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Writing a Linear Function from a Table — Easy Worksheet 2
Grade 8 · Whoobee Name: ____________________ Date: __________
Write an equation in the form y = mx + b for the function in each table.
How to solve
Find the slope m = (change in y) ÷ (change in x) using any two rows. Find the initial value b, the y-value when x = 0: read it from the table if x = 0 is there, otherwise work back to x = 0 using the rate of change. Then write y = mx + b.
Example
Write an equation for the function in the table.
| x | y |
|---|---|
| 0 | 1 |
| 1 | 3 |
| 2 | 5 |
| 3 | 7 |
Answer: y = 2x + 1
| x | y |
|---|---|
| 0 | 10 |
| 1 | 14 |
| 2 | 18 |
| 3 | 22 |
Not quite. The answer is
💡 Change in y = 14 − 10 = 4. Change in x = 1 − 0 = 1. Slope m = 4. The table shows x = 0 with y = 10, so b = 10. So y = 4x + 10.
✓ Correct!
Not quite. The answer is
💡 Change in y = 14 − 10 = 4. Change in x = 1 − 0 = 1. Slope m = 4. The table shows x = 0 with y = 10, so b = 10. So y = 4x + 10.
💡 How to solve: Writing a Linear Function from a Table
Find the slope m = (change in y) ÷ (change in x) using any two rows. Find the initial value b, the y-value when x = 0: read it from the table if x = 0 is there, otherwise work back to x = 0 using the rate of change. Then write y = mx + b.
Try a similar one
Write an equation for the function in the table.
| x | y |
|---|---|
| 0 | 2 |
| 1 | 4 |
| 2 | 6 |
| 3 | 8 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 0 | 2 |
| 1 | 3 |
| 2 | 4 |
| 3 | 5 |
Not quite. The answer is
💡 Change in y = 3 − 2 = 1. Change in x = 1 − 0 = 1. Slope m = 1. The table shows x = 0 with y = 2, so b = 2. So y = x + 2.
✓ Correct!
Not quite. The answer is
💡 Change in y = 3 − 2 = 1. Change in x = 1 − 0 = 1. Slope m = 1. The table shows x = 0 with y = 2, so b = 2. So y = x + 2.
💡 How to solve: Writing a Linear Function from a Table
Find the slope m = (change in y) ÷ (change in x) using any two rows. Find the initial value b, the y-value when x = 0: read it from the table if x = 0 is there, otherwise work back to x = 0 using the rate of change. Then write y = mx + b.
Try a similar one
Write an equation for the function in the table.
| x | y |
|---|---|
| 0 | 6 |
| 1 | 10 |
| 2 | 14 |
| 3 | 18 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 0 | 6 |
| 1 | 9 |
| 2 | 12 |
| 3 | 15 |
Not quite. The answer is
💡 Change in y = 9 − 6 = 3. Change in x = 1 − 0 = 1. Slope m = 3. The table shows x = 0 with y = 6, so b = 6. So y = 3x + 6.
✓ Correct!
Not quite. The answer is
💡 Change in y = 9 − 6 = 3. Change in x = 1 − 0 = 1. Slope m = 3. The table shows x = 0 with y = 6, so b = 6. So y = 3x + 6.
💡 How to solve: Writing a Linear Function from a Table
Find the slope m = (change in y) ÷ (change in x) using any two rows. Find the initial value b, the y-value when x = 0: read it from the table if x = 0 is there, otherwise work back to x = 0 using the rate of change. Then write y = mx + b.
Try a similar one
Write an equation for the function in the table.
| x | y |
|---|---|
| 0 | 2 |
| 1 | 5 |
| 2 | 8 |
| 3 | 11 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 0 | 6 |
| 1 | 7 |
| 2 | 8 |
| 3 | 9 |
Not quite. The answer is
💡 Change in y = 7 − 6 = 1. Change in x = 1 − 0 = 1. Slope m = 1. The table shows x = 0 with y = 6, so b = 6. So y = x + 6.
✓ Correct!
Not quite. The answer is
💡 Change in y = 7 − 6 = 1. Change in x = 1 − 0 = 1. Slope m = 1. The table shows x = 0 with y = 6, so b = 6. So y = x + 6.
💡 How to solve: Writing a Linear Function from a Table
Find the slope m = (change in y) ÷ (change in x) using any two rows. Find the initial value b, the y-value when x = 0: read it from the table if x = 0 is there, otherwise work back to x = 0 using the rate of change. Then write y = mx + b.
Try a similar one
Write an equation for the function in the table.
| x | y |
|---|---|
| 0 | 10 |
| 1 | 11 |
| 2 | 12 |
| 3 | 13 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 0 | 4 |
| 1 | 7 |
| 2 | 10 |
| 3 | 13 |
Not quite. The answer is
💡 Change in y = 7 − 4 = 3. Change in x = 1 − 0 = 1. Slope m = 3. The table shows x = 0 with y = 4, so b = 4. So y = 3x + 4.
✓ Correct!
Not quite. The answer is
💡 Change in y = 7 − 4 = 3. Change in x = 1 − 0 = 1. Slope m = 3. The table shows x = 0 with y = 4, so b = 4. So y = 3x + 4.
💡 How to solve: Writing a Linear Function from a Table
Find the slope m = (change in y) ÷ (change in x) using any two rows. Find the initial value b, the y-value when x = 0: read it from the table if x = 0 is there, otherwise work back to x = 0 using the rate of change. Then write y = mx + b.
Try a similar one
Write an equation for the function in the table.
| x | y |
|---|---|
| 0 | 8 |
| 1 | 11 |
| 2 | 14 |
| 3 | 17 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 0 | 4 |
| 1 | 8 |
| 2 | 12 |
| 3 | 16 |
Not quite. The answer is
💡 Change in y = 8 − 4 = 4. Change in x = 1 − 0 = 1. Slope m = 4. The table shows x = 0 with y = 4, so b = 4. So y = 4x + 4.
✓ Correct!
Not quite. The answer is
💡 Change in y = 8 − 4 = 4. Change in x = 1 − 0 = 1. Slope m = 4. The table shows x = 0 with y = 4, so b = 4. So y = 4x + 4.
💡 How to solve: Writing a Linear Function from a Table
Find the slope m = (change in y) ÷ (change in x) using any two rows. Find the initial value b, the y-value when x = 0: read it from the table if x = 0 is there, otherwise work back to x = 0 using the rate of change. Then write y = mx + b.
Try a similar one
Write an equation for the function in the table.
| x | y |
|---|---|
| 0 | 1 |
| 1 | 4 |
| 2 | 7 |
| 3 | 10 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 0 | 5 |
| 1 | 8 |
| 2 | 11 |
| 3 | 14 |
Not quite. The answer is
💡 Change in y = 8 − 5 = 3. Change in x = 1 − 0 = 1. Slope m = 3. The table shows x = 0 with y = 5, so b = 5. So y = 3x + 5.
✓ Correct!
Not quite. The answer is
💡 Change in y = 8 − 5 = 3. Change in x = 1 − 0 = 1. Slope m = 3. The table shows x = 0 with y = 5, so b = 5. So y = 3x + 5.
💡 How to solve: Writing a Linear Function from a Table
Find the slope m = (change in y) ÷ (change in x) using any two rows. Find the initial value b, the y-value when x = 0: read it from the table if x = 0 is there, otherwise work back to x = 0 using the rate of change. Then write y = mx + b.
Try a similar one
Write an equation for the function in the table.
| x | y |
|---|---|
| 0 | 3 |
| 1 | 4 |
| 2 | 5 |
| 3 | 6 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 0 | 8 |
| 1 | 10 |
| 2 | 12 |
| 3 | 14 |
Not quite. The answer is
💡 Change in y = 10 − 8 = 2. Change in x = 1 − 0 = 1. Slope m = 2. The table shows x = 0 with y = 8, so b = 8. So y = 2x + 8.
✓ Correct!
Not quite. The answer is
💡 Change in y = 10 − 8 = 2. Change in x = 1 − 0 = 1. Slope m = 2. The table shows x = 0 with y = 8, so b = 8. So y = 2x + 8.
💡 How to solve: Writing a Linear Function from a Table
Find the slope m = (change in y) ÷ (change in x) using any two rows. Find the initial value b, the y-value when x = 0: read it from the table if x = 0 is there, otherwise work back to x = 0 using the rate of change. Then write y = mx + b.
Try a similar one
Write an equation for the function in the table.
| x | y |
|---|---|
| 0 | 10 |
| 1 | 14 |
| 2 | 18 |
| 3 | 22 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Writing a Linear Function from a Table — Easy Worksheet 2
Write an equation in the form y = mx + b for the function in each table.