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 .

Parallel lines have the same slope. First, put the given equation in  form to find its slope.

Subtract  from both sides of the equation:

The given line has a slope of , so the correct answer will also have a slope of . This means that the correct answer choice is .

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

Line  must have the same slope as line  to be parallel with it, so the slope of line  must be . You can tell that the slope of line  is  because it is in  form, and the value of  is the slope.

First, put the equation in slope-intercept form: y = 3x + 6. From there we can see the slope of this line is 3 and since the slope of any line parallel to another line is the same, the slope will also be 3.

This problem requires an understanding of the makeup of an equation of a line.  This problem gives an equation of a line in y = mx + b form, but we will need to algebraically manipulate the equation to determine its slope.  Once we have determined the slope of the line given we can determine the slope of any line parallel to it, becasue parallel lines have identical slopes.  By dividing both sides of the equation by 5, we are able to obtain an equation for this line that is in a more recognizable y = mx + b form. The equation of the line then becomes y = 6/5x + 12/5, we can see that the slope of this line is 6/5.  

We rearrange the line to express it in slope intercept form.

Any line parallel to this original line will have the same slope.

Parallel lines will have equal slopes. To solve, we simply need to rearrange the given equation into slope-intercept form to find its slope.

The slope of the given line is . Any lines that run parallel to the given line will also have a slope of .

Parallel lines have the same slope. The question requires you to find the slope of the given function. The best way to do this is to put the equation in slope-intercept form (y = mx + b) by solving for y.

First subtract 6x on both sides to get 3y = –6x + 12.

Then divide each term by 3 to get y = –2x + 4.

In the form y = mx + b, m represents the slope. So the coefficient of the x term is the slope, and –2 is the correct answer. 

Any line that is parallel to a line  must have the same slope . Since Line  has a slope , Line  must also have a slope .