Question

Segment AB falis on line 6x + 3y = 9. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?

Answer 1

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.