4.3: Horizontal and Vertical Line Graphs
Suppose you're at an allyoucaneat 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
“Madcabs” 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
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)
Guided Practice
Graph the following:
1.
2.
Solutions:
The graph of
Practice
 What is the equation for the \begin{align*}x\end{align*}
x− axis?  What is the equation for the \begin{align*}y\end{align*}
y− axis?
Write the equations for the graphed lines pictured below.

\begin{align*}E\end{align*}
E 
\begin{align*}B\end{align*}
B 
\begin{align*}C\end{align*}
C 
\begin{align*}A\end{align*}
A 
\begin{align*}D\end{align*}
D
 Graph \begin{align*}x=7\end{align*}
x=−7 .  Graph \begin{align*}y=100\end{align*}
y=100 .  Graph \begin{align*}y=1/2\end{align*}
y=1/2 .
Image Attributions
Here you'll learn about horizontal and vertical lines and how to graph them.