To determine if the point (6, 1) makes the equation \( y = x^2 - 2x \) true, we can substitute \( x = 6 \) into the equation and check if it equals \( y = 1 \).
First, substitute \( x = 6 \) into the equation:
\[ y = 6^2 - 2(6) \]
Calculating \( 6^2 \):
\[ 6^2 = 36 \]
Next, calculate \( -2(6) \):
\[ -2(6) = -12 \]
Now, combine the two results:
\[ y = 36 - 12 = 24 \]
Since \( y = 24 \) when \( x = 6 \), we see that the coordinate \( (6, 1) \) does not satisfy the equation \( y = x^2 - 2x \) because \( 24 \neq 1 \).
Thus, the point (6, 1) does not make the equation true.
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