To provide the equations for Runway B and Runway C, we first need to determine the slope of Runway A. Since the details about Runway A's coordinates are not provided, let’s assume the equation of Runway A is in the slope-intercept form, \(y = mx + b\), where \(m\) is the slope.
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Runway B (parallel to Runway A):
- Since Runway B is parallel to Runway A, it will have the same slope as Runway A. The equation can be written in the slope-intercept form, where the y-intercept will be different, and it will still pass through the point (0, -4).
- Given a slope \(m\), the equation of Runway B can be expressed as: \[ y = mx - 4 \]
- You could also express it in point-slope form as: \[ y + 4 = m(x - 0) \quad \text{or} \quad y + 4 = mx \]
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Runway C (perpendicular to Runway A):
- The slope of a line that is perpendicular to another line is the negative reciprocal of the original line's slope. Therefore, if the slope of Runway A is \(m\), the slope of Runway C would be \(-\frac{1}{m}\).
- Like Runway B, Runway C should also pass through the point (0, -4). Therefore, its equation can be expressed in slope-intercept form: \[ y = -\frac{1}{m}x - 4 \]
- In point-slope form, it can be expressed as: \[ y + 4 = -\frac{1}{m}(x - 0) \quad \text{or} \quad y + 4 = -\frac{1}{m}x \]
Without the explicit slope from Runway A, we cannot provide exact numeric equations, but the general forms for Runway B and Runway C are outlined above based on the slope \(m\) of Runway A.
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