Slope (m) = -3 (Option C)
The question gives us an equation and asks us to find the slope of the equation. The equation is:
[tex]y=-3x[/tex]
This question is easily solved when we consider the general equation of a line.
The general equation of a line is given below:
[tex]\begin{gathered} y=mx+c \\ \text{where,} \\ m=\text{slope} \\ c=y-\text{intercept} \end{gathered}[/tex]
The equation given to us in the question is similar to this general equation but there is no "c" term.
This means the equation from the question is a special case of the general equation where c = 0.
This is illustrated below:
[tex]\begin{gathered} y=mx+c \\ \text{when c = 0} \\ y=mx+0 \\ \therefore y=mx \end{gathered}[/tex]
Now, comparing this updated version of the general equation, we have:
[tex]\begin{gathered} y=mx \\ y=-3x \\ \\ \therefore m=-3 \end{gathered}[/tex]
The final answer is Slope (m) = -3 (Option C)
