# How do you write an equation of a line that passes through (4,2) and is parallel to the line whose equation is y=2x-4?

Apr 2, 2015

The answer is $d = 2 x - 6$

I use $y = m x + n$ line equation form to solve these problems. ($m$ is the slope)

Parallel lines have the same slope. So our unkown line has a slope of $2$.

(lets call our unknown line as $d$)

$d = 2 x + n$

Now plug the given point to find $n$

$2 = 2 \cdot 4 + n$
$n = - 6$

So here is the equation:

$d = 2 x - 6$