1.1.
Step 2: Substitute the gradient and one of the points on $BE$, for example $E(12; 0)$, into the equation $y = mx + c$.
$$0 = \frac{1}{4}(12) + c$$
$$0 = 3 + c$$
$$c = -3$$
Step 3: Write the equation of the line.
$$y = \frac{1}{4}x - 3$$
The equation of $BE$ is $\boxed{y = \frac{1}{4}x - 3}$.
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