Respuesta :

Slope is rise over run so it would be -4 over 2 which you simplify to -2
Lanuel

The slope of the line passing through the given points (4, 8) and (2, 12) is -2.

Given the following points:

  • Points on the x-axis = (4, 2).
  • Points on the y-axis = (8, 12)

To find the slope of the line passing through the given points (4, 8) and (2, 12):

The slope of a line is simply the gradient of a line and it describes both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the following 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 given points into the formula, we have;

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

Slope, m = -2.

Therefore, the slope of the line passing through the given points is -2.

Read more: https://brainly.com/question/18123312

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