re the two lines, 2x - 3 and 2x + 3 parallel or not? Explain how you know.

Answer 1

The two lines, 2x - 3 and 2x + 3, are not parallel.

To determine if two lines are parallel, we need to compare their slopes. The general form of a linear equation is y = mx + b, where m is the slope of the line.

In the given lines, both have a coefficient of 2 in front of the x term, which means they have the same slope. However, the presence of different constant terms (-3 and +3) in the two equations indicates that the lines have different y-intercepts (represented by the term "b" in the general form equation).

Since the lines have the same slope but different y-intercepts, they will never intersect and therefore are not parallel.