Find the slope of line BC.
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
a) Determine the equation of line BC.
Step 1: Find the slope of line BC.
The coordinates of B are $(1,-2)$ and C are $(-5,4)$.
The slope $m$ is given by the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$.
$$m_{BC} = \frac{4 - (-2)}{-5 - 1} = \frac{4 + 2}{-6} = \frac{6}{-6} = -1$$
Step 2: Use the point-slope form to find the equation of line BC.
Using point B$(1,-2)$ and slope $m_{BC} = -1$:
$$y - y
