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6. $y = 4x - 6$ | $x$ | $y$ | | --- | --- | | | | | | | | | | | | |

Question

  1. $y = 4x - 6$
$x$$y$

Explanation:

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.

Answer:

Completed Table:

\(x\)\(y\)
1-2
22
36

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).