Question

(4,-2) and (24,-17) finding the slope from points

Answer 1

Use the equation for the slope:
$slope = \frac{y2-y1}{x2-x1}$
The two points are equal to (x1, y1) and (x2, y2). 

So choose one of your points to be (x1, y1). Let's choose (4, -2). That means x1 = 4 and y1 = -2.
The other point would then be (x2, y2). So x2 = 24 and y2 = -17.

Now put these values in to the equation:
$Slope = \frac{-17-(-2)}{24-4} = \frac{-15}{20} = \frac{-3}{4}$

The slope is -3/4.