Question

If m 2 =6x+8 and m 6 = 8x-6, find the value of x so that l is parallel to m

Answer 1

Answer:7

Explanation:

Answer 2

`x = 7`

Explanation:

Given

`m_2 = 6x + 8`

`m_6 = 8x - 6`

Required

Determine x when both lines are parallel

For parallel lines, slopes must be equal.

i.e.

`m_1 = m_2`

In this case,

`m_6 = m_2`

Substitute values for m6 and m2

`8x - 6 = 6x + 8`

Collect Like Terms

`8x - 6x = 8 + 6`

`2x = 14`

Solve for x

`x = 14/2`

`x = 7`