Question

Find the equation of the line that is parallel to y = 2x - 3 and passes through the

point (0,7).

Answer 1

Answer:
`y=2x+7`

Explanation:

Let's introduce couple variables
`m_(1)` (slope of your equation) and
`m_(2)` (slope of the equation we need to find.

Parallel lines have the same slope, therefore:
`m_(1) = m_(2)`, where
`m_(1)=2` and this means that
`m_(2) = 2` as well.

Given that we will use point-slope equation form with the point (0,7):

`y-y_(1) =m(x-x_(1) )\\` where
`(x_(1), y_(1) )` is the point

Let's substitute:

`y-7=2(x-0)\\`

And calculate:

`y-7=2x\\`

Now we just need to isolate
`y` by subtracting 7 from both sides:

`y=2x+7\\`

That's it!

Here's the graph to show the results: