Question

Determine which pair of points has a negative slope.

a
(-10, -3), (-7, 6)
c. (7, 7), (-8, 1)
b. (5,2), (-9,-10)
d. (2,9), (-3,-1)

Answer 1

We conclude that all the pairs of points have positive slopes.

Thus, there is NO pair of points that has a negative slope.

Explanation:

a)

Determining the slope between (-10, -3), (-7, 6)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(-10,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-7,\:6\right)`

`m=(6-\left(-3\right))/(-7-\left(-10\right))`

`m=3`

b)

Determining the slope between (7, 7), (-8, 1)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`m=(1-7)/(-8-7)`

`m=(2)/(5)`

c)

Determining the slope between (5,2), (-9,-10)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`m=(-10-2)/(-9-5)`

`m=(6)/(7)`

d)

Determining the slope between (2,9), (-3,-1)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`m=(-1-9)/(-3-2)`

`m=2`

We conclude that all the pairs of points have positive slopes.

Thus, there is NO pair of points that has a negative slope.