Learn Before
Graphing by Plotting Points
To graph the horizontal line equation , note that the equation lacks the variable and asserts that the -value is a constant . Because does not depend on , any value can be chosen for the -coordinates when constructing a table of values using the Point-Plotting Method. Fill in for all the -coordinates and select convenient numbers, such as , , and , for the -coordinates. This creates the ordered pairs , , and . Plotting these points on a coordinate plane and connecting them yields a horizontal line that passes through the -axis at .
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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 .
Learn After
A small business uses a specialized software service that charges a flat monthly maintenance fee of dollars, regardless of the number of users (). This relationship is represented by the equation . When graphing this cost by plotting points, which set of ordered pairs correctly reflects that the -coordinate must remain constant at ?
A quality control inspector is charting a machine's output pressure, which must remain steady at 4 units. This constant pressure is modeled by the equation . When creating a table of values to graph this equation by plotting points, the inspector must only generate ordered pairs where the -coordinate is 4, regardless of the -coordinate.
An office manager is graphing a fixed monthly service fee of 4 dollars per employee, which is modeled by the equation . Arrange the following steps in the correct order to graph this relationship using the point-plotting method.
A company's software subscription charges a flat monthly 'Cloud Access Fee' of 4 dollars, regardless of how many gigabytes of data () the user uploads. This relationship is modeled by the equation . To graph this fee structure using the point-plotting method, an administrator must identify the correct coordinates for their table of values. Match each component of the graphing process with its correct description in this context.
Graphing Constant Coolant Flow Rates