Question

Which of the following equations have graphs that are parallel to the graph of the equation y=-3/2x+8?

Answer 1

Parallel lines will have the same slope, but different y int
y = -3/2x + 8....slope = -3/2....y int = 8

(I) 3x + 2y = 10
    2y = -3x + 10
    y = -3/2x + 5....slope = -3/2, y int = 5....this IS parallel

(II) 2x - 3y = 9
     -3y = -2x + 9
     y = 2/3x - 3...slope = 2/3, y int = -3....is not parallel

(III) 6x + 4y = 28
       4y = -6x + 28
       y = -3/2x + 7...slope = -3/2, y int = 7....this IS parallel

(IV) 3x - 2y = 8
      -2y = -3x + 8
      y = 3/2x - 4...slope = 3/2...y int = -4...this is not parallel

solution is : I and III