To find out which ordered pair lies on the graph of the equation y = 2x + 3, we need to check which pair satisfies this linear equation. Let’s say we have a few ordered pairs to choose from, like (0, 3), (1, 5), (2, 6), and (3, 9).
We can substitute the x-value of each ordered pair into the equation to see if the corresponding y-value matches.
- For (0, 3):
- y = 2(0) + 3 = 3
- Matches y = 3
- For (1, 5):
- y = 2(1) + 3 = 5
- Matches y = 5
- For (2, 6):
- y = 2(2) + 3 = 7
- Does not match y = 6
- For (3, 9):
- y = 2(3) + 3 = 9
- Matches y = 9
From this evaluation, we can see that the ordered pairs (0, 3), (1, 5), and (3, 9) lie on the graph of the equation y = 2x + 3. In contrast, (2, 6) does not satisfy the equation.