Question

Create any line parallel to the line y= -1/3x+2

Answer 1

`y=-(1)/(3)x`

Step-by-step explanation

Step 1

if two lines are parallel, then

`\text{slope}_(_1)=slope_2`

So, we have

`y=(-1)/(3)x+2\rightarrow y\text{ = mx+b}`

Hence,

`\begin{gathered} \text{slope}1=(-1)/(3) \\ \text{sloep}1=\text{ slope2,then} \\ \text{slope}_2=(-1)/(3) \end{gathered}`

Step 2

according to the question , we can create any line, so we can select any point,

let

P1(0,0) and slope=-1/3

`\begin{gathered} y-y_1=m(x-x_1) \\ \text{replacing} \\ y-0=-(1)/(3)(x-0) \\ y=-(1)/(3)x \end{gathered}`