Which of the following lines is not parallel to the line 3y + 2x + 7 = 0?
A
3y + 2x - 7 = 0
B
9y + 6x + 17 = 0
C
24y + 16x + 19 = 0
D
3y - 2x + 7 = 0
E
15y + 10x - 13 = 0
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
Two lines are said to be parallel if the slope of the two lines are equal.
The equation : \(3y + 2x + 7 = 0\)
\(3y = -2x - 7\)
\(y = \frac{-2}{3} x - \frac{7}{3}\)
\(\frac{\mathrm d y}{\mathrm d x} = - \frac{2}{3}\)
All the options have the same slope except 15y + 10x - 13 = 0.
Source: Myschool Past Questions Archive (Record #32490)