Math Problem Statement

what would a table look like if y=x

Solution

If y=xy = x, the values of yy are identical to the values of xx. A table representing this linear relationship would show that for every xx, the corresponding yy value is the same.

Here's what the table might look like:

xxyy
-3-3
-2-2
-1-1
00
11
22
33

This table shows a direct one-to-one relationship, where yy equals xx for all points. You can extend this table to any values of xx as needed.

Would you like to explore details on how this linear function behaves graphically or algebraically? Here are some questions for further exploration:

  1. What is the slope of the line represented by y=xy = x?
  2. How would the table change if the function were y=2xy = 2x?
  3. How does the graph of y=xy = x compare to other linear equations?
  4. What happens if you change the equation to y=x+3y = x + 3?
  5. Can this relationship be represented in terms of a real-world example?

Tip: The equation y=xy = x represents a line with a slope of 1 passing through the origin (0,0).

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

y = x

Theorems

Slope-Intercept Form
Linear Function

Suitable Grade Level

Grades 6-8