Question

How do you write an equation of a line that passes through (-4, 2) and is parallel to the line with the equation `y=1/2x+5`?

Answer 1

`y = 1/2 x + 4`

Explanation:

The parallels all have the same slope, 1/2, so the equation is

`y = 1/2 x + b`

We get `b = y-1/2 x = 2 - 1/2 (-4) = 4`

`y = 1/2 x + 4`