Question

Find the equation of the line that passes through the point (3,14) and is parallel to y=2/3x -6

Answer 1

You use the point slope formula 
y-y1=m(x-x1)
y-14=2/3(x-3)
y-14=2/3x-2
+14      +14
y=2/3x+12

Answer 2

Y=mx+b
m=slope

paralell ines have same slope
y=2/3x-6
slope is 2/3

the equation of aline that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(3,14) and slope is 2/3
y-14=2/3(x-3)
y-14=2/3x-2
y=2/3x+12