Find the equation of a line in point-slope form, that passes through the point (1, -2)

Question

and is perpendicular to 4x-2y=3. Please state equation and work

Answer 1

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

m = -1/(-a/b) = b/a = -2/4 = -1/2

y - (-2) = (-1/2)(x - 1)

y + 2 = (-1/2)(x - 1)