Question

verifying parallel and perpendicular lines using slope. use the diagram to answer the questions. is line m parallel to line n? explain. no, the slopes are not equal. is line m perpendicular to line k? explain. yes, the slopes are equal. yes, the slopes are negative reciprocals. no, the slopes are not equal. no, the slopes are not negative reciprocals.

Explanation:

Step1: Recall slope - parallel and perpendicular rules

Two lines are parallel if their slopes are equal. Two lines are perpendicular if their slopes are negative reciprocals of each other.

Step2: Analyze line \(m\) and line \(k\)

We need to check if the slopes of line \(m\) and line \(k\) are negative reciprocals. Since they are not negative reciprocals, line \(m\) is not perpendicular to line \(k\).

Answer:

No, the slopes are not negative reciprocals.