Does the equation y = 4.2x represent a proportional relationship

A proportional relationship is one in which two quantities vary directly with each other.We say the variable varies directly .If y=k.x   then as x increases y  also increases.Here k is called the constant of proportionality.

The given equation y = 4.2x is of the form y=k.x where k= 4.2 as x increases y value will also increase. The relation is called a proportional relationship.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

i need more details

step-by-step explanation: