Answer:
The answer is
[tex]y = 5x - 8[/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 , the original line is
y = 5x + 8
Comparing with the general equation above
Slope / m = 5
Since the lines are parallel their slope are also the same
Slope of parallel line = 5
Equation of the line using point (1,-3) and slope 5 is
[tex]y + 3 = 5(x - 1) \\ y + 3 = 5x - 5 \\ y = 5x - 5 - 3[/tex]
We have the final answer as
[tex]y = 5x - 8[/tex]
Hope this helps you
