Question

Create a table of value for the rule give using the four numbers supplied for x.

Answer 1

To determine the values for the table we have to plug the value given for x in the expression:

`(1)/(4)x-3`

and make the operations to get the corresponding value.

If x=0, then we have:

`(1)/(4)(0)-3=0-3=-3`

Then the corresponding value is -3.

With this procedure in mind we get the table:

Once we know this we have to compare with the values for the graphs. First we notice that when x=0 the y value have to be -3; the only lines that fullfill this requirement are the blue and orange lines. Finally to decide between this two we look at the second row on our table, in this case if x=8 then the y=-1. The only lines that fullfills this is the blue one, therefore the blue line is the graph of the expression.