Question

3) show that the two lines with the given slopes are parallel, perpendicular neither. My₁ = 3/4 M₂ = 12/16 . solve it by showing step by step​

Answer 1

Parallel lines have equal slope so

• M1-M2=0

Lets check

• M1=3/4
• M2=12/16=3/4

Now

• M1-M2
• 3/4-3/4
• 0

Lines are parallel

Answer 2

The two lines are parallel

Explanation:

If two lines are parallel, they have the same slope.

If two lines are perpendicular, the slopes will be negative reciprocals (the product of the slopes will be -1).

Given slopes:

`\sf m_1=(3)/(4)`

`\sf m_2=(12)/(16)`

Reduce m₂ to its simplest form by dividing the numerator and denominator by the largest common factor:

`\sf m_2=(12 / 4)/(16/ 4)=(3)/(4)`

Therefore,

`\sf as \quad (3)/(4)=(3)/(4) \implies m_1=m_2 \quad`

As the given slopes are the same, the two lines are parallel.