Question

write an equation of the line contaning the given point and pairallel to the given line. it is

(7,-2)3x-7y=6 the equation of the line is y=?

Answer 1

7 y = 3x-6

y = (3/7)x - 6/7
slope m = 3/7 and that is the slope of any parallel line
so form is
y = (3/7) x + b and we need b
-2 = (3/7)(7) + b
b = -2 -3 = -5
so
y = (3/7)x -5
or
7y = 3x - 35