Question

Enter an equation for line n: y = __ x

Answer 1

`y=-(1)/(2)x`

Step-by-step explanation

a line that passes throught the origin (0,0) is a line in the form

`y=kx`

where k is the constant , rate of change or slope

so

Step 1

find the constant of the line:

to do that, check any coordiante and replace

a) pick up a coordinate from the line

Let

P(4,2)

so

`\begin{gathered} (4,-2) \\ x\rightarrow4 \\ y=-2 \end{gathered}`

replace

`\begin{gathered} y=kx \\ -2=4k \\ \text{divide both sides by 4} \\ (-2)/(4)=(4k)/(4) \\ -(1)/(2)=k \end{gathered}`

therefore, rewriting the function would be

`\begin{gathered} y=kx \\ y=-(1)/(2)x \end{gathered}`

I hope this helps you