Answer:
The answer is
y + 2x = 2
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is 2x + y = 1
We must first write the equation in the general form above
That's
y = - 2x + 1
Comparing with the general equation above
Slope = - 2
Since the lines are parallel their slope are also the same
Slope of parallel line = - 2
So the equation of the line using point
( - 1 , 4) and slope - 2 is
[tex]y - 4 = - 2(x + 1) \\ y - 4 = - 2x - 2 \\ y + 2x = - 2 + 4[/tex]
We have the final answer as
y + 2x = 2
Hope this helps you
