Question

Find the slope of the line through the two points (1,3), (-14,13)

Answer 1

Answer: -2/3

Work Shown:

`(x_1,y_1) = (1,3) \text{ and } (x_2,y_2) = (-14,13)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (13 - 3)/(-14 - 1)\\\\m = (10)/(-15)\\\\m = -(2)/(3)\\\\`

A slope of -2/3 means "go down 2, then right 3".

slope = rise/run = -2/3

rise = -2, run = 3