To determine which ordered pairs represent points on the graph of the equation \(2x + 5y = -4\), you need to substitute the values in each ordered pair into the equation and see if the equation holds true.
Let's check each ordered pair one at a time. For example, if you have pairs like \((x, y)\):
-
If \((x, y) = (0, -\frac{4}{5})\): \[ 2(0) + 5\left(-\frac{4}{5}\right) = -4 \] \[ 0 - 4 = -4 \quad \text{(True)} \]
-
If \((x, y) = (-1, 0)\): \[ 2(-1) + 5(0) = -4 \] \[ -2 + 0 = -4 \quad \text{(False)} \]
-
If \((x, y) = (2, -2)\): \[ 2(2) + 5(-2) = -4 \] \[ 4 - 10 = -4 \quad \text{(True)} \]
-
If \((x, y) = (1, -1)\): \[ 2(1) + 5(-1) = -4 \] \[ 2 - 5 = -3 \quad \text{(False)} \]
Continue this check for all ordered pairs given. Any pair that results in a true statement satisfies the equation \(2x + 5y = -4\) and is a valid point on the graph.
If you provide specific ordered pairs, I can check those for you directly!