# What is an equation of the line that

What is an equation of the line that passes through the point (−1,4) and is parallel to the line 2x+y=1?

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alenahelenash

Parallel means the slope is the same,$y=-2x+K$ that is, the slope is also $-2$.
So, the general equation would be:

$y=-2x+K$

Now, (-1, 4) belongs to the line… and this means the equation is true when $x=-1$ and .

$4=-2*\left(-1\right)+k$

$4=2+K$

Adding $2$ in both sides:

$2=K$

So, the equation is:

$y=2x+2$