Question

what is the slope of the line that passes through the pair of points (-5/3 -1) and (-2 9/2)

choices :
2/33
-2/33
33/2
-33/2

Answer 1

Here's the formula for the slope between two points (a,b) and (c,d):

\[\textrm{slope} = \frac{d-b}{c-a}\]

So, plug the numbers in:

\[\textrm{slope} = \frac{d-b}{c-a} = \frac{\frac{9}{2}-(-1)}{(-2)-(-\frac{5}{3})} = \frac{\frac{11}{2}}{-\frac{1}{3}} = -\frac{33]{2}\]

-33/2, or Choice D. Tell me if that all make sense.

Answer 2

Uh oh, bad equation, lemme fix that.

Answer 3

\[\textrm{slope} = \frac{d-b}{c-a} = \frac{\frac{9}{2}-(-1)}{(-2)-(-\frac{5}{3})} = \frac{\frac{11}{2}}{-\frac{1}{3}} = -\frac{33}{2}\]

Answer 4

There, much better.