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 $(1,10)$

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: