Respuesta :

Milliecartier

Answer:

The slope of the line can be determined from the gradient equation, rise (y axis)/ run (x-axis)

Hence let (-1, 8) be A and (2, -4) be B. The slope from A to B is (-4-8)/(2-(-1))= (-12)/3= -4

Hence the gradient/ slope of the line is -4.

Step-by-step explanation:

Lanuel

The slope of the line passing through the given points (-1, 8) and (2, -4) is -4.

Given the following points:

  • Points on the x-axis = (-1, 2)
  • Points on the y-axis = (8, -4)

To find the slope of the line passing through the given points (-1, 8) and (2, -4):

The slope of a line refers the gradient of a line and it represents both the direction and steepness of an equation of a straight line.  

Mathematically, the slope of a line is calculated by using this formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substituting the points into the formula, we have;

[tex]Slope. \;m = \frac{-4 \;- \;8}{2\; - \;[-1]}\\\\Slope. \;m = \frac{-12}{2\; +\;1}\\\\Slope. \;m = \frac{-12}{3}[/tex]

Slope, m = -4

Therefore, the slope of the line passing through the given points is -4.

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