Answer:
Explanation:
To make the table of values, we first write the equation given in slope-intercept form as it is convenient.
[tex]4x+2y=8[/tex]subtracting 4x from both sides gives
[tex]2y=8-4x[/tex]then dividing both sides by 2 gives
[tex]y=\frac{8-4x}{2}[/tex][tex]y=4-2x[/tex]Now we evaluate the function at x = -1, 1 , 0, 1 ,2, 3
At x = -1
[tex]\begin{gathered} y=4-2(-1) \\ \boxed{y=6} \end{gathered}[/tex]At x = 0,
[tex]\begin{gathered} y=4-2\cdot0 \\ \boxed{y=4} \end{gathered}[/tex]At x = 1
[tex]\begin{gathered} y=4-2\cdot1 \\ \boxed{y=2} \end{gathered}[/tex]At x = 2
[tex]\begin{gathered} y=4-2\cdot2 \\ \boxed{y=0} \end{gathered}[/tex]At x = 3
[tex]\begin{gathered} y=4-2\cdot3 \\ \boxed{y=-2} \end{gathered}[/tex]Hence we have the table
x | y
-1 | 6
0 | 4
1 | 2
2 | 0
3 | -2
