Question

What is the slope intercept form of (3,3) (7,-1)

Answer 1

Slope intercept form follows this general equation...
$y=mx+b$
With this information you have posted, all you can do is find slope, your m. To calculate for slope, you need to use this following equation...
$m= \frac{y_2-y_1}{x_2-x_1}$
Then, you pick one of your coordinate pairs to be 1 and the other to be 2. I will choose the first coordinate pair as 1, so...
$m=\frac{-1-3}{7-3} =-1$
You plug in -1 into your slope formula...
$y=-1x+b$
Now, to find your y-intercept, or b, you must plug in one of your coordinate pairs. In that equation, you may plug in the values (3,3), so you'll have...
$3=-1(3)+b$
Just solve for b and you will be done