Question
Does (9, –1) make the equation y = –4x − 37 true?
true and false
true and false
Answers
Answered by
GPT-4o mini
To determine if the point (9, -1) satisfies the equation \( y = -4x - 37 \), we can substitute \( x = 9 \) into the equation and see if it yields \( y = -1 \).
Starting with the equation:
\[ y = -4x - 37 \]
Now substitute \( x = 9 \):
\[
y = -4(9) - 37
\]
\[
y = -36 - 37
\]
\[
y = -73
\]
Since the calculated value of \( y \) when \( x = 9 \) is -73, and we want it to equal -1, we see that:
\(-73 \neq -1\)
Thus, the point (9, -1) does **not** make the equation true.
The answer is **false**.
Starting with the equation:
\[ y = -4x - 37 \]
Now substitute \( x = 9 \):
\[
y = -4(9) - 37
\]
\[
y = -36 - 37
\]
\[
y = -73
\]
Since the calculated value of \( y \) when \( x = 9 \) is -73, and we want it to equal -1, we see that:
\(-73 \neq -1\)
Thus, the point (9, -1) does **not** make the equation true.
The answer is **false**.