Question

VThe slope of the line through (-1, 2) and (4, -5) is

Answer 1

Answer: -7/5

Work Shown:

`(x_1,y_1) = (-1,2) \text{ and } (x_2,y_2) = (4,-5)\\\\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 = (-5 - 2)/(4 - (-1))\\\\m = (-5 - 2)/(4 + 1)\\\\m = -(7)/(5)\\\\`

A slope of -7/5 means that we go down 7 units and then to the right 5 units.