This is for a geometry class?? Sounds more like Algebra 2 ormaybethe beginning of a pre-calc/college algebra course. Nonetheless, follow below:

You want the equation ofanyline that goes through (-4, 2).

Let's make it simple: set up y = mx + b and we can even for your own convenience let m be 1. Thus, y = x + b is appropriate. Lets plug in -4 as our x-coord and 2 as our y-cord. We now have: 2 = -4 + b

In this case, (and there are infinitely many), 2 = -4 + 6, so:

y = x + 6 is an equation that goes through (-4, 2).

-Andy