determine which pair of points has a positive slope.

(5, –4), (–2, 1)

(6, –10), (2, 10)

(–10, –2), (6, 6)

(5, –1), (–6, 6)

(–10, –2), (6, 6)

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

Verify each case

case 1) (5, –4), (–2, 1)

substitute in the formula

 ----> the slope is negative

case 2) (6, –10), (2, 10)

substitute in the formula

 ----> the slope is negative

case 3) (–10, –2), (6, 6)

substitute in the formula

 ----> the slope is positive

case 4) (5, –1), (–6, 6)

substitute in the formula

  ----> the slope is negative

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: