C) 8/3
y2-y1/x2-x1
(6/2 , 2/3) (2 1/2 , -2/3)
x1= 6/2 (3)
y1= 2/3 (0.66)
x2= 2 1/2 (2.5)
y2= -2/3 (-0.66)
First, plug in the numbers into the slope equation. (Also, to make it easier, I have converted the fractions in decimals)
-0.66 - 0.66 / 2.5 - 3
Simplify
-0.66 - 0.66 / 2.5 - 3
-1.33 / -0.5
Now, since both sides are negative, the result is a positive.
-1.33 / -0.5 ---> 1.33/0.5
Divide the numbers.
1.33/0.5 --> 2.66
Finally, convert the decimal to a fraction.
2.66 --> 8/3
And there you have it!
Your answer is C) 8/3.
Hope this helps! :)