Answer:
Hence, the correct option is;
They are parallel because they have the same slope of -2
Step-by-step explanation:
Here we have;
AB falls on the line 6x + 3y = 9..........................(1)
CD falls on the line 4x + 2y = 8..........................(2)
Therefore, for equation (1),
3y = 9 - 6x which gives;
y = -2x + 3
for equation (2),
2y = 8 - 4x which gives;
y = -2x + 4
The equation of a straight line is y = m·x + c
Where:
m = Slope
c = Intercept
Hence, since, by comparison to the equation of a straight line, both lines have the same slope of -2, but different intercept, we have that both lines are parallel
Hence, the correct option is;
They are parallel because they have the same slope of -2.
