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

Answer 1

y + 2 = -2x

y = -2x - 2

Perpendicular lines have opposite, reciprocal slopes.

y = mx + b

3 = (1/2)(2) + b

3 = 1 + b

b = 2

y = (1/2)x + 2