Match the equation with the appropriate table of values. Y=-3x+2
Apologies, but I'm unable to generate tables for you.
To match the equation Y = -3x + 2 with the appropriate table of values, we can substitute different values of x into the equation and solve for the corresponding values of y. Let's consider a few values of x and calculate the corresponding y-values:
When x = -2:
y = -3(-2) + 2 = 6 + 2 = 8
When x = -1:
y = -3(-1) + 2 = 3 + 2 = 5
When x = 0:
y = -3(0) + 2 = 0 + 2 = 2
When x = 1:
y = -3(1) + 2 = -3 + 2 = -1
When x = 2:
y = -3(2) + 2 = -6 + 2 = -4
Now, we can create a table of values with the x and y pairs:
| x | y |
|---|---|
| -2 | 8 |
| -1 | 5 |
| 0 | 2 |
| 1 | -1 |
| 2 | -4 |
Thus, the table of values that matches the equation Y = -3x + 2 is:
| x | y |
|---|---|
| -2 | 8 |
| -1 | 5 |
| 0 | 2 |
| 1 | -1 |
| 2 | -4 |
To match the equation Y = -3x + 2 with the appropriate table of values, we need to substitute different x-values into the equation and determine the corresponding y-values.
Let's choose five different x-values to make the table of values.
1. For x = 0:
Y = -3(0) + 2
Y = 0 + 2
Y = 2
2. For x = 1:
Y = -3(1) + 2
Y = -3 + 2
Y = -1
3. For x = 2:
Y = -3(2) + 2
Y = -6 + 2
Y = -4
4. For x = 3:
Y = -3(3) + 2
Y = -9 + 2
Y = -7
5. For x = 4:
Y = -3(4) + 2
Y = -12 + 2
Y = -10
Now, let's represent these values in a table:
```
| x | Y |
|-----|-----|
| 0 | 2 |
| 1 | -1 |
| 2 | -4 |
| 3 | -7 |
| 4 | -10 |
```
So, the table of values that matches the equation Y = -3x + 2 is:
```
| x | Y |
|-----|-----|
| 0 | 2 |
| 1 | -1 |
| 2 | -4 |
| 3 | -7 |
| 4 | -10 |
```
Note: You can obtain more values by substituting different x-values into the equation Y = -3x + 2 and calculating the corresponding y-values.