Respuesta :
Given:
A line passes through the points (-6, 8) and (-16, 33).
To find:
The slope of the line.
Solution:
If a line passes through two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through the points (-6, 8) and (-16, 33). Using the above formula, the slope of the line is
[tex]m=\dfrac{33-8}{-16-(-6)}[/tex]
[tex]m=\dfrac{25}{-16+6}[/tex]
[tex]m=\dfrac{25}{-10}[/tex]
[tex]m=-2.5[/tex]
Therefore, the slope of the line is -2.5.
Slope of the line passing through the points ( -6,8) and (-16,33) will be -2.5.
Given information:
The line passes through the points ( -6,8) and (-16,33).
It is required to find the slope of the line.
Slope of the line passing from two points [tex](x_1,y_1) \; and\; (x_2, y_2)[/tex] can be written as
[tex]m= \dfrac{y_2-y_1}{x_2- x_1}[/tex]
So, the slope of the given line can be calculated as,
[tex]m= \dfrac{33-8}{-16- (-6)}\\m = \dfrac{25 }{-10} \\m = -2.5[/tex]
Therefore the slope of given line will be -2.5.
For more details, refer to the link:
https://brainly.com/question/14914699
