Question

Please help

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)

Answer 1

(–10, –2), (6, 6)

Explanation:

we know that

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

`m=(y2-y1)/(x2-x1)`

Verify each case

case 1) (5, –4), (–2, 1)

substitute in the formula

`m=(1-(-4))/(-2-5)`

`m=(1+4)/(-2-5)`

`m=(5)/(-7)`

`m=-(5)/(7)` ----> the slope is negative

case 2) (6, –10), (2, 10)

substitute in the formula

`m=(10-(-10))/(2-6)`

`m=(10+10)/(2-6)`

`m=(20)/(-4)`

`m=-5` ----> the slope is negative

case 3) (–10, –2), (6, 6)

substitute in the formula

`m=(6-(-2))/(6-(-10))`

`m=(6+2)/(6+10)`

`m=(8)/(16)`

`m=0.5` ----> the slope is positive

case 4) (5, –1), (–6, 6)

substitute in the formula

`m=(6-(-1))/(-6-5)`

`m=(6+1)/(-6-5)`

`m=(7)/(-11)`

`m=-(7)/(11)` ----> the slope is negative