Question

How do you find the slope given (2,1) (-4,10)?

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