Parallel lines have what type of slopes?

Parallel lines have what type of slopes?

• A. EQUAL
• B. OPPOSITE
• C. INVERTED
• D. DIFFERENT

Answer: (A)

Parallel lines have the same steepness, so their slopes are equal. The slope is the ratio of vertical change to horizontal change (rise over run), and when two lines share the same slope, they rise and run at the same rate. If they also have different intercepts, they stay a fixed distance apart and never intersect, which is what makes them parallel. A vertical pair is a special case where the slope is undefined, but both lines still share the same type of slope, so they’re parallel as well. Choices like opposite, inverted, or different slopes would lead to lines that intersect or don't align in the same way, so they don’t describe parallel lines.

Parallel lines have the same steepness, so their slopes are equal. The slope is the ratio of vertical change to horizontal change (rise over run), and when two lines share the same slope, they rise and run at the same rate. If they also have different intercepts, they stay a fixed distance apart and never intersect, which is what makes them parallel. A vertical pair is a special case where the slope is undefined, but both lines still share the same type of slope, so they’re parallel as well. Choices like opposite, inverted, or different slopes would lead to lines that intersect or don't align in the same way, so they don’t describe parallel lines.