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Which of these pairs of points defines a line with a slope of -1?
A. (3, 10) and (3, 5)
B. (3, 10) and (5, 3)
C. (10, 3) and (15, -2)
D. (10, 3) and (3, 5)

Respuesta :

ganjilaya2019

Answer:

C

Step-by-step explanation:

A. (10-5)÷(3-3) = 5÷0 = Undefined

B. (10-3)÷(3-5) = 7÷-2 = -3.5

C. (3-(-2))÷(10-15) = 5÷-5 = -1

D. (3-5)÷(10-3) = -2÷7 = -²/7

Line slope calculation formula: The difference of the second components is divided by the difference of the first components.

semsee45

Answer:

C

Step-by-step explanation:

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

where [tex]\mathsf{(x_1,y_1)}[/tex] and [tex]\mathsf{(x_2,y_2)}[/tex] are points on the line

A.

[tex]\mathsf{slope=\dfrac{5-10}{3-3}=\dfrac{-5}{0}}[/tex]

slope is undefined

B.

[tex]\mathsf{slope=\dfrac{3-10}{5-3}=-\dfrac72}[/tex]

C.

[tex]\mathsf{slope=\dfrac{-2-3}{15-10}=-1}[/tex]

D.

[tex]\mathsf{slope=\dfrac{5-3}{3-10}=-\dfrac27}[/tex]

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