Step-by-step explanation:
For every increase in the x-value by 1,
the y-value decreases by -2.
(From 3 to 1 and from 1 to -1)
Hence, slope of line k
= Rise/Run = (-2)/1 = -2. (A)
Using it's formula, it is found that the slope of line k is of -2, hence option A is correct.
Given two points (x,y) on a line, the slope is given by the change in y divided by change in x.
In this problem, two of the points are: (1,3) and (2,1).
Hence, applying the division:
[tex]m = \frac{1 - 3}{2 - 1} = -\frac{2}{1} = -2[/tex]
The slope of the line is of -2, hence option A is correct.
A similar problem, in which the objective is also finding the slope, is given at https://brainly.com/question/14829050
