Of the following equations below, which equation represents a direct variation between x and y?
select one:
a. 2y = 3x −7
b. y −4 = x +6
c. y +3 = x +3
d. 4y +1 = 4x−1

C. y +3 = x +3

Step-by-step explanation:

We need to find in below option x has direct variation with y.

We solve for each;

A.

From above equation we can state that 2 times y is equal to 7 less than 3 times of x.

Hence it doesn't represent direct variation.  

B.

Solving above expression we get;

From above equation we can state that y is equal to 10 more than x.

Hence it doesn't represent direct variation.

C.

Solving above expression we get;

From above equation we can state that y is equal to x.

Hence it represent direct variation.

D.

Solving above expression we get;

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.

Hence it doesn't represent direct variation.

Hence the Answer which represent direct variation of x and y is,

C.