Respuesta :
The slope of the line passing through the given points (4, 10) and (2, 10) is: D. 0.
Given the following points:
- Points on the x-axis = (4, 2)
- Points on the y-axis = (10, 10)
To find the slope of the line passing through the given points (4, 10) and (2, 10):
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{10 - 10}{2 - 4}\\\\Slope. \;m = \frac{0}{-2}[/tex]
Slope, m = 0.
Therefore, the slope of the line passing through the given points is 0.
Note: When you divide zero by any number it is equal to zero (0).
Read more: https://brainly.com/question/18123312