### All Pre-Algebra Resources

## Example Questions

### Example Question #21 : Graphing Lines

What is the slope of the line formed by the following equation?

**Possible Answers:**

**Correct answer:**

To find the slope of the line, we must write the equation in slope-intercept form or

where *m* is the slope and *b* is the y-intercept.

We must get *y* by itself. So, we will divide all terms by 4.

Now that it is in slope-intercept form, we can find the slope. The slope *m* is the coefficient of the term with the variable *x. *Therefore, the slope of the line

is -2.

### Example Question #22 : Graphing Lines

Find the line that is parallel to the following line:

**Possible Answers:**

**Correct answer:**

To find a line that is parallel, we must find a line with the same slope as

When looking at an equation of a line in y-intercept form

we know *m* is the slope. So, to determine the slope, we must write the equations in slope-intercept form. Let's look at the equation

and write it in slope intercept form. We must divide each term by 9.

Therefore, the slope of this line is -3. Because it has the same slope as the original equation, this line is parallel to the original line.

### Example Question #23 : Graphing Lines

Find the y-intercept in the following equation:

**Possible Answers:**

**Correct answer:**

To find the y-intercept, we must first write the equation in y-intercept form

where *b* is the y-intercept. So,

we must solve for *y*. We must divide each term by 3. We get

Therefore, the y-intercept is -9.

### Example Question #24 : Graphing Lines

What is the slope of the line that contains the points and ?

**Possible Answers:**

**Correct answer:**

To find the slope of a line with two points we must properly plug the points into the slope equation:

We must then assign the variables and .

In this case we will plug in for and for .

Plugging the points into the equation yields .

Perform the math to arrive at .

The answer is.

### Example Question #25 : Graphing Lines

Find the y-intercept of the following equation of a line:

**Possible Answers:**

**Correct answer:**

To find the y-intercept of an equation, we must first write it in slope-intercept form

where *m* is the slope and *b* is the y-intercept. So, in our equation of a line, we must solve for *y.*

We must divide each term by 3.

where -4 is the slope and 12 is the y-intercept.

Therefore, the y-intercept is 12.

Certified Tutor

Certified Tutor