# High School Math : Linear Functions

## Example Questions

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

Which of the following is a horizontal line?      Explanation:

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 #2 : Understanding Vertical And Horizontal Lines

Which of the following is a vertical line?      Explanation:

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 #3 : Understanding Vertical And Horizontal Lines

Which of the following has a slope of 0?      Explanation:

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 #4 : Understanding Vertical And Horizontal Lines

Which of the following is a vertical line?      Explanation:

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 #1 : Graphing Linear Functions

Solve for the - and - intercepts:      Explanation:

To solve for the -intercept, set to zero and solve for :    To solve for the -intercept, set to zero and solve for :    ### Example Question #2 : Graphing Linear Functions

Solve:     Infinitely many solutions

No solutions Explanation:

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 #1 : Transformations Of Linear Functions

Write in slope-intercept form.     Explanation:

Slope-intercept form is .   ### All High School Math Resources 