Question

How do you find the slope given (7,9) and (1,1)?

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)(1) - color(blue)(9))/(color(red)(1) - color(blue)(7)) = (-8)/-6 = (-2 xx 4)/(-2 xx 3) = (color(red)(cancel(color(black)(-2))) xx 4)/(color(red)(cancel(color(black)(-2))) xx 3) = 4/3`