Answer:
The correct answer is option A.
Step-by-step explanation:
Two points are given :[tex](x_1,y_1)(x_2,y_2)[/tex]:(-5.5, 6.1), (-2.5, 3.1)
Slope from the two point is determined by the formula :
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]slope=\frac{3.1-(6.1)}{(-2.5)-(-5.5)}=\frac{3.0}{-3.0}=-1[/tex]
The slope of the line that passes through the pair of points is -1.
Hence, the correct answer is option A.