Question

PLEASE !! HELP what is the slope of the line that contains the points ( -2, - 7/2) and (4,-4)

Answer 1

Answer: -1/12

Work Shown:

-7/2 = -3.5

The two given points are (-2,-3.5) and (4,-4)

Let's use the slope formula.

`(x_1,y_1) = (-2,-3.5) \text{ and } (x_2,y_2) = (4,-4)\\\\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 = (-4 - (-3.5))/(4 - (-2))\\\\m = (-4 + 3.5)/(4 + 2)\\\\m = (-0.5)/(6)\\\\m = (-1/2)/(6)\\\\m = (-1/2)/(6/1)\\\\m = (-1)/(2)/(6)/(1)\\\\m = (-1)/(2)*(1)/(6)\\\\m = -(1)/(12)`

The slope is -1/12

It means "go down 1 unit, then go to the right 12 units".

You can use a tool like GeoGebra to confirm the answer is correct.