Answer:
The answer to your question is below
Step-by-step explanation:
Data
P (-5, 5)
Parallel to 6x - 5y - 9 = 0
Process
1.- Find the equation of the line
6x - 5y = 9
-5y = -6x + 9
y = -6/-5 x + 9/-5
y = 6/5 x - 9/5
slope = 6/5, as the lines are parallels, the slope is the same.
2.- Get the equation of the new line
y - y1 = m(x - x1)
y - 5 = 6/5 (x + 5)
y - 5 = 6/5x + 6
y = 6/5x + 6 + 5
y = 6/5x + 11 Point-slope form
5y - 25 = 6(x + 5)
5y - 25 = 6x + 30
6x - 5y + 30 + 25 = 0
6x - 5y + 55 = 0 General form
