To determine if the point \((-3, -5)\) is on the line represented by the equation \(y = \frac{3}{-1}x - 6\), we need to substitute \(x = -3\) and check if the resulting \(y\) value is \(-5\).
First, simplify the equation \(y = \frac{3}{-1}x - 6\):
\[ y = -3x - 6 \]
Now, substitute \(-3\) for \(x\):
\[ y = -3(-3) - 6 \]
This simplifies to:
\[ y = 9 - 6 = 3 \]
Now we see that when \(x = -3\), \(y\) evaluates to \(3\), not \(-5\). Therefore, the point \((-3, -5)\) is not on the line.
The correct response is:
No, because when you substitute −3 for x and −5 for y, the equation is NOT true.