Question

1. what are the slopes of parallel & perpendicular lines? parallel lines have __________ slopes. perpendicular lines have __________ slopes.

Explanation:

For parallel lines, in the context of linear equations and coordinate geometry, two non - vertical parallel lines have the same slope. This is because they rise (or fall) at the same rate, so their steepness is identical. For perpendicular lines (where neither line is vertical or horizontal), if the slope of one line is $m_1$ and the slope of the other is $m_2$, then $m_1\times m_2=- 1$, which means their slopes are negative reciprocals of each other. For example, if one line has a slope of 2, a line perpendicular to it will have a slope of $-\frac{1}{2}$.

Answer:

Parallel lines have equal slopes.
Perpendicular lines have negative reciprocal slopes (or slopes whose product is - 1).