Question

What is an equation of the line that is parallel to y= 3x + 1 and passes through the point (2,6)

Is it Y=3x + 6

Answer 1

Ok, so you know that parallel lines have a special trick with their slopes. When you multiply the two slopes of the lines together, you should get -1. So what number could you multiply 3 by to get a -1? -1/3! So far, your line equation should be y=-1/3 x + b. How do you get b now?
Substitute 2 in for x in the line equation and 6 in for the y. Solve for b and stick the b back into the new line equation.