algebra
posted by spirit73 .
Write an equation of the line containing the given point and perpendicular to the given line. express your answer in the fory y=mx+b.
(8,9); 7x+y=2
the equation of the line is y=?

given line 7x+y=2 or
y = 7x + 2
the slope of the given line is 7 so the slope of the new line is +1/7
then y = (1/7)x + b
plug in the point
9 = (1/7)(8) + b
63 = 8 + 7b
b = 55/7
so y = (1/7)x + 55/7
check:
Ls = 9
Rs = (1/7)(8) + 55/7 = 63/7 = 9 , Yeah!