The ordered pairs are [tex](-1,6)[/tex] , [tex](0,8)[/tex] and [tex](1,10)[/tex]
Explanation:
The given equation is [tex]-2x+y=8[/tex]
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,
[tex]y=8+2x[/tex]
Writing the above equation in function form, we have,
[tex]f(x)=8+2x[/tex]
Now, we shall determine the values for y.
For [tex]x=-1[/tex] ,
[tex]y=8+2(-1)=8-2=6[/tex]
Thus, the ordered pair is [tex](-1,6)[/tex]
For [tex]x=0[/tex] ,
[tex]y=8+2(0)=8[/tex]
Thus, the ordered pair is [tex](0,8)[/tex]
For [tex]x=1[/tex] ,
[tex]y=8+2(1)=8+2=10[/tex]
Thus, the ordered pair is [tex](1,10)[/tex]
Now, we shall plot the points in the graph.
The image of the graph is attached below:
