Respuesta :

What is the given line?

Anyways, take the slope of the given line. Since I don’t know what it is, let’s say it’s one.

Create an equation for the new line. Y=1x+b

We know that the line must go through (0,6). Plug in that. 6=0+b
B=6

Now plug b in to get your equation. y=x+6

This will change based on what your slope is

Points depends on the value of slope for the parallel line y = m₁ x + 6.

What are parallel lines?

" Parallel lines defined as two different lines lie in the same plane and never intersect with each other in that plane. Distance between parallel lines remain constant."

According to the question,

Let y = m₁ x + d be the given line.

Slope of parallel lines are equal and line passes through (0, 6)

Therefore,

  6 = m₁ (0) + d

⇒ 6 = d

Required line parallel to the given line is

y = m₁ x + 6

 

Hence, points depends on the value of slope for the parallel line

y = m₁ x + 6.

Learn more about parallel lines here

https://brainly.com/question/16701300

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