Question

A line has a slope of Negative three-fifths. Which ordered pairs could be points on a parallel line? Select two options.

(–8, 8) and (2, 2)
(–5, –1) and (0, 2)
(–3, 6) and (6, –9)
(–2, 1) and (3, –2)
(0, 2) and (5, 5)

Answer 1

Answer:

(–8, 8) and (2, 2) & (–2, 1) and (3, –2)

Step-by-step explanation:

m = (2-8)/(2-(-8)) = -6/10 = -⅗

m = (-2-1)/(3-(-2)) = -⅗

Answer 2

The 2 options that represent the coordinates that give a slope of -3/5 are;

Option A;(–8, 8) and (2, 2)

Option D;(–2, 1) and (3, –2)

We are told that the slope of the line is -3/5.

Thus, m = -3/5

Formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

A) At (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

m = -6/10

m = -3/5

B) At (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

C) At (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

m = -15/9

m = -5/3

D) At (–2, 1) and (3, –2);

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

m = -3/5

E) At (0, 2) and (5, 5);

m = (5 - 2)/(5 - 0)

m = 3/5

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