When finding a line that is parallel to another line, we know that the slopes must be the same.  So in the equation,

we know it has a slope of 2.  We also know the parallel line contains the point

(-1, 5)

So, we will substitute the slope as well as the point into the y-intercept formula:

Doing this, we will find b, or the y-intercept, and we can determine the line that is parallel.

Now, we know the slope of the parallel line is still 2, and now we know the y-intercept is 7.  Knowing this, we get the line

.

Therefore,  is parallel to .

In order to determine the equation, we will need to find the slope of the line connected by the two given points.

Use the slope formula to determine the slope.

Substitute the points.

Our equation parallel this line connected by the two points must have a slope of negative one-half.

The only answer that has that slope is:  

When finding the slope of a parallel line, we need to ensure we have  form.   stands for slope. Our  is  which is also the slope of the parallel line. Since we are looking for an equation, we need to reuse the  form to solve for  . We do this by plugging in our coordinates. 

 Subtract  on both sides.

Our equation is .

When finding the slope of a parallel line, we need to ensure we have  form. By subtracting  on both sides and dividing  on both sides, we get 

. 

 stands for slope. Our  is  or  which is also the slope of the parallel line. Since we are looking for an equation, we need to reuse the  form to solve for  . We do this by plugging in our coordinates. 

Subtract  on both sides.

Our equation is 

.

When finding the slope of a parallel line, we need to ensure we have  form. By  dividing  on both sides, we get 

. 

 stands for slope. Our  is  or  which is also the slope of the parallel line. Since we are looking for an equation, we need to reuse the  form to solve for  . We do this by plugging in our coordinates. 

Add  on both sides.

Our equation is 

.

Parallel lines have the same slope and the only equation that has the same slope as the given equation is 

In order for the lines to be parallel, both lines must have similar slope.

The current linear equation is in standard form.  Rewrite this equation in slope intercept form, .

The slope is represented by the  in the equation.

Subtract  on both sides.

Simplify the left side and rearrange the right side.

Divide by nine on both sides.

Simplify both sides of the equation.

The slope of this line is .

The only line provided that has the similar slope is:  

The answer is:  

First, you should put the equation in slope intercept form (y = mx + b), where m is the slope.   

Isolate the y term

3x + 8y – 3x = 16 – 3x

8y = 16 – 3x

Rearrange terms

8y = –3x +16

Divide both sides by 8

The slope of the line is -3/8. A parallel line will have the same slope, thus -3/8 is the correct answer.

When two lines are parallel, they have the same slope. With this in mind we take the slope of the first line which is   and make it the slope of our parallel line.

If , then .

Parallel lines have identical slopes. To determine the slope of the given line, transform into the format, or . The slope of the given line is , so its parallel line must also be .