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
The original line is y = 4x + 3
Comparing with the general equation above
Slope = 4
Since the lines are parallel their slope are also the same
Slope of parallel line = 4
The equation of the line using point (1,8) and slope 4 is
[tex] y - 8 = 4(x - 1) \\ y - 8 = 4x - 4 \\ y = 4x - 4 + 8[/tex]
We have the final answer as
[tex]y = 4x + 4[/tex]
Hope this helps you
