What is an equation of the line that passes through the point (6,3)(6,3) and is parallel to the line x+3y=24x+3y=24?

Question

What is an equation of the line that passes through the point (6,3)(6,3) and is parallel to the line x+3y=24x+3y=24?

Answer 1

x+3y = 24 has slope = -1/3

the parallel line has the same slope

y= (-1/3)x + b, solve for b by plugging in the point (6,3)

3 =-6/3 + b

b= 3+2 = 5

the parallel line is y=-x/3 +5