What do the following two equations represent?

• 
  Choose 1 answer:
  (A) The same line
  (B) Distinct parallel lines
  © Perpendicular lines
  (D) Intersecting, but not perpendicular lines

To understand what the equation represents, let’s first rewrite it in slope-intercept form . Rearranging gives us or . This shows a line with a slope of 2. If you compare two different equations in slope-intercept form, if their slopes are the same, they represent distinct parallel lines.

To ensure clarity, when determining the choice, you might want to graph or compare other equations. If a second equation has the same slope (2 for ), then it confirms they are parallel. If their slopes differ, then they may either intersect or be perpendicular, depending on their specific values.