How to find out if lines are parallel - SSAT Upper Level Quantitative (Math)

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Question

Which of the following lines is parallel to:

Answer

First write the equation in slope intercept form. Add to both sides to get . Now divide both sides by to get . The slope of this line is , so any line that also has a slope of would be parallel to it. The correct answer is .

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Question

Which pair of linear equations represent parallel lines?

Answer

Parallel lines will always have equal slopes. The slope can be found quickly by observing the equation in slope-intercept form and seeing which number falls in the "m" spot in the linear equation (y=mx+b),

We are looking for an answer choice in which both equations have the same m value. Both lines in the correct answer have a slope of 2, therefore they are parallel.

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Question

Which of the following equations represents a line that is parallel to the line represented by the equation ?

Answer

Lines are parallel when their slopes are the same.

First, we need to place the given equation in the slope-intercept form.

Because the given line has the slope of , the line parallel to it must also have the same slope.

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Question

Which of the following lines is parallel to the line ?

Answer

Lines that are parallel have the same slope, so the correct answer must also have the slope of .

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Question

Which of the following lines is parallel to ?

Answer

Lines that are parallel must have the same slope. Thus, the correct answer must also have a slope of .

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Question

Which of the following lines is parallel to the line ?

Answer

First, put the equation in the more familiar format to see what the slope of the given line is.

Lines that are parallel must have the same slope. Thus, the correct answer must also have a slope of .

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Question

Which of the following lines is parallel with the line ?

Answer

First, put the given equation in the more familiar format to find out the slope of the given line.

Lines that are parallel must share the same slope. Thus, the line that is parallel has a slope of .

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Question

Which of the following lines is parallel to the line ?

Answer

For two lines to be parallel, their slopes must be the same. Thus, the line that is parallel to the given one must also have a slope of .

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Question

Which of the following lines is parallel to the line given by the equation ?

Answer

These two lines must share the same slope of to be parallel. You can identify the slope of a line in form easily, as the slope is the value of . The only answer choice that has a slope of is , so it is the correct answer.

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Question

Which of the following lines is parallel with the line ?

Answer

Parallel lines have the same slope. The slope of a line in slope-intercept form is the value of . So, the slope of the line is . That means that for the two lines to be parallel, the slope of the second line must also be .

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Question

Which of the following lines is parallel to the line ?

Answer

Parallel lines have the same slope. The slope of a line in slope-intercept form is the value of . So, the slope of the line is . That means that for the two lines to be parallel, the slope of the second line must also be .

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Question

Which of the following lines is parallel with the line with equation ?

Answer

Parallel lines have the same slope. The slope of a line in slope-intercept form is the value of . So, the slope of the line is . That means that for the two lines to be parallel, the slope of the second line must also be .

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Question

Which of the following lines is parallel to the line ?

Answer

Parallel lines have the same slope. The slope of a line in slope-intercept form is the value of . So, the slope of the line is . That means that for the two lines to be parallel, the slope of the second line must also be .

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Question

Which of the following lines is parallel to the line with the equation ?

Answer

Parallel lines have the same slope. The slope of a line in slope-intercept form is the value of . So, the slope of the line is . That means that for the two lines to be parallel, the slope of the second line must also be .

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Question

Which of the following equations is parallel to the line with the equation

Answer

Parallel lines have the same slope. The slope of a line in slope-intercept form is the value of . So, the slope of the line is . That means that for the two lines to be parallel, the slope of the second line must also be .

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Question

Which of the following lines is parallel to the line

Answer

Parallel lines have the same slope. Start by putting the given equation in form to figure out its slope:

Subtract from each side of the equation:

Divide each side of the equation by :

The slope of both this line and the one parallel to it must be .

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Question

Which of the following lines is parallel to the line

Answer

Parallel lines have the same slope. Start by putting the given equation in form to figure out its slope.

Divide both sides of the equation by :

Subtract from both sides of the equation:

Divide both sides of the equation by :

The given line has a slope of , so the answer choice equation needs to have a slope of as well.

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Question

Which of the following lines is parallel to the line with the equation

Answer

Parallel lines have the same slope. Start by putting the given equation in form to figure out its slope.

Subtract from each side of the equation:

Divide both sides of the equation by :

The given line has a slope of , so the answer choice equation will need to have a slope of as well to be parallel to the given line.

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Question

Which of the following lines is parallel to the line with the equation ?

Answer

Parallel lines have the same slope. Start by putting the given equation in form to figure out its slope.

Subtract from each side of the equation:

Divide each side of the equation by and reduce:

The given line has a slope of , so the answer choice equation will need to have a slope of as well to be parallel to the given line.

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Question

Which of the following lines is parallel to the line

Answer

Parallel lines have the same slope. Start by putting the given equation in form to figure out its slope.

Subtract from each side of the equation:

Divide each side of the equation by :

Since the presented equation has a slope of , the correct answer choice's equation will also have a slope of . This makes the correct answer .

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