a)
For the first line of the table, we have the value of y and we want to find the value of x when y is equal to 5, our equal is
[tex]4x-2y=8[/tex]
Let's put y equal to zero and solve it for x
[tex]\begin{gathered} 4x-2\cdot0=8 \\ \\ 4x=8 \\ \\ x=\frac{8}{4}=2 \end{gathered}[/tex]
Then when y = 0 we have x = 2.
Now let's solve it for x equal to zero
[tex]\begin{gathered} 4x-2y=8 \\ \\ 4\cdot0-2y=8 \\ \\ -2y=8 \\ \\ y=\frac{-8}{2}=-4 \end{gathered}[/tex]
When when x = 0 we have y = -4. Now we can complete the table!
And the points on the graph will be
