In Graph 1, the slopes are the same, but the \(y\)-intercepts are different. Parallel lines will never intersect and are denoted by having the same slope.
In Graph 2, the \(y\)-intercepts are different, and the slopes are different. One line has a positive slope and the other line has a negative slope. The slope of the red line is \(-\Large\frac{1}{2}\) and the slope of the blue line is \(2\), which are negative reciprocals. Perpendicular lines are denoted by slopes that are negative reciprocals of each other.
Return to Making Connections (Parallel and Perpendicular Lines).
