Line BC is represented by 3x + 2y = 8. Line AD is represented by –3x – 2y = 6. What is the relationship of line BC to line AD? E

Question

Anarel [89]

3 years ago

15

Line BC is represented by 3x + 2y = 8. Line AD is represented by –3x – 2y = 6. What is the relationship of line BC to line AD? E

xplain how the sum of the equations demonstrates this relationship.

Mathematics

2 answers:

igomit [66] · Answer 1 · 2022-05-08T22:26:59+03:00

igomit [66]3 years ago

3 0

Sample Response: Line BC is parallel to line AD. The system of equations has the sum 0 = 14. Since this is a false equation, the system has no solution, which means the lines will never intersect.

Arisa [49] · Answer 2 · 2022-05-08T23:38:19+03:00

The correct answer for this question is this one:

The equations are:
<span>BC: 3x + 2y = 8.
The slope of line BC is -3/2
y = -3/2 + 4

AD: –3x – 2y = 6.
The slope of line AD is -3/2
y = -3/2x - 3</span>
So the relationship of the two lines is parallel lines.

Hope this helps answer your question and have a nice day ahead.