### All High School Math Resources

## Example Questions

### Example Question #1 : Understanding Vertical And Horizontal Lines

Which of the following is a horizontal line?

**Possible Answers:**

**Correct answer:**

A horizontal line has infinitely many values for , but only one possible value for . Thus, it is always of the form , where is a constant. Horizontal lines have a slope of . The only equation of this form is .

### Example Question #1 : Linear Functions

Which of the following is a vertical line?

**Possible Answers:**

**Correct answer:**

A vertical line is one in which the values can vary. Namely, there is only one possible value for , and can be any number. Thus, by this description, the only vertical line listed is .

### Example Question #2 : Understanding Vertical And Horizontal Lines

Which of the following has a slope of 0?

**Possible Answers:**

**Correct answer:**

A line with a slope of zero will be horizontal. A horizontal line has only one possible value for , and can be any value.

Thus, the only given equation which fits this description is .

### Example Question #3 : Understanding Vertical And Horizontal Lines

Which of the following is a vertical line?

**Possible Answers:**

**Correct answer:**

A vertical line has infinitely many values of but only one value of . Thus, vertical lines are of the form , where is a real number. The only equation of this form is .

### Example Question #3 : Linear Functions

Solve for the - and - intercepts:

**Possible Answers:**

**Correct answer:**

To solve for the -intercept, set to zero and solve for :

To solve for the -intercept, set to zero and solve for :

### Example Question #4 : Linear Functions

Solve:

**Possible Answers:**

Infinitely many solutions

No solutions

**Correct answer:**

Use substution to solve this problem:

becomes and then is substituted into the second equation. Then solve for :

, so and to give the solution .

### Example Question #5 : Linear Functions

Write in slope-intercept form.

**Possible Answers:**

**Correct answer:**

Slope-intercept form is .

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