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High School Math : Understanding Vertical and Horizontal Lines

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Example Questions

Example Question #1 : Vertical And Horizontal Lines

Which of the following is a horizontal line?

Possible Answers:

x = 4 $\displaystyle x = 4$

y = 0 $\displaystyle y = 0$

y=2x+1 $\displaystyle y=2x+1$

$\displaystyle y = 3x + 4$

y = -x $\displaystyle y = -x$

Correct answer:

y = 0 $\displaystyle y = 0$

Explanation:

A horizontal line has infinitely many values for $\displaystyle x$ , but only one possible value for $\displaystyle y$ . Thus, it is always of the form y = c $\displaystyle y = c$ , where $\displaystyle c$ is a constant. Horizontal lines have a slope of $\displaystyle 0$ . The only equation of this form is y = 0 $\displaystyle y = 0$ .

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Example Question #1 : Linear Functions

Which of the following is a vertical line?

Possible Answers:

y = 4 $\displaystyle y = 4$

$\displaystyle y = 3x + 2$

y = x $\displaystyle y = x$

$y = \frac{1}{x}$ $\displaystyle y = \frac{1}{x}$

x = 3 $\displaystyle x = 3$

Correct answer:

x = 3 $\displaystyle x = 3$

Explanation:

A vertical line is one in which the $\displaystyle y$ values can vary. Namely, there is only one possible value for $\displaystyle x$ , and $\displaystyle y$ can be any number. Thus, by this description, the only vertical line listed is x = 3 $\displaystyle x = 3$ .

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Example Question #11 : Functions And Graphs

Which of the following has a slope of 0?

Possible Answers:

$y = 3^{x}$ $\displaystyle y = 3^{x}$

$y = \frac{1}{x}$ $\displaystyle y = \frac{1}{x}$

y = 10 $\displaystyle y = 10$

y = x $\displaystyle y = x$

x = 0 $\displaystyle x = 0$

Correct answer:

y = 10 $\displaystyle y = 10$

Explanation:

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

Thus, the only given equation which fits this description is y = 10 $\displaystyle y = 10$ .

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Example Question #21 : Functions And Graphs

Which of the following is a vertical line?

Possible Answers:

y = 0 $\displaystyle y = 0$

y = 6 $\displaystyle y = 6$

$\displaystyle y = 3x + 3$

$\displaystyle y = -x + 2$

x = 2 $\displaystyle x = 2$

Correct answer:

x = 2 $\displaystyle x = 2$

Explanation:

A vertical line has infinitely many values of $\displaystyle y$ but only one value of $\displaystyle x$ . Thus, vertical lines are of the form x = c $\displaystyle x = c$ , where $\displaystyle c$ is a real number. The only equation of this form is x = 2 $\displaystyle x = 2$ .

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High School Math : Understanding Vertical and Horizontal Lines

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : Vertical And Horizontal Lines

Example Question #1 : Linear Functions

Example Question #11 : Functions And Graphs

Example Question #21 : Functions And Graphs

All High School Math Resources

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