Algebra 1 : How to find the slope of parallel lines

Example Questions

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Example Question #3998 : Algebra 1

What is the slope of a line that is parallel to ?

Explanation:

To find the slope of a line parallel to any equation, the slopes will always be the same. We need to ensure we have  form.  stands for slope. In this case,  which is also our answer.

Example Question #3999 : Algebra 1

What is the slope of a line that is parallel to ?

Explanation:

When finding the slope of a parallel line, we need to ensure we have  form.

We need to solve for .

By adding  both sides and dividing  on both sides, we get    stands for slope.

Our  is   which is also the slope of the parallel line.

Example Question #41 : Parallel Lines

What is the slope of a line that is parallel to

Explanation:

When finding the slope of a parallel line, we need to ensure we have  form.

We need to solve for .

By subtracting  both sides and dividing  on both sides, we get

Recall that  stands for slope.

Our  is  or  which is also the slope of the parallel line.

Example Question #41 : Parallel Lines

Find the slope of a line parallel to a line with the equation:

Explanation:

When finding the slope of a parallel line, the slope will be the same as the other equation given.

In order to determine the slope from an equation we need to make sure that it is written in the following format:

If the equation of a line is written in the slope-intercept form, then  is slope and  is the y-intercept.

In this case, the slop is .  This is also the slope of the parallel line.

Example Question #42 : Parallel Lines

Find the slope of a line parallel to a line with the equation:

Explanation:

When finding the slope of a parallel line, the slope will be the same as the other equation given.

In order to determine the slope from an equation we need to make sure that it is written in the following format:

If the equation of a line is written in the slope-intercept form, then  is slope and  is the y-intercept.

In this case, we need to convert the equation into slope-intercept form.

Subtract  from both sides.

Divide both sides by .

Rewrite.

Identify the slope.

The slope is  or . This is also the slope of the parallel line.

Example Question #41 : Parallel Lines

Find the slope of a line parallel to a line with the equation:

Explanation:

When finding the slope of a parallel line, the slope will be the same as the other equation given.

In order to determine the slope from an equation we need to make sure that it is written in the following format:

If the equation of a line is written in the slope-intercept form, then  is slope and  is the y-intercept.

In this case, we need to convert the equation into slope-intercept form.

Divide both sides by .

Identify the slope.

The slope is . This is also the slope of the parallel line.

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