write an equation of the line passing through point P (2,3) that is perpendicular to the line y-4= -2(x+3)

Answer 1

The slope of the line y-4 = -2(x+3) is -2. The slope of the line perpendicular to it is the negative reciprocal of that slope 1/2.

The equation of the line passing through P(2,3) with the slope 1/2 is

y-3 = 1/2(x-2).