Question

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? Explain
how the sum of
the equations
demonstrates this relationship.

Answer 1

In explanation

Explanation:

So, let's solve for y in both of these equations

3y + 2x = 8

3y = 2x+8

y = 2/3x+8/3

-3x - 2y = 6

-2y = 3x + 6

y = -3/2x-3

The lines are perpendicular, since their slopes are the negative reciprocal of each other.

Negative reciprocal => -1/n

The sum of the equations demonstrates this relationship, with 0x + 0y = 14

or 0 = 14 in which a result like this only occurs when the lines are perpendicular

Your welcome, comment if you have any questions! :D

Answer 2

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.

Explanation: