Options A and D are having a slope equal to -3/5.
Given that the slope of the line is -3/5.
That is, m = -3/5
We need to find which ordered pairs could be points on a parallel line.
The formula for slope between two coordinates is m = (y₂ - y₁)/(x₂ - x₁).
Now,
Using (–8, 8) and (2, 2);
m = (2 - 8)/(2 - (-8))
⇒m = -6/10
⇒m = -3/5
Using (–5, –1) and (0, 2);
m = (2 - (-1))/(0 - (-5))
⇒m = 3/5
Using (–3, 6) and (6, –9);
m = (-9 - 6)/(6 - (-3))
⇒m = -15/9
⇒m = -5/3
Using (–2, 1) and (3, –2);
⇒m = (-2 - 1)/(3 - (-2))
⇒m = -3/5
Using (0, 2) and (5, 5);
m = (5 - 2)/(5 - 0)
⇒m = 3/5
We know that the condition for parallel lines slope is [tex]m_{1} =m_{2}[/tex].
Therefore, options A and D are having a slope equal to -3/5.
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