# GMAT Math : Calculating the slope of parallel lines

## Example Questions

### Example Question #1 : Parallel Lines

What is the slope of the line parallel to ?

Explanation:

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

### Example Question #2 : Parallel Lines

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

Explanation:

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

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

### Example Question #3 : Parallel Lines

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

Explanation:

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 .

### Example Question #41 : Lines

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

Explanation:

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 .

### Example Question #1 : Calculating The Slope Of Parallel Lines

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

Explanation:

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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