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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)

User Agoldencom
by
8.3k points

1 Answer

2 votes

Answer:

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.

User Heinrich Apfelmus
by
8.3k points

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