Answer:
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 equation of the original line is
y = 5/6x + 7
Comparing with the general equation above
Slope / m = 5/6
Since the lines are parallel their slope are also the same
Slope of parallel line = 5/6
So the equation of the line using point ( -12 , 9) and slope 5/6 is
[tex]y - 9 = \frac{5}{6} (x + 12) \\ y - 9 = \frac{5}{6} x + 10 \\ y = \frac{5}{6} x + 10 + 9[/tex]
We have the final answer as
[tex]y = \frac{5}{6} x + 19[/tex]
Hope this helps you
