Answer:
The answer is
[tex]y = - \frac{2}{3} x + \frac{22}{3} [/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
Since the lines are parallel their slope are also the same
So the slope of parallel line = - 2/3
So the equation of the line containing the point (8 , 2) and slope - 2/3 is
[tex]y - 2 = - \frac{2}{3} (x - 8) \\ y - 2 = - \frac{ 2}{3} x + \frac{16}{3} \\ y = - \frac{2}{3} x + \frac{16}{3} + 2[/tex]
We have the final answer as
[tex]y = - \frac{2}{3} x + \frac{22}{3} [/tex]
Hope this helps you
