Concept explainers
To calculate: To explain why a linear function has infinitely many solutions.
Answer to Problem 39HP
An equation is the best representation that shows all the solutions of a linear function.
Explanation of Solution
Given information: Linear equation with infinitely many solutions
Formula Used:
Vertical line test: Given a graph, if one draws a vertical line that crosses the graph in more than one place, the relation is not a function, while if the vertical line crosses the graph only at one point, then the relation is a function
Calculation:
The system of linear equations has infinitely many solutions if the graph of two linear equations overlap
An equation is the best representation that shows all the solutions of a linear function. This is because in case of table, it is impossible to list infinite values, while in case of graph, it is difficult to show overlapping graphs.
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