Question

What is the equation of the following line? Be sure to scroll down first to see all answer options. (-3, 1) (0,0) 5 A. y = 3x B. y=-3x C. y = x D. y=-x E. y =1/3x

Answer 1

The correct answer is

`3y+x=0`

If we write this solution in another form , it can have

`y=(-1)/(3)x\text{ or 3y=-x}`

This is working;

`\text{Slope}=(y_2-y_1)/(x_2-x_1)=(0-1)/(0--3)=(-1)/(3)`

The equation of the line is;

`\begin{gathered} y-y_1=slope(x-x_1) \\ y-1=(-1(x--3))/(3) \\ 3(y-1)=-1(x+3) \\ 3y-3=-x-3 \\ 3y=-x \\ y=(-x)/(3) \end{gathered}`