How would a person create a Linear Function as a Picture, a Graph, a Table, an Equation or Expression, and in a Word Problem?

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asked Feb 4, 2024 67.7k views

1 Answer

Homer White · Answer 1 · 2024-02-08T15:09:20+0000

A linear function can be represented as a picture, a graph, a table, an equation or expression, and a word problem.

A linear function can be represented in various ways:

Picture: A linear function can be represented as a picture by graphing it on a coordinate plane. The graph will form a straight line, with the y-intercept representing the starting point of the line and the slope representing the rate of change.
Graph: A linear function can be represented graphically by plotting the coordinates of points that satisfy the equation. Connect these points with a straight line to create the graph of the function.
Table: A linear function can also be represented in a table by listing the input (x) and output (y) values that satisfy the equation. Each x-value is paired with its corresponding y-value.
Equation or Expression: The equation or expression of a linear function is of the form y = mx + b, where m is the slope and b is the y-intercept. This equation represents the relationship between the input and output values of the function.
Word Problem: A linear function can be represented in the form of a word problem, where the equation or expression describes a real-life situation. The variables in the equation represent different quantities and their relationships.