To find whether or not the set is a solution, we substitute the numbers in with the x and y values.
[tex]x=2[/tex]
[tex]y=13[/tex]
Which gives us...
[tex]13=4(2)+5[/tex]
Now we ask ourselves, does this satisfy the equation?
[tex]13=13[/tex]
Which it does. This tells us that the point (2,13) is on the line [tex]y=4x+5[/tex]