If the slope of the line passing through the points (2, 5) and (k, 3) is 2, then the value of k is

1. -2

2. -1

3. 1

4. 2

Slope of the line passing through (x₁, y₁) and (x₂, y₂) is given by,

$= \dfrac{y$2 - y1}{x2 - x1}

Given, slope of the line passing through the points (2, 5) and (k, 3) is 2.

$\therefore \dfrac{3- 5}{k - 2} = 2 \\[1em] \Rightarrow -2 = 2(k - 2) \\[1em] \Rightarrow -2 = 2k - 4 \\[1em] \Rightarrow 2k = -2 + 4 \\[1em] \Rightarrow 2k = 2 \\[1em] \Rightarrow k = 1.$

Hence, Option 3 is the correct option.