### All GED Math Resources

## Example Questions

### Example Question #1 : Slope

Which of the following equations has as its graph a line with slope ?

**Possible Answers:**

**Correct answer:**

For each equation, solve for and express in the slope-intercept form . The coefficient of will be the slope.

is graphed by a line with slope and is the correct choice.

### Example Question #2 : Slope

Find the slope of .

**Possible Answers:**

**Correct answer:**

The equation given should be written in slope-intercept form, or format.

The in the slope-intercept equation represents the slope.

Add on both sides of the equation.

Divide by two on both sides of the equation to isolate y.

Therefore, the slope is 1.

### Example Question #3 : Slope

Determine the slope, given the points and .

**Possible Answers:**

**Correct answer:**

Write the formula for the slope.

We can select any point to be and vice versa.

The answer is:

### Example Question #4 : Slope

Find the slope of the equation:

**Possible Answers:**

**Correct answer:**

We will need to group the x variables on one side of the equation and the y-variable on the other.

Add on both sides.

Add on both sides.

Divide both sides by 9.

The slope is .

### Example Question #5 : Slope

What is the slope of the following line?

**Possible Answers:**

**Correct answer:**

To find the slope, rewrite the equation in slope intercept form.

Add on both sides.

This is the same as:

This means that the slope is .

The answer is:

### Example Question #6 : Slope

What is the slope of the following equation?

**Possible Answers:**

**Correct answer:**

Simplify the equation so that it is in slope-intercept format.

The simplified equation is:

The slope is:

### Example Question #7 : Slope

What is the slope between the points and ?

**Possible Answers:**

**Correct answer:**

Recall that slope is calculated as:

This could be represented, using your two points, as:

Based on your data, this would be:

### Example Question #8 : Slope

What is the slope of the line defined as ?

**Possible Answers:**

**Correct answer:**

There are two ways that you can do a problem like this. First you could calculate the slope from two points. You would do this by first choosing two values and then using the slope formula, namely:

This could take some time, however. You could also solve it by using the slope intercept form of the equation, which is:

If you get your equation into this form, you just need to look at the coefficient . This will give you all that you need for knowing the slope.

Your equation is:

What you need to do is isolate :

Notice that this is the same as:

The next operation confuses some folks. However, it is very simple. Just divide everything by . This gives you:

You do not need to do anything else. The slope is .

### Example Question #9 : Slope

Find the slope of the equation:

**Possible Answers:**

**Correct answer:**

To determine the slope, we will need the equation in slope-intercept form.

Subtract from both sides.

Divide by negative three on both sides.

The slope is:

### Example Question #10 : Slope

What is the slope of the line perpendicular to the line running between the points and ?

**Possible Answers:**

**Correct answer:**

Recall that slope is calculated as:

This could be represented, using your two points, as:

Based on your data, this would be:

Remember, the question asks for the **slope that is perpendicular to this slope! **Don't forget this point! The perpendicular slope is opposite and reciprocal.

Therefore, it is: