Write an equation of the line that passes through (5,-2) and is parallel to the line 2x-3y=6

Answer 1

2x-3y = 6

3y = 2x-6

y = 2x/3 -2

2/3 is the slope

-2 = (2/3)(5) +b where b is the intercept

b= -2 -10/3 = -16/3

y = 2x/3 -16/3 is the parallel line through (5,-2)