can you help me with math please.

Question

Find an equation of the line that satisfies the given conditions.
Through  (1/2, − 2/7) ; perpendicular to the line 6x − 12y = 1

Answer 1

The product of slopes of perpendicular lines is -1, so the slope of the perpendicular line is

m = -1/[-6/(-12)] = -2

y = -2x + b

Find b from the given point.

-2/7 = -2(1/2) + b

You should be able to finish from here.