### All Algebra 1 Resources

## Example Questions

### Example Question #4101 : Algebra 1

Determine if the lines are parallel and find their slopes:

**Possible Answers:**

**Correct answer:**

In order to determine if two lines have the same slope first write them according to slope-intercept form, where "m" is the slope of the line:

Do that for each line:

The first line has a slope of 3, while the second has a slope of -2 meaning the lines are not parallel.

### Example Question #102 : How To Find Out If Lines Are Parallel

Find the line that is parallel to the following:

**Possible Answers:**

**Correct answer:**

Two lines are parallel when they have the same slope. We can compare slopes when we write the equation of the line in slope-intercept form

where *m* is the slope. Given the original equation

we must write it in slope-intercept form to find the slope. To do this, we will divide each term by 6. We get

Therefore, the slope of the original line is -7. A line that is parallel to this line needs to have a slope of -7.

Let's look at the equation of the line

We must write it in slope-intercept form. To do this, we will divide each term by -8. We get

The slope of this line is -7. Therefore, it is parallel to the original line.

### Example Question #103 : How To Find Out If Lines Are Parallel

Given the equations and , are the two lines parallel to each other?

**Possible Answers:**

Yes, the lines are parallel since y-intercepts are alike.

Yes, the lines are parallel since slopes are alike.

Yes, the lines are parallel since slopes are NOT alike.

No, the lines are NOT parallel since slopes are NOT alike.

No, the lines are NOT parallel since y-intercepts are NOT alike.

**Correct answer:**

Yes, the lines are parallel since slopes are alike.

For the lines to be parallel, both the lines must have similar slopes.

Write the slope-intercept form.

The represents the slope. Both of the equation have a slope of negative three. Therefore, both lines are parallel.

The answer is:

### Example Question #104 : How To Find Out If Lines Are Parallel

Which of the following lines is parallel to

**Possible Answers:**

**Correct answer:**

If two lines are parallel, then they have the same slope. To find the slope of a line, we write it in slope-intercept form

where *m* is the slope. So given the equation

we must solve for *y*. To do that, we will divide each term by 6. We get

We can see the slope of this line is -7. Therefore, this line is parallel to the line

because it also has a slope of -7.

### Example Question #152 : Parallel Lines

How can you tell if two lines are parallel?

**Possible Answers:**

**Correct answer:**

When looking at parallel lines, the slopes on both lines must be the same. The y-intercept (or any other characteristic) of the lines do not matter.

As long as the slopes are the same, the lines are parallel.

### Example Question #101 : How To Find Out If Lines Are Parallel

Which of the following lines are parallel to ?

**Possible Answers:**

**Correct answer:**

In order to determine whether if the lines are parallel, the lines must never intersect and share a similar slope to the equation given in the problem.

The equation is already in the form of:

The variable denotes the slope of the function.

The slope of the other line must be three to be parallel.

The only possible answer is:

### Example Question #106 : How To Find Out If Lines Are Parallel

Determine if the two lines are parallel

**Possible Answers:**

Lines are NOT parallel

Cannot be determined

Lines are parallel

Lines are dependent

**Correct answer:**

Lines are NOT parallel

When given the equations of a line in slope-intercept form

the lines are parallel if both of the following conditions are met

- is the same value for both equations
- are different values in the two equations

For the lines

we see that the values are not the same and as such

the lines are NOT parallel.

### Example Question #107 : How To Find Out If Lines Are Parallel

Which of the following equations of a line is parallel to that of:

**Possible Answers:**

**Correct answer:**

It is important to know that parallel lines have the same slope.

To see which line is parallel to the given equation you need to get all the lines in the form of , which means you need to get by itself by bringing to the other side.

### Example Question #108 : How To Find Out If Lines Are Parallel

Which of the following lines (expressed in slope-intercept form) is parallel to the line with the equation ?

**Possible Answers:**

**Correct answer:**

Parallel lines have the same slope, so without needing to graph these equations, all we must do is identify the slope. Each of the equations is already in slope-intercept form, so we must only remember that the equation of a line is , where m represents the slope. Therefore, the parallel line is the one that also has a slope of 3--in this case, .

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