Math Problem Statement

Determine the equation for y based on the table of values provided.

Solution

From the table provided, we see that each value of yy matches the corresponding value of xx. Specifically:

  • When x=18x = -18, y=18y = -18
  • When x=12x = -12, y=12y = -12
  • When x=6x = -6, y=6y = -6
  • When x=0x = 0, y=0y = 0

This indicates a direct relationship where y=xy = x. Therefore, the equation describing this relationship is:

y=xy = x

Would you like a further breakdown of this relationship or have any questions about it?

Here are some related questions for further exploration:

  1. What would yy be if x=10x = 10 using the equation y=xy = x?
  2. How would the equation change if each yy-value were double the xx-value?
  3. What is the slope of the line represented by this equation?
  4. How can you graph this equation on a coordinate plane?
  5. How would the equation change if all yy-values were shifted up by 5?

Tip: Recognizing a simple linear relationship in a table of values helps to quickly determine the equation that describes it.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Direct Variation

Formulas

y = x

Theorems

Direct Variation

Suitable Grade Level

Grade 6-8