Worksheet Works Graphing Linear Equations 1 | PDF | Algorithms ... - Free Printable

Let’s solve each equation by filling in the table and then graphing the line. We’ll go one by one.

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(1) y = 4x

We plug in x-values to find y:

- If x = -2 → y = 4*(-2) = -8
- If x = -1 → y = 4*(-1) = -4
- If x = 0 → y = 4*0 = 0
- If x = 1 → y = 4*1 = 4

Table for (1):
```
x | y
----|----
-2 | -8
-1 | -4
0 | 0
1 | 4
```

Plot these points: (-2,-8), (-1,-4), (0,0), (1,4). Draw a straight line through them.

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(2) y = x + 8

Plug in x-values:

- x = -2 → y = -2 + 8 = 6
- x = -1 → y = -1 + 8 = 7
- x = 0 → y = 0 + 8 = 8
- x = 1 → y = 1 + 8 = 9

Table for (2):
```
x | y
----|----
-2 | 6
-1 | 7
0 | 8
1 | 9
```

Points: (-2,6), (-1,7), (0,8), (1,9). Connect with a straight line.

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(3) y = (1/2)x - 4

Note: (1/2)x means half of x.

- x = -2 → y = (1/2)*(-2) - 4 = -1 - 4 = -5
- x = -1 → y = (1/2)*(-1) - 4 = -0.5 - 4 = -4.5
- x = 0 → y = 0 - 4 = -4
- x = 1 → y = (1/2)(1) - 4 = 0.5 - 4 = -3.5

Table for (3):
```
x | y
----|------
-2 | -5
-1 | -4.5
0 | -4
1 | -3.5
```

Points: (-2,-5), (-1,-4.5), (0,-4), (1,-3.5). Draw line.

*(Note: You can also use fractions if preferred: -4.5 = -9/2, etc., but decimals are fine for graphing.)*

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(4) y = (1/2)x + 1

- x = -2 → y = (1/2)*(-2) + 1 = -1 + 1 = 0
- x = -1 → y = (1/2)*(-1) + 1 = -0.5 + 1 = 0.5
- x = 0 → y = 0 + 1 = 1
- x = 1 → y = 0.5 + 1 = 1.5

Table for (4):
```
x | y
----|------
-2 | 0
-1 | 0.5
0 | 1
1 | 1.5
```

Points: (-2,0), (-1,0.5), (0,1), (1,1.5). Draw line.

---

(5) y = -x - 8

- x = -2 → y = -(-2) - 8 = 2 - 8 = -6
- x = -1 → y = -(-1) - 8 = 1 - 8 = -7
- x = 0 → y = 0 - 8 = -8
- x = 1 → y = -1 - 8 = -9

Table for (5):
```
x | y
----|----
-2 | -6
-1 | -7
0 | -8
1 | -9
```

Points: (-2,-6), (-1,-7), (0,-8), (1,-9). Draw line.

---

(6) y = -(1/2)x - 8

-(1/2)x means negative half of x.

- x = -2 → y = -(1/2)*(-2) - 8 = 1 - 8 = -7
- x = -1 → y = -(1/2)*(-1) - 8 = 0.5 - 8 = -7.5
- x = 0 → y = 0 - 8 = -8
- x = 1 → y = -(1/2)(1) - 8 = -0.5 - 8 = -8.5

Table for (6):
```
x | y
----|-------
-2 | -7
-1 | -7.5
0 | -8
1 | -8.5
```

Points: (-2,-7), (-1,-7.5), (0,-8), (1,-8.5). Draw line.

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✔ All tables filled correctly. Now you would plot each set of 4 points on their respective coordinate grids and draw a straight line through them.

Final Answer:
All tables completed as above; lines should be drawn through the plotted points for each equation.