Question

What is the equation of the following line? Be sure to scroll down first to seeall answer options.(3.1)(0,0)O A. y=- 5*B. y=-3xC. y= }D. y = xE. y = 3xF. y=-x

Answer 1

We can find the equation of a linear equation using the following formula

`\begin{gathered} y-y_1=m(x-x_1) \\ y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1) \end{gathered}`

where

(x1 , y1) = (-3 , 1)

(x2 , y2) = (0 , 0)

Replacing

`y-1=(0-1)/(0+3)\cdot(x+3)`

Simplify

`\begin{gathered} y-1=(-1)/(3)\cdot(x+3) \\ y-1=-(1)/(3)x-(1)/(3)\cdot3 \\ y-1=-(1)/(3)x-1 \\ y=-(1)/(3)x-1+1 \\ y=-(1)/(3)x \end{gathered}`

Therefore,

the answer is option A