Answer:
The slope of the line is -1
Step-by-step explanation:
Slope of a Line
Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table in the image, we select the points (1,4) (3,2). The slope is:
[tex]\displaystyle m=\frac{2-4}{3-1}=\frac{-2}{2}=-1[/tex]
Now select two other points like (5,0) (7,-2)
[tex]\displaystyle m=\frac{-2-0}{7-5}=\frac{-2}{2}=-1[/tex]
Following the same procedure with any other pair of points, we'll get the very same result:
The slope of the line is -1
