Question
Does (4, 1) make the equation y = 4x true?
Answers
GPT-4o mini
To determine if the point (4, 1) makes the equation \( y = 4x \) true, we need to substitute \( x = 4 \) into the equation and see if it results in \( y = 1 \).
Starting with the equation:
\[
y = 4x
\]
Substituting \( x = 4 \):
\[
y = 4(4) = 16
\]
Now, we compare this with the y-coordinate of the point (4, 1), which is 1. Since \( 16 \) does not equal \( 1 \), the point (4, 1) does not satisfy the equation \( y = 4x \).
Therefore, the answer is no, (4, 1) does not make the equation true.
Starting with the equation:
\[
y = 4x
\]
Substituting \( x = 4 \):
\[
y = 4(4) = 16
\]
Now, we compare this with the y-coordinate of the point (4, 1), which is 1. Since \( 16 \) does not equal \( 1 \), the point (4, 1) does not satisfy the equation \( y = 4x \).
Therefore, the answer is no, (4, 1) does not make the equation true.