Lines can be considered to continue on indefinitely. Lines that are parallel to each other will always remain the same distance apart. Due to this they will never cross paths of other another (intersect). Perpendicular lines meet at a right angle and will only intersect once. There are some interesting characteristics associated with parallel and perpendicular lines when we get them slapped down on a coordinate plane. When you look at perpendicular lines they have a slope that are negative reciprocals of each other. The slopes of parallel lines, on the other hand, are exactly equal. In the equation form of a line y = mx +b lines that are parallel will have the same value for m. Perpendicular lines will have an m value that is the negative reciprocal of the other. Therefore, if you know the slope of one of the lines, you can easily calculate the slope of the other line. Knowing these facts, we can easily check if lines are parallel or perpendicular by just compare their values for slope (m). Another thing to keep in mind, being aware of this, vertical lines are parallel and so are horizontal lines. That would also mean that a vertical line is perpendicular to a horizontal line.

The worksheets found here will help you practice identifying parallel and perpendicular algebraic equations, and solving for their slopes. Students will also learn how to format these equations correctly, using the proper symbols. These lessons and worksheets will help your students will learn how to plot the slope of a line and will also learn mathematical concepts with regard to parallel and perpendicular lines. We can also infer the values and attributes of vertical and horizontal lines, if needed.