A line that passes
through the point (3,2) is parallel to the line with equation 2y
 4x = 6. 2y  4x = 6 may be written as 2y = 4x + 6
2y = 4x + 6 may be written as y = 2x + 3
y = 2x + 3 has slope m=2
A line parallel to y=2x+3 also has slope m=2.
The line with slope m=2 containing (3,2) is y(2)=2(x3)
y(2)=2(x3) may be written as y+2=2x6
y+2=2x6 may be written as y = 2x  8
