Find the slope of the line that passes through the pair of points. (-5.5, 6.1), (-2.5, 3.1)

Solution:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

The slope of a line which passess through (-5.5, 6.1) and (-2.5, 3.1) can be found using the formula.

m = (y₂ - y₁)/ (x₂ - x₁)

Where (x₁, y₁) and (x₂, y₂) are the two points on the line

Substituting the values, we get

m = (3.1 - 6.1)/(-2.5 + 5.5)

By further calculation,

m = -3/3

So we get,

m = -1

Therefore, the slope of the line is -1.

Find the slope of the line that passes through the pair of points. (-5.5, 6.1), (-2.5, 3.1)

Summary:

The slope of the line that passes through the pair of points (-5.5, 6.1) and (-2.5, 3.1) is -1.