The slope of the line passing through the given points (2, 0) and (32, -5) is [tex]\frac{-1}{6}[/tex]
Given the following points:
- Points on the x-axis = (2, 32)
- Points on the y-axis = (0, -5)
To find the slope of the line passing through the given points (2, 0) and (32, -5):
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 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{-5 \;- \;0}{32\; - \;2}\\\\Slope. \;m = \frac{-5}{30}\\\\Slope. \;m = \frac{-1}{6}[/tex]
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