Q&A for How to Figure out if Two Lines Are Parallel

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How do I find the area of a parallelogram?

Taylor Klein
Advanced Math Teacher
Taylor Klein is an Advanced Math Teacher based in Philadelphia, Pennsylvania. She has worked in the education field for over 10 years, including eight years as a middle school Advanced Math Teacher. She has a master’s degree in Instructional Technology and Design and a master’s degree in Educational Leadership and Administration.

Taylor Klein

Advanced Math Teacher

Expert Answer

Determining the area of a parallelogram involves employing the formula: Area=base×height. This formula signifies that the area is calculated by multiplying the length of the base by the corresponding height. For a parallelogram, the base and height are typically understood as the sides and the perpendicular distance between those sides, respectively.

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Question

I have a problem that is asking if the 2 given lines are parallel; the 2 lines are x=2, x=7. How do I do this?

Donagan

Top Answerer

The two lines are each vertical. That is, they're both perpendicular to the x-axis and parallel to the y-axis. Any two lines that are each parallel to a third line are parallel to each other.

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What if the lines are in 3-dimensional space?

Donagan

Top Answerer

Parallel lines always exist in a single, two-dimensional plane. Two straight lines that do not share a plane are "askew" or skewed, meaning they are not parallel or perpendicular and do not intersect.

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Question

How do I know if lines are parallel when I am given two equations?

Community Answer

You would have to find the slope of each line. If the two slopes are equal, the lines are parallel. The slopes are equal if the relationship between x and y in one equation is the same as the relationship between x and y in the other equation. In other words, if you can express both equations in the form y = mx + b, then if the m in one equation is the same number as the m in the other equation, the two slopes are equal.

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Is the line joining 8,3 and 2,1and line joining 6,0 and 11,-1, parallel,or concurrent?

Community Answer

Neither. They can't be congruent, because they don't share the same end-points. They can't be parallel, because they don't have the same slope (since the difference between the first line's x-coordinates is not equal to the difference between the second line's x-coordinates, and the same is true of the lines' y-coordinates).

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