The slope of the line passing through the given points (-1, -11) and (-6, -7) is equal to [tex]\frac{-4}{5}[/tex].
Given the following points:
- Points on the x-axis = (-1, -6)
- Points on the y-axis = (-11, -7)
To find the slope of the line passing through the given points (-1, -11) and (-6, -7):
The slope of a line refers to the gradient of a line and it 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 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{-7 - [-11]}{-6 - [-1]}\\\\Slope. \;m = \frac{-7\; + \;11}{-6+1}\\\\Slope. \;m = \frac{4}{-5}[/tex]
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