Question

2 ( y = -x )

x | y
-5 |
-2 |
0 |
3 |

4 ( y = 2x - 4 )

x | y
-2 |
3 |
5 |
6 |

6 ( y = -x + 9 )

x | y
|

Explanation:

Problem 2: \( y = -x \)

Step1: Substitute \( x = -5 \)

Substitute \( x = -5 \) into \( y = -x \), we get \( y = -(-5) = 5 \).

Step2: Substitute \( x = -2 \)

Substitute \( x = -2 \) into \( y = -x \), we get \( y = -(-2) = 2 \).

Step3: Substitute \( x = 0 \)

Substitute \( x = 0 \) into \( y = -x \), we get \( y = -0 = 0 \).

Step4: Substitute \( x = 3 \)

Substitute \( x = 3 \) into \( y = -x \), we get \( y = -3 \).

Step1: Substitute \( x = -2 \)

Substitute \( x = -2 \) into \( y = 2x - 4 \), we get \( y = 2\times(-2)-4 = -4 - 4 = -8 \).

Step2: Substitute \( x = 3 \)

Substitute \( x = 3 \) into \( y = 2x - 4 \), we get \( y = 2\times3 - 4 = 6 - 4 = 2 \).

Step3: Substitute \( x = 5 \)

Substitute \( x = 5 \) into \( y = 2x - 4 \), we get \( y = 2\times5 - 4 = 10 - 4 = 6 \).

Step4: Substitute \( x = 6 \)

Substitute \( x = 6 \) into \( y = 2x - 4 \), we get \( y = 2\times6 - 4 = 12 - 4 = 8 \).

Step1: Substitute \( x = 0 \)

Substitute \( x = 0 \) into \( y = -x + 9 \), we get \( y = -0 + 9 = 9 \).

Step2: Substitute \( x = 1 \)

Substitute \( x = 1 \) into \( y = -x + 9 \), we get \( y = -1 + 9 = 8 \).

Step3: Substitute \( x = 2 \)

Substitute \( x = 2 \) into \( y = -x + 9 \), we get \( y = -2 + 9 = 7 \).

Step4: Substitute \( x = 3 \)

Substitute \( x = 3 \) into \( y = -x + 9 \), we get \( y = -3 + 9 = 6 \).

Answer:

The completed table for \( y = -x \) is:

\( x \)	\( y \)
-2	2
0	0
3	-3

Problem 4: \( y = 2x - 4 \)