Answer:
The answer is
5y - 12x = - 9
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
12x - 5y = 2
5y = 12x - 2
Divide both sides by 5
y = 12/5x - 1/5
Comparing with the above formula
Slope / m = 12/5
Since the lines are parallel their slope are also the same.
Slope the parallel line = 12/5
Equation of the line using point (2,3) is
[tex]y - 3 = \frac{12}{5} (x - 2) [/tex]
Multiply through by 5
That's
5y - 15 = 12(x - 2)
5y - 15 = 12x - 24
We have the final answer as
5y - 12x = - 9
Hope this helps you
