Respuesta :

Answer:

[tex]-\frac{12}{19}[/tex]

Step-by-step explanation:

Hello!

We can use the slope formula to calculate the slope.

The Slope formula is [tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex], where m is the slope, and the x's and y's are the x and y coordinates from the given points.

Given the points: (3,-4) and (-16,8):

Find the Slope

  • [tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]
  • [tex]m = \frac{8-(-4)}{-16-3}\\[/tex]
  • [tex]m = -\frac{12}{19}\\[/tex]

The slope is -12/19.

[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{8 - ( - 4)}{ - 16 - 3} \\ m = \frac{8 + 4}{ - 19} \\ m = \frac{12}{ - 19} \\ m = - \frac{12}{19} [/tex]

I INDICATED THE FORMULA TO USE WHEN FINDING THE GRADIENT/SLOPEOF THE LINE.