How can you be sure you've used the properties of operations correctly to form an expression that is equivalent to the original one?

Find the multiplicative inverse of 8-12i

Write an equation of the line that passes through the point (2, 3) and is perpendicular to the line x = -1. a) y = 1 b) y = 3 c) y = 0 eliminate d) y = -3

Which equation is graphed here? a) y = -3x + 3 b) y = -3x - 3 c) y = -1 3 x +3 d) y = -1 3 x -3