Consider the following sets: U = {points on the coordinate plane} A = {solutions to the equation y = 2x + 5} B = {points on the line y = mx} For what value of m does A ∩ B = ∅? m =

1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2. subtraction property of equality 2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90 substitution 3. m∠1 + m∠2 = m∠3 + m∠2 definition of complementary 4. m∠1 = m∠3 given