Characterization of Parallel Lines – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

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Do you need help? Watch the Video Lesson for this Practice Problem.

After this lesson, you will be able to identify parallel lines and their characteristics.

The lesson begins with two linear equations and their graphs. The example leads to a formal definition of parallel lines, and how that relates to slopes and systems of equations. It concludes by showing how rewriting equations in slope-intercept form can help identify if two lines are parallel.

Learn about parallel lines with Cassandra and Spark in Aerial City!

This video includes key concepts, notation, and vocabulary such as parallel lines (lines are parallel if they have the same slope but different y-intercepts), slope-intercept form (y=mx+b where m is the slope and b is the y-intercept), and system of equations (a set of equations on the same graph, occurring simultaneously).

Before watching this video, you should already be familiar with slopes of lines, slope-intercept form, and graphing equations.

After watching this video, you will be prepared to learn more about the characteristics of lines and systems of equations.

Common Core Standard(s) in focus: 8.EE.B.5, 8.EE.C.8
A video intended for math students in the 8th grade.
Recommended for students who are 13 - 14 years old.

Go to Video Lesson
Exercises in this Practice Problem
Determine if the given pairs of lines are intersecting or parallel.
Visualize the graphs of parallel lines.
Determine if the two equations represent parallel or intersecting lines.
Determine which lines are parallel to each other.
Graph the line corresponding to the equation $y=-\frac34x+3$.
Determine how many solutions each pair of equations has.