Question

Segment AB falls on line 6x + 3y = 12. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?
A They are parallel because they have the same slope of −2.
B They are parallel because they have the same slope of one half.
C They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.
D They are lines that lie exactly on top of one another because they have the same slope and a different y-intercept.

Answer 1

Answer:

• C. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.

Step-by-step explanation:

Given lines

• 6x + 3y = 12 ⇒ 2x + y = 4 ⇒ y = -2x + 4
• 4x + 2y = 8 ⇒ 2x + y = 4 ⇒ y = -2x + 4

The lines are same as both have same slope and y-intercept.

Correct statement is following:

• C. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.

Answer 2

Answer:

C. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercep

Step-by-step explanation: