Answer:
or
Step-by-step explanation:
First, rearrange the equation of the given line to the form y=mx+b
This makes it easier to identify the slope
12x-5y=2
5y=12x-2
y= (12x/5)-(2/5)
In this form, it is easier to see that the slope is m= 12/5
Since the lines are parallel, the slope is the same for both equations
Now, use the point-slope equation to find the equation of the parallel line
Substitute the values of the given coordinate point (2,3) in for X1 and Y1
Y1=3
X1=2
Now, substitute the value of the slope into the equation too
The equation now becomes :
The equation can be left in that form or simplified into the y=mx+b form
To simplify: