Answer:
[tex]x = 4y[/tex]
Step-by-step explanation:
Given
[tex]y = kx[/tex]
See attachment for options.
Required
Determine which of the options answers the question
Analyzing the option one after the other:
[tex]\frac{x}{y} = 4[/tex]
Multiply through by y
[tex]y * \frac{x}{y} = 4 * y[/tex]
[tex]x = 4y[/tex]
Divide through by 4
[tex]\frac{x}{4} = \frac{4y}{4}[/tex]
[tex]\frac{x}{4} = y[/tex]
This can be rewritten as
[tex]y = \frac{x}{4}[/tex]
[tex]y = \frac{1}{4} x[/tex]
By comparison with [tex]y = kx[/tex]
we have:
[tex]y = y[/tex]
[tex]x = x[/tex]
[tex]k = \frac{1}{4}[/tex]
Hence: this answers the question.
