Answer:
The answer is
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
From the question the original line is
y = - 4x + 1
Comparing with the general equation above
Slope / m = - 4
Since the lines are parallel their slope are also the same
Slope of parallel line = - 4
So the equation of the line using point
(-7, -3) is
[tex]y + 3 = - 4(x + 7) \\ y + 3 = - 4x - 28 \\ y = - 4x - 28 - 3[/tex]
We have the final answer as
Hope this helps you