Parallel lines have identical slopes. Since all of these lines are in the form, you can easily determine their slopes (). The slope of the given line is , so a line that's parallel to it must have the same slope. The only other line with a slope of is .

Parallel lines have identical slopes, so you must figure out which of these lines have the same slope as the given line. To determine the slope of the given line, you can rearrange it to resemble the form.  can be rearranged to . Looking at the rearranged equation, it is clear that the line's slope is . The only other line with a slope of is .

Parallel lines have identical slopes to one another. The slope of the given line is 7, so the slope of the other line must also be 7. The only other equation with a slope of 7 is .

The first equation is written in standard form: . In this format, the slope is equal to .

The second equation is written in slope-intercept form: . The slope is given by the value of .

Because the slopes of both lines are equal, the lines must be parallel.

Parallel lines have the same slope. To find the slope of a given equation, it is necessary to convert it to slope-intercept form.

Subtract the from both sides.

Divide by .

Understanding slope-intercepts form, we can see that the slope is .

We can convert each answer choice to slope-intercept form to detrmine which has a slope matching the equation in the question.

This equation has the same slope, and is therefore parallel.

Two lines can only be parallel if they have identical slopes. In this case, the slope is , which is equal to . The only line that has the same slope is

so that is the correct answer. Take note that the  value does not matter when determining whether two lines are parallel, unless the values are the same, in which case the lines would be identical and not parallel.

We are given

and we compare it to the general formula of a straight line

where  is the slope and is the y-intercept.  In our case, . Know that in order for another function to be parallel, it has to have the same slope.  Therefore, we pick an answer choice that has the slope of . It turns out that the answer choice is

Parallel lines need to have slopes that are equal.  For the line , the slope is 3, since this is the coefficient attached to the x-variable.  For the line , the slope is 4.  Because these slopes are not equal, the lines are not parallel.

For two lines to be parallel, they must have the same slope. So, we are looking for a line with a slope of . However, it's difficult to tell what the slopes of the answer choices are because they are not in slope-intercept form. Luckily, it's easy to convert them.

Take the answer choice . Subtracting  from both sides gives 

which can be simplified to 

This is our answer! To be safe, the other choices can be rewritten in slope-intercept form as well, upon which it becomes clear that none of them are parallel.

Parallel lines have identical slopes. The slope of the given line is 8, so the slope of the parallel line must also be 8. The only other line with a slope of 8 is 

.