Calculating the slope of parallel lines - GMAT Quantitative Reasoning

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Question

What is the slope of the line parallel to ?

Answer

Parallel lines have the same slope. Therefore, rewrite the equation in slope intercept form :

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Question

Find the slope of any line parallel to the following function.

Answer

We need to rearrange this equation to get into form.

Begin by adding 6 to both sides to get

Next, divide both sides by 4 to get our slope

$y= \frac{3}{4}x+\frac{18}{4}$

So our slope, m, is equal to 3/4. Therefore, any line with the slope 3/4 will be parallel to the original function.

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Question

A given line is defined by the equation $y=\frac{1}{3}x+9$ . What is the slope of any line parallel to this line?

Answer

Any line that is parallel to a line has a slope that is equal to the slope . Given $y=\frac{1}{3}x+9$ , $m=\frac{1}{3}$ and therefore any line parallel to the given line must have a slope of $\frac{1}{3}$ .

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Question

A given line is defined by the equation . What is the slope of any line parallel to this line?

Answer

Any line that is parallel to a line has a slope that is equal to the slope . Given , and therefore any line parallel to the given line must have a slope of .

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Question

A given line is defined by the equation $y=\frac{4}{3}x+12$ . What is the slope of any line parallel to this line?

Answer

Any line that is parallel to a line has a slope that is equal to the slope . Given $y=\frac{4}{3}x+12$ , $m=\frac{4}{3}$ and therefore any line parallel to the given line must have a slope of $\frac{4}{3}$ .

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