High School Math : Parallel Lines

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #1 :Parallel Lines

Which of these lines is parallel to?

Possible Answers:

Correct answer:

Explanation:

Lines are parallel if they have the same slope. In standardform,is the slope.

For our given equation, the slope is. Onlyhas the same slope.

Example Question #2 :Parallel Lines

Which of the following lines is parallel to?

Possible Answers:

Correct answer:

Explanation:

Two lines that are parallel have the same slope. The slope ofis, so we want another line with a slope of. The only other line with a slope ofis.

Example Question #44 :Coordinate Geometry

Which of these lines is parallel to?

Possible Answers:

Correct answer:

Explanation:

Lines are parallel if they have the same slope. In standardform,is the slope.

For our given equation, the slope is. Onlyhas the same slope.

Example Question #4 :How To Find Out If Lines Are Parallel

Which of the following lines will be parallel to?

Possible Answers:

Correct answer:

Explanation:

Two lines are parallel if they have the same slope. When a line is in standardform, theis the slope.

For the given line, the slope will be. Only one other line has a slope of:

Example Question #3 :Parallel Lines

Are the following lines parallel?

Possible Answers:

No

Yes

It cannot be determined from the information given

Correct answer:

No

Explanation:

By definition, two lines are parallel if they have the same slope. Notice that since we are given the lines in theformat, and our slope is given by, it is clear that the slopes are not the same in this case, and thus the lines are not parallel.

Example Question #6 :How To Find Out If Lines Are Parallel

Which of the following lines is parallel to the line?

Possible Answers:

Correct answer:

Explanation:

Parallel lines have the same slope. In slope-intercept form,,is the slope.

Here the slope is; thus, any line that is parallel to the line in question will also have a slope of.

Only one answer choice satisfies this requirement:

Note: the answer choice是不正确的。如果把我ntoform, the equation becomes. Therefore the slope is actually, not.

Example Question #1 :How To Find The Slope Of Parallel Lines

Which of the following lines would be parallel to the line described by the equation?

Possible Answers:

Correct answer:

Explanation:

The way to determine parallel lines is to look at the slope. That means when you look at the equation in slope-intercept form,, you're looking at the.

In the given problem, the slope is. Parallel lines will have identical slopes; thus, any line that is parallel to the line described by the equation would ALSO have a slope of. Only one answer choice satisfies that requirement:

.

Example Question #1 :How To Find The Slope Of Parallel Lines

Which of the following lines would be parallel to?

Possible Answers:

Correct answer:

Explanation:

Two lines are parallel if they have the same slope. When looking at the standard line equation, the important thing is that the's are the same. In this case, the given equation has a slope of. Only one answer choice also has a slope of.

Example Question #2 :How To Find The Slope Of Parallel Lines

What is the slope of the line that runs through pointsand?

Possible Answers:

Correct answer:

Explanation:

Use the slope formula (difference between's over difference between's) to find that the slope is.

Example Question #2 :How To Find The Slope Of Parallel Lines

A line that is parallel towill have what slope?

Possible Answers:

Correct answer:

Explanation:

Two lines that are parallel have the same slope. The line given above is in slope-intercept form,, whererepresents the slope. Thus, the slope is. Therefore, any line that is parallel to this line will also have a slope of

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