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Verified Answer :

texaschic101

slope = (y2 - y1) / (x2 - x1)
(2,-1)(0,4)
slope = (4 - (-1) / (0 - 2) = (4 + 1) / -2 = 5/-2 = -5/2

Answer:  The correct option is (D) \(-\dfrac{5}{2}.\)

Step-by-step explanation:  We are given to find the slope of the line that contain the points x(2, -1) and y(0, 4).

We know that

the slope of a line that contain the points (a, b) and (c, d) is given by

\(m=\dfrac{d-b}{c-a}.\)

Therefore, the slope of the given line will be

\(m=\dfrac{4-(-1)}{0-2}=\dfrac{4+1}{-2}=-\dfrac{5}{2}.\)

Thus, the slope of the given line is \(-\dfrac{5}{2}.\)

Option (D) is CORRECT.

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