What is the equation of the line that is parallel to the line 5 x plus 2 y is equal to 12 and passes through the point open paren negative 2 comma 4 close paren ?

Rewrite 5x + 2y = 12 as y = −5/2x + 6, so its slope is −5/2. A parallel line has the same slope; using the point (−2, 4), we get 4 = (−5/2)(−2) + b = 5 + b, so b = −1. The equation is y = −5/2x − 1, choice D.

AI-written and checked against the verified answer.