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Answer:
Slope = 2/3
Step-by-step explanation:
From the attached graph :
Point 1 = (-1, 4)
Point 2 = (-5, - 2)
x1 = - 1 ; x2 = - 5
y1 = 4 ; y2 = - 2
Slope = Rise / Run
Rise = (x2 - x1) = - 5 - (-1) = - 5 + 1 = - 4
Run = (y2 - y1) = - 2 - 4 = - 6
Hence,
Slope = - 4 / - 6 = 4 /6 = 2/3
Slope = 2/3
Well tan x has asymptotes every 90 degrees, or in radian mode, every pi divided by two. since cot is the inverse and the aymsptotes land on every 180 degrees, meaning the equation can be x ≠ \pi n, nEI