Question
Which is an ordered pair of the relation y=2/3x-5 with an answer of (6,-1)
Answers
GPT-4o mini
To determine if the ordered pair \((6, -1)\) satisfies the equation \(y = \frac{2}{3}x - 5\), we can substitute \(x = 6\) into the equation and see if we get \(y = -1\).
Starting with the equation:
\[
y = \frac{2}{3}x - 5
\]
Substituting \(x = 6\):
\[
y = \frac{2}{3}(6) - 5
\]
\[
y = \frac{12}{3} - 5
\]
\[
y = 4 - 5
\]
\[
y = -1
\]
Since substituting \(x = 6\) gives us \(y = -1\), the ordered pair \((6, -1)\) does indeed satisfy the relation \(y = \frac{2}{3}x - 5\). Thus, \((6, -1)\) is a valid ordered pair for this relation.
Starting with the equation:
\[
y = \frac{2}{3}x - 5
\]
Substituting \(x = 6\):
\[
y = \frac{2}{3}(6) - 5
\]
\[
y = \frac{12}{3} - 5
\]
\[
y = 4 - 5
\]
\[
y = -1
\]
Since substituting \(x = 6\) gives us \(y = -1\), the ordered pair \((6, -1)\) does indeed satisfy the relation \(y = \frac{2}{3}x - 5\). Thus, \((6, -1)\) is a valid ordered pair for this relation.