Question

What is the slope of the line given by the equation y=-3x?O A.mO B. -13O C. -3O D. 3

Answer 1

Slope (m) = -3 (Option C)

The question gives us an equation and asks us to find the slope of the equation. The equation is:

`y=-3x`

This question is easily solved when we consider the general equation of a line.

The general equation of a line is given below:

`\begin{gathered} y=mx+c \\ \text{where,} \\ m=\text{slope} \\ c=y-\text{intercept} \end{gathered}`

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:

`\begin{gathered} y=mx+c \\ \text{when c = 0} \\ y=mx+0 \\ \therefore y=mx \end{gathered}`

Now, comparing this updated version of the general equation, we have:

`\begin{gathered} y=mx \\ y=-3x \\ \\ \therefore m=-3 \end{gathered}`

The final answer is Slope (m) = -3 (Option C)