Question

try again
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
parallel
parallel
parallel
perpendicular
perpendicular
perpendicular
perpendicular
neither
neither
neither
neither

Explanation:

Step1: Analyze Graph 1

Two lines with the same slope (same direction, never intersect) are parallel. Graph 1's lines have the same slope, so they should be parallel, not "Neither".

Step2: Analyze Graph 2

A horizontal and vertical line intersect at 90°, so they are perpendicular (correct as marked).

Step3: Analyze Graph 3

One line is horizontal (slope 0), the other has a negative slope. They aren't parallel (different slopes) or perpendicular (product of slopes not -1), so "Neither" is correct.

Step4: Analyze Graph 4

The two lines intersect at 90°? Wait, no—wait, let's check slopes. If one has positive slope, the other negative, but do they form right angles? Wait, no—wait, actually, in Graph 4, are they perpendicular? Wait, no, maybe Graph 1 was wrong. Wait, Graph 1: two lines with same direction, so parallel. So correct Graph 1 as Parallel, Graph 4: let's see, if one line has slope 1, the other -1, product is -1, so perpendicular (correct as marked). Wait, so the error was Graph 1: should be Parallel, not Neither.

Answer:

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