The slope of the line passing through the given points (10, 8) and (-15, 18) is [tex]\frac{-2}{5}[/tex].
Given the following points:
- Points on the x-axis = (10, -15)
- Points on the y-axis = (8, 18)
To find the slope of the line passing through the given points (10, 8) and (-15, 18):
The slope of a line is the gradient of a line and it represents 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 points into the formula, we have;
[tex]Slope. \;m = \frac{18 \;- \;8}{-15\; - \;10}\\\\Slope. \;m = \frac{10}{-25}\\\\Slope. \;m = \frac{2}{-5}[/tex]
Therefore, the slope of the line passing through the given points is [tex]\frac{-2}{5}[/tex].
Read more: https://brainly.com/question/18123312
