Answer:
The answer is
y = -2/3x - 10/3
Step-by-step explanation:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
y = -2/3x + 4
Comparing with the above formula
m / slope = - 2/3
Since the lines are parallel their slope are also the same
Thus
Slope of the parallel line = -2/3
Equation of the line using point ( - 2 , - 2) is
[tex]y + 2 = - \frac{2}{3} (x + 2)[/tex]
[tex]y + 2 = - \frac{2}{3} x - \frac{4}{3} [/tex]
[tex]y = - \frac{2 }{3} x - \frac{4}{3} - 2[/tex]
We have the final answer as
[tex]y = - \frac{2}{3} x - \frac{10}{3} [/tex]
Hope this helps you
