How to find out if lines are parallel - High School Math

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Question

Which of the following lines is parallel to the line ?

Answer

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 is incorrect. If put into form, the equation becomes . Therefore the slope is actually , not .

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Question

Which of the following lines is parallel to ?

Answer

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

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Question

Which of these lines is parallel to ?

Answer

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

For our given equation, the slope is . Only has the same slope.

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Question

Which of these lines is parallel to ?

Answer

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

For our given equation, the slope is . Only has the same slope.

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Question

Which of the following lines will be parallel to ?

Answer

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

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

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Question

Are the following lines parallel?

Answer

By definition, two lines are parallel if they have the same slope. Notice that since we are given the lines in the format, 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.

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