Question

What is the slope of a line that passes through the origin and the point (-2,1)?

Answer 1

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

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

$m=\dfrac{1-0}{-2-0}$

$m=\dfrac{1}{-2}$

$m=-\dfrac{1}{2}$

Therefore, the slope of the line is $-\dfrac{1}{2}$.