Will mark brainliest. what is the equation of a line that is parallel to 4x+3y=12 and passes through the point (3, 4) ?

Well, if you try to find the coordinate of (3,4), you'll find that it'll in the positive plane in the 3rd quadrant. 

When you have an equation 4x + 3y= 12, it means that you'll multiply 4 by 1, 2, 3...etc., then add three onto it. 

Ex: 4x + 2y = 8 

Why is 4x + 2y = 8? Think of the "x" as the "times 1". So, like I said it's multiplying 1, 2, 3, etc.

Your equation would look like this if you wanted to see the process:

Ex: 4 x 1 + 2 x 1 = 8
      4 x 2 + 2 x 2 = 10
     
But for some, it's just more confusing. So the simplified version is easier to understand. To answer your question, an equation that'll be parallel to
4x + 3y =12, is -4x + -3y = 12