Question

What is the slope of the line passing through the following points: `(-3,-6) ; (-7,-5)`?

Answer 1

See the entire solution process and result below:

Explanation:

The slope can be found by using the formula: `m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

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

Substituting the values from the points in the problem gives:

`m = (color(red)(-5) - color(blue)(-6))/(color(red)(-7) - color(blue)(-3)) = (color(red)(-5) + color(blue)(6))/(color(red)(-7) + color(blue)(3)) = 1/-4 = -1/4`