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PenguinHelper

The answer for this question is [tex] \frac{-1}{2} [/tex], B.


To solve this question, we must use the slope formula. The formula is:


m = [tex] \frac{y_{1} - y}{x_{1} - x} [/tex], with (x₁, y₁) being the coordinates of one point and (x, y) being the coordinates of the other.


Now we can substitute the values of the points (0,0) and (2,-1).


m = [tex] \frac{-1-0}{2-0} [/tex] = [tex] \frac{-1}{2} [/tex], meaning that our answer is B.

The slope of the line passing through the point (2,-1) and the origin is -0.5 and this can be determine by using the slope formula.

Given :

The line passing through the point (2,-1) and the origin.

Slope formula can be use to determine the slope of the line passing through the point (2,-1) and the origin.

[tex]\rm Slope = \dfrac{y_2-y_1}{x_2-x_1}[/tex]   ----- (1)

Where, [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex] are the points on the line. Now, put the value of [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex] in equation (1).

[tex]\rm Slope = \dfrac{0+1}{0-2}[/tex]

[tex]\rm Slope = -\dfrac{1}{2} = -0.5[/tex]

Therefore, the correct option will be B).

For more information, refer the link given below:

https://brainly.com/question/19072709

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