Concept:Parallel lines have equal gradients so the new line shares the same slope as the given line.Explanation:The given line is y=−4x+2, so its gradient is m=−4.The required line must also have gradient −4.Use the point-slope form with point (2,3) and m=−4:y−3=−4(x−2)Expand the right-hand side:y−3=−4x+8Rearrange so all terms are on one side:y+4x−11=0Answer:Option C: y+4x−11=0