Question

Some equations have the form y=kxy=kx, where kk is a number.

Answer 1

Answer:

$x = 4y$

Step-by-step explanation:

Given

$y = kx$

See attachment for options.

Required

Determine which of the options answers the question

Analyzing the option one after the other:

$\frac{x}{y} = 4$

Multiply through by y

$y * \frac{x}{y} = 4 * y$

$x = 4y$

Divide through by 4

$\frac{x}{4} = \frac{4y}{4}$

$\frac{x}{4} = y$

This can be rewritten as

$y = \frac{x}{4}$

$y = \frac{1}{4} x$

By comparison with $y = kx$

we have:

$y = y$

$x = x$

$k = \frac{1}{4}$

Hence: this answers the question.