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The slope of this line in  its simplest form is -3.

Given the following points:

  • Points on the x-axis = (7, 11)
  • Points on the y-axis = (6, -6)

To determine the slope of this line in  its simplest form:

The slope of a line refers to 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 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 given parameters into the formula, we have;

[tex]Slope, \;m = \frac{-6 - 6}{11 - 7}\\\\Slope, \;m = \frac{-12}{4}\\[/tex]

Slope, m = -3.

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