Question

Which ordered pairs represent points on the graph of this equation? Select all that apply.
2x + 5y =–4

Answer 1

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 \((x, y)\):

1. If \((x, y) = (0, -\frac{4}{5})\):
\[
2(0) + 5\left(-\frac{4}{5}\right) = -4
\]
\[
0 - 4 = -4 \quad \text{(True)}
\]

2. If \((x, y) = (-1, 0)\):
\[
2(-1) + 5(0) = -4
\]
\[
-2 + 0 = -4 \quad \text{(False)}
\]

3. If \((x, y) = (2, -2)\):
\[
2(2) + 5(-2) = -4
\]
\[
4 - 10 = -4 \quad \text{(True)}
\]

4. 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!