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The slope of the line that passes through the given points M(-5, 0) and N (6, 8) is [tex]\frac{8}{11}[/tex]

Given the following points:

  • Points on the x-axis = (-5, 6)
  • Points on the y-axis = (0, 8)

To calculate the slope of the line that passes through the given points M(-5, 0) and N (6, 8), we would use the following formula;

The slope of a line can be defined as the gradient of a line.

Hence, a slope is typically used to describe 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{8 - 0}{6 - [-5]}\\\\Slope. \;m = \frac{8}{11}\\\\Slope. \;m = \frac{8}{11}[/tex]

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