If the points (1,3), (2, 1), (3,-1). (4.-3) lie on line k, then the slope of line k is -2
Option D is the correct choice
The points that lie on the line k are:
(1,3), (2, 1), (3,-1). (4.-3), and (5,-5).
We can find the slope of the line k by picking any two points on the line
The slope m of a line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
On the line k, let us select the points (1,3) and (2, 1)
x₁ = 1, y₁ = 3, x₂ = 2, y₂ = 1
[tex]m = \frac{1-3}{2-1} \\\\m= \frac{-2}{1}\\\\m= -2[/tex]
Therefore, the slope of the line k is -2
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