Question

Which ordered pairs represent points on the graph of this equation? Select all that apply.
y=3x+2

Answer 1

To determine which ordered pairs represent points on the graph of the equation \( y = 3x + 2 \), we can substitute the x-values from the ordered pairs into the equation and check if the corresponding y-values match.

Let's say we have the following ordered pairs to evaluate:

1. \( (0, 2) \)
2. \( (1, 5) \)
3. \( (2, 8) \)
4. \( (3, 11) \)
5. \( (4, 14) \)
6. \( (-1, -1) \)

**Now let's evaluate each pair:**

1. For \( (0, 2) \):
\[
y = 3(0) + 2 = 2
\]
This matches, so \( (0, 2) \) is a point on the graph.

2. For \( (1, 5) \):
\[
y = 3(1) + 2 = 5
\]
This matches, so \( (1, 5) \) is a point on the graph.

3. For \( (2, 8) \):
\[
y = 3(2) + 2 = 8
\]
This matches, so \( (2, 8) \) is a point on the graph.

4. For \( (3, 11) \):
\[
y = 3(3) + 2 = 11
\]
This matches, so \( (3, 11) \) is a point on the graph.

5. For \( (4, 14) \):
\[
y = 3(4) + 2 = 14
\]
This matches, so \( (4, 14) \) is a point on the graph.

6. For \( (-1, -1) \):
\[
y = 3(-1) + 2 = -3 + 2 = -1
\]
This matches, so \( (-1, -1) \) is a point on the graph.

**Summary of ordered pairs that are on the graph of \( y = 3x + 2 \):**

- \( (0, 2) \)
- \( (1, 5) \)
- \( (2, 8) \)
- \( (3, 11) \)
- \( (4, 14) \)
- \( (-1, -1) \)

Thus, **all the given pairs** are valid points on the graph of \( y = 3x + 2 \).