Graphing $y = 4$ by Plotting Points

Graphing $y = -1$ by Plotting Points

Comparison of $y = 4x$ and $y = 4$

Comparison of $y = -3x$ and $y = -3$

A corporate training department has a fixed annual budget of 5000 dollars for online course licenses, regardless of how many employees enroll. When this budget is graphed on a coordinate plane with the number of enrollments on the $x$-axis and the total cost on the $y$-axis, it forms a horizontal line. Which equation represents this horizontal line?

An office manager is graphing a fixed monthly subscription cost for a software service that remains constant regardless of the number of employees using it. This graph forms a horizontal line on a coordinate plane. The general equation for any horizontal line takes the form $y = b$, which contains only the variable ____.

A project manager is tracking a fixed monthly subscription cost that does not change regardless of the number of users. On a coordinate plane, this fixed cost is represented by a horizontal line. Match each characteristic of a horizontal line with its correct mathematical description or property.

Identifying Fixed Costs as Horizontal Lines

A retail store manager is plotting a fixed monthly security fee on a coordinate plane. Because the fee is a constant amount $b$ regardless of the monthly sales volume $x$, the graph is a horizontal line. True or False: The equation for this horizontal line is $y = b$, it contains only the variable $y$ (no $x$), and it passes through the $y$-axis at the point (0, b).

An accounting clerk is preparing a coordinate graph to show the company's fixed monthly internet cost of 120 dollars, which is represented by the horizontal line equation $y = 120$. To correctly display this constant cost on a financial report, the clerk decides to use the point-plotting method. Arrange the steps the clerk must follow to graph this horizontal line, from start to finish.

Graphing Fixed Software Costs: Properties of a Horizontal Line