QUESTION IMAGE
Question
- $y = 4x - 6$
| $x$ | $y$ |
|---|---|
Step1: Choose x-values for calculation
We select simple integer values for \(x\): \(0, 1, 2, 3\)
Step2: Calculate y for x=0
Substitute \(x=0\) into \(y=4x-6\):
\(y = 4(0) - 6 = -6\)
Step3: Calculate y for x=1
Substitute \(x=1\) into \(y=4x-6\):
\(y = 4(1) - 6 = -2\)
Step4: Calculate y for x=2
Substitute \(x=2\) into \(y=4x-6\):
\(y = 4(2) - 6 = 2\)
Step5: Calculate y for x=3
Substitute \(x=3\) into \(y=4x-6\):
\(y = 4(3) - 6 = 6\)
Step6: Plot points on the grid
The points to plot are \((0, -6)\), \((1, -2)\), \((2, 2)\), \((3, 6)\); connect them to form a straight line.
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Completed Table:
| \(x\) | \(y\) |
|---|---|
| 1 | -2 |
| 2 | 2 |
| 3 | 6 |
Graph Instructions:
Plot the points \((0, -6)\), \((1, -2)\), \((2, 2)\), \((3, 6)\) on the coordinate grid, then draw a straight line passing through all these points (extending beyond them in both directions).