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. 

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 .

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:

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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 .

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

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

For one equation to be parallel to another, the only requirement is that they must have the same slope. In order to figure out which answer choice is parallel to the given equation, you must first find the slope of the equation:

From the simplified equation, you can see that the slope is .

The answer choice that has the same slope is .

The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the  variable. 

The slope in the given equation is 4, so a parallel line would also have a slope of 4. The only answer with this slope is 

The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the  variable. 

The slope in the given equation is , so a parallel line would also have a slope of . The only answer with this slope is 

The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the  variable. 

The slope in the given equation is 3, so a parallel line would also have a slope of 3. The only answer with this slope is