Question

Which table corresponds to the equation y = −3x −2?

Responses

x y
–2 4
–1 1
0 –2
1 –5
2 –8
x y –2 4 –1 1 0 –2 1 –5 2 –8

x y
–2 –8
–1 –5
0 –2
1 1
2 4
x y –2 –8 –1 –5 0 –2 1 1 2 4

x y
–2 8
–1 5
0 2
1 –1
2 –4
x y –2 8 –1 5 0 2 1 –1 2 –4

x y
–2 4
–1 1
0 –2
1 1
2 4

Answer 1

To find the correct table corresponding to the equation \( y = -3x - 2 \), we can plug in the values from the first column (x values) into the equation and check if we get the correct y values.

1. For \( x = -2 \):
\[
y = -3(-2) - 2 = 6 - 2 = 4
\]

2. For \( x = -1 \):
\[
y = -3(-1) - 2 = 3 - 2 = 1
\]

3. For \( x = 0 \):
\[
y = -3(0) - 2 = 0 - 2 = -2
\]

4. For \( x = 1 \):
\[
y = -3(1) - 2 = -3 - 2 = -5
\]

5. For \( x = 2 \):
\[
y = -3(2) - 2 = -6 - 2 = -8
\]

Now, let's look at the computed y values:
- When \( x = -2 \), \( y = 4 \)
- When \( x = -1 \), \( y = 1 \)
- When \( x = 0 \), \( y = -2 \)
- When \( x = 1 \), \( y = -5 \)
- When \( x = 2 \), \( y = -8 \)

The only table that corresponds to these values is:

```
x y
–2 4
–1 1
0 –2
1 –5
2 –8
```

Thus, the correct table is the first one.