Question

What is the equation of the line that passes through (4,2) and is parallel to 3x-2y=-6

Answer 1

3x-2y=-6
2y = 3x + 6
y = 3/2x + 3 so slope = 3/2
parallel lines have same slope, also has slope = 3/2

passes through (4,2) 
y = mx + b
2 = 3/2(4) + b
2 = 6 + b
b = -4

equation
y = 3/2x - 4

standard form
3x - 2y = 8