Question

Which ordered pairs represent points on the graph of this equation?
–5x+4y=10

Answer 1

To determine which ordered pairs represent points on the graph of the equation \(-5x + 4y = 10\), we can plug in the x and y values of each ordered pair into the equation.

Let's check some example ordered pairs:

1. **(0, 2.5)**:
\[
-5(0) + 4(2.5) = 0 + 10 = 10 \quad \text{(True)}
\]

2. **(2, 0)**:
\[
-5(2) + 4(0) = -10 + 0 = -10 \quad \text{(False)}
\]

3. **(2, 5)**:
\[
-5(2) + 4(5) = -10 + 20 = 10 \quad \text{(True)}
\]

4. **(1, 3)**:
\[
-5(1) + 4(3) = -5 + 12 = 7 \quad \text{(False)}
\]

5. **(-1, 1)**:
\[
-5(-1) + 4(1) = 5 + 4 = 9 \quad \text{(False)}
\]

6. **(4, 0)**:
\[
-5(4) + 4(0) = -20 + 0 = -20 \quad \text{(False)}
\]

7. **(0, 2.5)**:
\[
-5(0) + 4(2.5) = 0 + 10 = 10 \quad \text{(True)}
\]

Based on this, the pairs that satisfy the equation \(-5x + 4y = 10\) are:

- (0, 2.5)
- (2, 5)

If you have specific ordered pairs you would like checked, please provide them, and I can verify which ones satisfy the equation.