Please help me with my math test review sheet;)

There's a couple of ways you can solve this. I'll show you the way I prefer, but your mileage may vary.

First (and this is true in every method), to find the equation of a line you absolutely need the slope. They'll either give you the slope or, like in this case, they'll give you two points. With two points you find the slope with this equation:

m=(y_{2}-y_{1})/(x_{2}-x_{1})

Or, colloquially:

m= Rise/Run

Don't worry about which of your x's is x_{1} or which is x_{2}. It's arbitrary. The important point is that you be consistent. (3-(-5))/(0-3) is the same as ((-5)-3)/(3-0). Your slope here is -8/3.

Now, using my method, let's plug our slope into the equation for slope-intercept:

y=mx+b becomes y=(-8/3)x+b

We just need to find B. Pick either of the two points you're given (I'm going to go with (0,3) because it has a 0 which makes the math easier) and plug the numbers in and solve for B.

3=(-8/3)(0) + b

b=3

Since b=3 we can plug that number in *for* b, giving us the equation

y=(-8/3)x+3.

If you have time on your test, plug in both points into this equation to confirm it comes out true.

3=(-8/3)0+3=3

-5=(-8/3)(3)+3 = -5