Answer:
The answer is
[tex]y = - 5x - 1[/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
The original line is y = - 5x + 4
Comparing with the general equation above
Slope / m = - 5
The equation of the line using point (-1,4) and slope - 5 is
[tex]y - 4 = - 5(x + 1) \\ y - 4 = - 5x - 5 \\ y = - 5x - 5 + 4[/tex]
We have the final answer as
[tex]y = - 5x - 1[/tex]
Hope this helps you
