Suppose you're at an all-you-can-eat pancake house where you can pay $8.99 and have all the pancakes you want. What if you graphed the number of pancakes you ate along the

### Guidance

Not all graphs are slanted or **oblique**. Some are horizontal or vertical. Read through the next situation to see why.

#### Example A

*“Mad-cabs” have an unusual offer going on. They are charging $7.50 for a taxi ride of any length within the city limits. Graph the function that relates the cost of hiring the taxi (y) to the length of the journey in miles (x).*

Solution: No matter the mileage, your cab fare will be $7.50. To see this visually, create a graph. You can also create a table to visualize the situation.

# of miles |
Cost |
---|---|

0 | 7.50 |

10 | 7.50 |

15 | 7.50 |

25 | 7.50 |

60 | 7.50 |

Because the mileage can be anything, the equation should relate only to the restricted value, in this case,

Whenever there is an equation of the form

Similarly, if there is an equation of the form

#### Example B

Graph

**Solution:**

Notice that there is no

#### Example C

*Graph the following lines.*

(a)

(b)

(c)

(d)

**Solution:**

(a)

(b)

(c)

(d)

### Video Review

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### Guided Practice

Graph the following:

1.

2.

**Solutions:**

The graph of

### Explore More

- What is the equation for the \begin{align*}x-\end{align*}
*axis*? - What is the equation for the \begin{align*}y-\end{align*}
*axis*?

Write the equations for the graphed lines pictured below.

- \begin{align*}E\end{align*}
- \begin{align*}B\end{align*}
- \begin{align*}C\end{align*}
- \begin{align*}A\end{align*}
- \begin{align*}D\end{align*}

- Graph \begin{align*}x=-7\end{align*}.
- Graph \begin{align*}y=100\end{align*}.
- Graph \begin{align*}y=1/2\end{align*}.

### Answers for Explore More Problems

To view the Explore More answers, open this PDF file and look for section 4.3.