The question asks for the equation of a line that has a slope parallel to the slope of the line given in the problem. In the form y=mx+b,m represents the slope.So, the slope of the equation given in the problem, y=−3x−6, is −3. All you need to do now is find which choice also has a slope of −3.One way to do that would be to rewrite each answer into the y=mx+b form.However, if you notice that each equation is presented in the Ax+By=C form,you know that the slope in that form is equal to BA​. So, check each answer choice: The slope of (A) is −−31​, or 31​; the slope of (B) is −(−31​1​) or 3 ; the slope of (C) is −(61​1​), or −6; and the slope of (D) is −(31​1​), which equals −3. So, (D) is the correct answer.