Parallel and Perpendicular 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. Parallel and Perpendicular Lines

Just to refresh your memory, parallel lines are lines that are the same distance apart, and perpendicular lines are lines that intersect at a right angle - which is the same as a 90 degree angle.

So we know what these lines look like on a graph, but how can we recognize equations of lines that are parallel or perpendicular? There is an easy answer for this question of parallel lines. The equations of parallel lines have slopes that are the same i.e. when written in slope-intercept form, the m-values of the lines will be the same.

How can we recognize equations of lines that are perpendicular? The answer to this question is not quite as easy as for parallel lines, so pay attention! The product of the slopes of perpendicular lines is equal to -1, meaning when the lines are written in slope-intercept form, the product of the m-values will be equal to -1.

So, just by looking at the equations, without plotting points on a graph and drawing a line, you can determine if the slopes are parallel or perpendicular? You sure can! To learn more about the slopes of parallel and perpendicular lines and see some awesome examples, tune in to this video.

Write equations of the line.

CCSS.MATH.CONTENT.HSG.GPE.B.5

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Exercises in this Practice Problem
Describe the effect of the potions.
Determine the Dark Count's starting height without his Sunday hat.
Examine which line corresponding to the equation is parallel or perpendicular to the given line.
Determine the equation of a line that is perpendicular to the graph of the given equation.
Decide if each line is parallel or perpendicular to the red line.
Write equations to describe the new streets.