Question

is y=x/2 a proportional linear realationship

Answer 1

Answer:

Yes, the given equation is a proportional linear relationship

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

$y=\frac{x}{2}$

Rewrite

$y=\frac{1}{2}x$

This is a proportional relationship between the variable x and variable y, because the line passes through the origin (For x=0 the value of y=0)

where

The value of the constant of proportionality k is equal to

$k=\frac{1}{2}$

therefore

The statement is true

Answer 2

Answer:

Yes

Step-by-step explanation:

We want to determine, whether

$y = \frac{x}{2}$

is a proportional linear relationship.

Let rewrite the relationship in the form

$y = kx$

to obtain:

$y = \frac{1}{2}x$

Where

$k = \frac{1}{2}$

is the constant of proportionality.

Since we are able to rewrite the relationship in the form

$y = kx$

and the highest degree is one, the given equation represents a proportional linear relationship.