Given:
A line passes through the origin and the point (-2,1).
To find:
The slope of the line.
Solution:
If a line passes though two point, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that a line passes through the origin, .i.e., (0,0) and the point (-2,1). So, the slope of the line is
[tex]m=\dfrac{1-0}{-2-0}[/tex]
[tex]m=\dfrac{1}{-2}[/tex]
[tex]m=-\dfrac{1}{2}[/tex]
Therefore, the slope of the line is [tex]-\dfrac{1}{2}[/tex].