The problem asks us to create a table of $x$ and $y$ values for the line $y = 1 - 5x$, where $x$ ranges from $-2$ to $2$. We can choose integer values for $x$, namely $x = -2, -1, 0, 1, 2$.

AlgebraLinear EquationsCoordinate GeometryTable of Values
2025/4/30

1. Problem Description

The problem asks us to create a table of xx and yy values for the line y=15xy = 1 - 5x, where xx ranges from 2-2 to 22. We can choose integer values for xx, namely x=2,1,0,1,2x = -2, -1, 0, 1, 2.

2. Solution Steps

We are given the equation y=15xy = 1 - 5x. We will substitute the given values of xx into the equation to find the corresponding yy values.
For x=2x = -2:
y=15(2)=1+10=11y = 1 - 5(-2) = 1 + 10 = 11
For x=1x = -1:
y=15(1)=1+5=6y = 1 - 5(-1) = 1 + 5 = 6
For x=0x = 0:
y=15(0)=10=1y = 1 - 5(0) = 1 - 0 = 1
For x=1x = 1:
y=15(1)=15=4y = 1 - 5(1) = 1 - 5 = -4
For x=2x = 2:
y=15(2)=110=9y = 1 - 5(2) = 1 - 10 = -9
We can now write the table of xx and yy values.

3. Final Answer

| x | y |
|---|---|
| -2 | 11 |
| -1 | 6 |
| 0 | 1 |
| 1 | -4 |
| 2 | -9 |

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