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

Answer:

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

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

Step-by-step explanation:

a)

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

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{6-\left(-3\right)}{-7-\left(-10\right)}$

$m=3$

b)

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

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{1-7}{-8-7}$

$m=\frac{2}{5}$

c)

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

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-10-2}{-9-5}$

$m=\frac{6}{7}$

d)

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

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-1-9}{-3-2}$

$m=2$

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

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