Verified Answer :

calculusxy

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
m stands for the slope
y_1 = 2
y_2 = 3
x_1 = -1
x_2 = 4

\(\frac{3-2}{4 - (-1)} = \frac{1}{5}\)

Slope: 1/5

Answer:  the correct option is

(C) \(\dfrac{1}{5}.\)

Step-by-step explanation:  We are given to find the slope of a line that contain the points (-1, 2) and (4, 3).

We know that

the slope of a line containing 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

\(m=\dfrac{3-2}{4-(-1)}=\dfrac{1}{4+1}=\dfrac{1}{5}.\)

Thus, the slope of the given line is \(\dfrac{1}{5}.\)

Option (C) is CORRECT.

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