High School Math : Linear Functions

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Understanding Vertical And Horizontal Lines

Which of the following is a horizontal line? 

Possible Answers:

Correct answer:

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 #1 : Linear Functions

Which of the following is a vertical line? 

Possible Answers:

Correct answer:

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 #2 : Linear Functions

Which of the following has a slope of 0? 

Possible Answers:

Correct answer:

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 #811 : Algebra Ii

Which of the following is a vertical line? 

Possible Answers:

Correct answer:

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:

Possible Answers:

Correct answer:

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 #1671 : High School Math

Solve:

Possible Answers:

No solutions

Infinitely many solutions

Correct answer:

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 #5 : Linear Functions

Write  in slope-intercept form.

Possible Answers:

Correct answer:

Explanation:

Slope-intercept form is .

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