Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.

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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: