Question

How do you find the slope given (-4,-2) (2,6)?

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)(6) - color(blue)(-2))/(color(red)(2) - color(blue)(-4))`

`m = (color(red)(6) + color(blue)(2))/(color(red)(2) + color(blue)(4))`

`m = 8/6 = (2 xx 4)/(2 xx 3) = (cancel(2) xx 4)/(cancel(2) xx 3) = 4/3`