Answer: -5/4x+7
Explanation:
1)First find the slope passing through (8,-3) (4,2) using this formula
y2-y1/x2-x1 (this: 2--3/4-2) to get -1.25 or -5/4. this is your slope.
2) Then to get the y-intercept choose one of your points (doesn't matter which I chose (8,3) but you can choose any of the two) and create this formula y=mx+b.
3) Input your x and y from the point you chose and your slope (m) to create this -3=(8)+b.
4) Now solve for b. This should get you Postitve 7 (REMEMBER it is VERY IMPORTANT if you result is negative or positive. One mess up could make the whole thing wrong.)
5) Finally take your slope and y-intercept and put it together to get:
y=-5/4x+7
Follow those steps every time you get a problem like this and it should help :)