Learn Before
Graphing by Plotting Points
To graph the equation , recognize that it features only one variable, indicating the -value is a constant no matter what the -value is. To proceed, build a table of values where every -coordinate is , and pick arbitrary values for the -coordinates (such as , , and ), producing ordered pairs like , , and . Plot these ordered pairs on the coordinate plane and draw a line connecting them. Consistent with equations of this form, the resulting graph is a horizontal line intersecting the -axis at .
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OpenStax
Intermediate Algebra @ OpenStax
Ch.3 Graphs and Functions - Intermediate Algebra @ OpenStax
Algebra
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Graphing by Plotting Points
Graphing by Plotting Points
Comparison of and
Comparison of and
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 -axis and the total cost on the -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 , 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 regardless of the monthly sales volume , the graph is a horizontal line. True or False: The equation for this horizontal line is , it contains only the variable (no ), and it passes through the -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 . 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
Learn After
As part of a data visualization training for quality assurance, you need to create a reference line on a control chart representing a constant lower specification limit defined by the equation . Recall the process of graphing this equation by plotting points. Arrange the steps in the correct order from start to finish.
A facility technician is mapping a building's subterranean utility lines on a coordinate plane. One specific utility line is modeled by the equation . When graphing this line by plotting points, which of the following sets of ordered pairs correctly represents points where the -coordinate remains the constant value required by the equation?
An architectural draftsman is creating a blueprint for a building extension. A horizontal structural beam is located along a coordinate line defined by the equation . To correctly graph this beam on the grid by plotting points, match each graphing component with its correct description or value.
A building inspector uses a coordinate grid to map the elevation of a subterranean drainage pipe modeled by the equation . When creating a table of values to graph this pipe by plotting points, the inspector selects several different -coordinates. For every ordered pair generated, the -coordinate must always be the constant value ____.
A facilities manager is mapping the layout of a cooling system in a data center using a coordinate grid. A main coolant pipe follows a horizontal path represented by the equation . True or False: To graph this pipe by plotting points, the manager must use a constant value of -1 for the -coordinate in every ordered pair, regardless of the -values selected for the table.
Graphing in Warehouse Layout Planning
CNC Machine Path Verification