Which equation represents a line which is parallel (see the picture)

  [C]:  " 7x − 4y = 4 " .

Explanation:

We are given the following equation: 

    " y = (7/4) x  −  3 " ;  which is in "slope-intercept form"; that is:

"y = mx + b " ; in which "m" = the slope = "(7/4)" .

Among the answer choices given, 

Answer choice:  [C]:  " 7x − 4y = 4 " ;  is the only answer choice given which, when written in "slope-intercept form" ; that is: "y = mx + b" ;  has a slope of "m = (7/4)".  Specifically, when the given equation in answer choice [C]:

   " 7x  −  4y  =  4" ;  is written in "slope-intercept form;  

            we get:  -4y + 7x = 4; 

-4y = 4 -7x  = -7x +4;

-4y = -7x + 4 ; 

Now, divide EACH side of the equation by "-4" ;

 -4y / -4 = (-7x + 4) / -4 ;

To get: 

 y = (7/4) x + 1 ;  and since the slope, "m = (7/4) is the same slope as the original equation, that this line (in answer choice 'C' is PARALLEL to the line in the original equation given.