Question

for each graph, decide if the two lines are parallel, perpendicular, or neither. graph 1 graph 2 graph 3 graph 4

Explanation:

• Graph 1: Parallel lines are lines in a plane that do not intersect. In Graph 1, the two lines have the same direction and will never meet, so they are parallel.
• Graph 2: Perpendicular lines intersect at a right - angle (\(90^{\circ}\)). In Graph 2, the two lines cross each other at a \(90^{\circ}\) angle, so they are perpendicular.
• Graph 3: Parallel lines have the same slope. Perpendicular lines have slopes that are negative reciprocals (\(m_1\times m_2=- 1\)). The lines in Graph 3 intersect but not at a right - angle and are not parallel, so they are neither.
• Graph 4: The lines in Graph 4 intersect but not at a right - angle and are not parallel, so they are neither.

Answer:

Graph 1: Parallel
Graph 2: Perpendicular
Graph 3: Neither
Graph 4: Neither