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A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Select two options.

A - (–2, 0) and (2, 5)

B - (–4, 5) and (4, –5)

C - (–3, 4) and (2, 0)

D - (1, –1) and (6, –5)

E - (2, –1) and (10, 9)

Respuesta :

frika

Answer:

A and E

Step-by-step explanation:

A line has a slope of -4/5, then a perpendicular line has a slope 5/4, because

[tex]-\dfrac{4}{5}\cdot \dfrac{5}{4}=-1[/tex]

Find the slopes of the lines in all options:

A. True

[tex]\dfrac{5-0}{2-(-2)}=\dfrac{5}{4}[/tex]

B. False

[tex]\dfrac{-5-5}{4-(-4)}=-\dfrac{5}{4}[/tex]

C. False

[tex]\dfrac{0-4}{2-(-3)}=-\dfrac{4}{5}[/tex]

D. False

[tex]\dfrac{-5-(-1)}{6-1}=-\dfrac{4}{5}[/tex]

E. True

[tex]\dfrac{9-(-1)}{10-2}=\dfrac{5}{4}[/tex]

kaizeooi

Answer:

C

Step-by-step explanation:

=(0-4)/(2+3)

=-4/5

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