ANSWER
The slope is
[tex] - 1[/tex]
EXPLANATION
The slope of the line that passes through,
[tex](-5.5,6.1),(-2.5,3.1)[/tex]
can be found using the formula,
[tex]slope = \frac{y_2-y_1}{x_2-x_1} [/tex]
So we let,
[tex](x_1,y_1)=(-5.5,6.1)[/tex]
and
[tex](x_2,y_2)=(-2.5,3.1)[/tex]
We substitute them into the formula to get,
[tex]slope = \frac{ 3.1 - 6.1}{- 2.5 - - 55} [/tex]
This gives us,
[tex]slope = \frac{ 3.1 - 6.1}{- 2.5 + 55} [/tex]
We simplify to get,
[tex]slope = \frac{ - 3.0}{3.0} [/tex]
[tex]slope = - 1[/tex]
