Question

How do you find the slope of a line passing through f (-4) =1 and f (-1) =-3?

Answer 1

See the entire solution process 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)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

In this format the first point is (-4, 1) and the second point is (-1, -3).

Substituting the values from the points in the problem gives:

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