We are given the graph of a line. We notice that the line goes through the origin, therefore, the equation must be of the following form:
[tex]y=mx[/tex]
Replacing the point (4, 100) we get:
[tex]100=m(4)[/tex]
Solving for "m" by dividing by 4 to both sides:
[tex]\frac{100}{4}=m[/tex]
Solving the operation:
[tex]25=m[/tex]
Replacing the value of "m":
[tex]y=25x[/tex]
Replacing the value of x = 12:
[tex]y=25(12)[/tex]
Solving the operation:
[tex]y=300[/tex]
Now for the graph, we use the same general form:
[tex]y_2=mx[/tex]
We replace the point (2, 60) we get:
[tex]60=m(2)[/tex]
Solving for "m":
[tex]\begin{gathered} \frac{60}{2}=m \\ 30=m \end{gathered}[/tex]
Replacing the value of "m":
[tex]y_2=30x[/tex]
Replacing x = 12:
[tex]\begin{gathered} y_2=(30)(12) \\ y_2=360 \end{gathered}[/tex]
Therefore, the value of "y" is 60 more on the graph in comparison with the table.