Question

How do you find the slope given (9,6) (21,14)?

Answer 1

See a 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)(14) - color(blue)(6))/(color(red)(21) - color(blue)(9)) = 8/12 = (4 xx 2)/(4 xx 3) = (color(red)(cancel(color(black)(4))) xx 2)/(color(red)(cancel(color(black)(4))) xx 3) = 2/3`