Answer:
The answer is
[tex]y = - 4x - 14[/tex]
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
y = - 4x + 3
Comparing with the general equation above
Slope / m = - 4
Since the lines are parallel their slope are also the same
Slope of parallel line = (-3 , 2) and slope
- 4 is
[tex]y - 2 = - 4(x + 3) \\ y + 2 = - 4x - 12 \\ y = - 4x - 12 - 2[/tex]
We have the final answer as
[tex]y = - 4x - 14[/tex]
Hope this helps you
