Question

one of your answers is incorrect.
for each graph, decide if the two lines are parallel, perpendicular, or neither.
graph 1
graph 2
graph 3
graph 4
parallel
perpendicular
neither
parallel
perpendicular
neither
parallel
perpendicular
neither
parallel
perpendicular
neither

Explanation:

• Graph 1: Parallel lines are lines in a plane that do not meet; they are always the same distance apart. In Graph 1, the two lines have the same slope (vertical lines, which can be thought of as having an "infinite" slope in a sense, and they never intersect), so they are parallel.
• Graph 2: Perpendicular lines are lines that intersect at a right (90 - degree) angle. In Graph 2, one line is horizontal (slope \(m_1 = 0\)) and the other is vertical (can be considered as having an undefined slope in the traditional \(y=mx + b\) sense, but geometrically, horizontal and vertical lines intersect at 90 degrees), so they are perpendicular.
• Graph 3: The two lines intersect at an angle that is not 90 degrees, and they are not parallel (they intersect), so they are neither.
• Graph 4: The two lines intersect at an angle that is not 90 degrees, and they are not parallel (they intersect), so they are neither.

Answer:

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