Answer: A. The slope is [tex]-\dfrac{4}{3}[/tex].
Step-by-step explanation:
The slope of a line helps to specify the direction of the line.
The slope of a line that passes through (a,b) and (c,d) is given by :-
[tex]\text{Slope}=\dfrac{d-b}{c-a}[/tex]
Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-
[tex]\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}[/tex]
Hence, the slope is [tex]-\dfrac{4}{3}[/tex].
