Question

write the equation in function form (solve for y) and then graph the linear equation using a table of values

Answer 1

The ordered pairs are
`(-1,6)` ,
`(0,8)` and
`(1,10)`

Step-by-step explanation:

The given equation is
`-2x+y=8`

We need to determine the table of values for y and graph the equation using these table of values.

Let us rewrite the equation in function form.

Thus, we have,

`y=8+2x`

Writing the above equation in function form, we have,

`f(x)=8+2x`

Now, we shall determine the values for y.

For
`x=-1` ,

`y=8+2(-1)=8-2=6`

Thus, the ordered pair is
`(-1,6)`

For
`x=0` ,

`y=8+2(0)=8`

Thus, the ordered pair is
`(0,8)`

For
`x=1` ,

`y=8+2(1)=8+2=10`

Thus, the ordered pair is
`(1,10)`

Now, we shall plot the points in the graph.

The image of the graph is attached below: