Question

Slope that passes through (-5.5,6.1),(-2.5,3.1)?

Answer 1

See a solution process below:

Explanation:

The formula for find the slope of a line is:

`m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

Where `(color(blue)(x_1), color(blue)(y_1))` and `(color(red)(x_2), color(red)(y_2))` are two points on the line.

Substituting the values from the points in the problem gives:

`m = (color(red)(3.1) - color(blue)(6.1))/(color(red)(-2.5) - color(blue)(-5.5)) = (color(red)(3.1) - color(blue)(6.1))/(color(red)(-2.5) + color(blue)(5.5)) = (-3)/3 = -1`