Question

How do you determine if 5x-7y=14 is a function?

Answer 1

You can type that function in a graphing calculator and either see the graph or the table. If you put that function in a table, then you have to make sure that x isn't repeating itself. If you look at the graph, then you have to do the vertical line test

Answer 2

one way is to graph it and do the vertical line test
it is not a function if we can draw a vertical line in the graph that passes through 2 points of the graph

if we graph this function, we see there is no place we can draw a vertical line and hit the line twice