Respuesta :

Cascade

Answer: [tex]-\frac{8}{5}[/tex]

Remember: RISE/RUN (y/x). Lines that are increasing have a positive slope, and lines that are decreasing have a negative slope.

You can find the slope in two ways:

1. Useful if the line is graphed: count the units between 2 points on the line.

  • Let's use the points (-1, 4) and (4, -4).
  • (-1, 4) is 8 units higher than (4, -4) and 5 units to the left of (4, -4).
  • Because the line is decreasing, the slope is negative.
  • Therefore, the slope is [tex]-\frac{8}{5}[/tex].

2. Useful if the line is not graphed: find the difference between the y-coordinate values divided by the difference of the x-coordinate values.

  • Let's use the points (-1, 4) and (4, -4).
  • [tex]\frac{-4 - 4}{4 - (-1)} = \frac{-8}{5}[/tex]
  • Therefore, the slope is [tex]-\frac{8}{5}[/tex].
calculista

Answer:

[tex]m=-\frac{8}{5}[/tex]

Step-by-step explanation:

Let

[tex]A(-1,4),B(4,-4)[/tex]

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{-4-4}{4+1}[/tex]

[tex]m=\frac{-8}{5}[/tex]

[tex]m=-\frac{8}{5}[/tex]

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