To find the linear equation in the form \( y = mx + b \) from the given table, we can first observe that the values of \( y \) are equal to the corresponding values of \( x \) in every row. This indicates that the slope \( m \) is equal to 1, and the y-intercept \( b \) is also equal to 0.
Thus, the linear equation can be derived as follows:
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Identify the slope (m): Since \( y \) increases by the same amount as \( x \), the slope \( m = 1 \).
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Identify the y-intercept (b): When \( x = 0 \), \( y \) is also 0. Therefore, the y-intercept \( b = 0 \).
Putting this together, the linear equation is:
\[ y = 1x + 0 \]
We can simplify it to:
\[ y = x \]
So the answer is:
\[ y = x + 0 \]
Or simply:
\[ y = x \]
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