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

$y=\frac{-1}{3}x\text{ or 3y=-x}$

This is working;

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-1}{0--3}=\frac{-1}{3}$

The equation of the line is;

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