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 = ⅔x + 4
Comparing with the general equation above
Slope = 2/3
Since the lines are parallel their slope are also the same
Slope of parallel line = 2/3
Equation of the line using point (-7 , 1) and slope 2/3 is
[tex]y - 1 = \frac{2}{3} (x + 7) \\ y - 1 = \frac{2}{3} x + \frac{14}{3} \\ y = \frac{2}{3} x + \frac{14}{3} + 1[/tex]
We have the final answer as
Hope this helps you
