Respuesta :
Answer:
The answer is
y = 6x + 43
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 = 6x + 1
Comparing with the general equation above
Slope = 6
Since the lines are parallel their slope are also the same
Slope of parallel line = 6
The equation of the line using point (-7,1) and slope 6 is
[tex]y - 1 = 6(x + 7) \\ y - 1 = 6x + 42 \\ y = 6x + 42 +1[/tex]
We have the final answer as
y = 6x + 43
Hope this helps you