Answer:
The answer is option A
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 = - ⅔x + 12
Comparing with the general equation above
Slope = -⅔
Since the lines are parallel their slope are also the same
Slope of parallel line = - ⅔
The equation of the line using point
(6, –11) and slope - ⅔ is
[tex]y + 11 = - \frac{2}{3} (x - 6) \\ y + 11 = - \frac{2}{3} x + 4 \\ y = - \frac{2}{3} x + 4 - 11[/tex]
We have the final answer as
[tex]y = - \frac{2}{ 3 } x - 7 \\ [/tex]
Hope this helps you
