Question 87367
First solve the equation 2x-3y=6 for y to find its slope.
2x-3y=6
2x-3y-2x=6-2x
-3y=-2x+6

y=2/3x-2  slope is 2/3

Remember that parallel lines have the same slope.

Point slope form is y-y1=m(x-x1)

substitute 1 for x1, 4 for y1 and 2/3 for m.

So, answer is y-4=2/3(x-1) in point slope or solve for y to put in slope/intercept form.  y=2/3x+10/3