Respuesta :

Answer:  -2

Work Shown

[tex]\text{Given Points: }(x_1,y_1) = (-10,4) \text{ and } (x_2,y_2) = (-12,8)\\\\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 = \frac{8 - 4}{-12 - (-10)}\\\\m = \frac{8 - 4}{-12 + 10}\\\\m = \frac{4}{-2}\\\\m = -2\\\\[/tex]

The slope is -2

Extra info:

  • A slope of -2 = -2/1 slope represents going down 2 and right 1. This is because rise = -2 and run = 1.
  • The equation of this line is y = -2x - 16