Answer:
slope of line segment XY is -2.
Step-by-step explanation:
From the given graph, we have
coordinate of the point X is (-1,3)
coordinate of the point y is (1,-1)
The slope of a line through the point [tex](x_1,y_1),(x_2,y_2)[/tex] is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, we have
[tex]x_1=-1,y_1=3,x_2=1,y_2=-1[/tex]
On substituting these value in the above formula of slope, we get
[tex]m=\frac{-1-3}{1+1}\\\\m=\frac{-4}{2}\\\\m=-2[/tex]
Therefore, the slope of line segment XY is -2.
