Line W has the equation 3x + y = 7. Which of the following lines is perpendicular to Line W? Choose the most appropriate option.
A) y = 3x + 4  B) y = –3x – 6  C) y = (1/3)x – 1  D) y = (–1/3)x + 2  E) y = (–7/3)x – 5
I first rewrote the equation in the standard y=mx+b form. Therefore, Line W as presented, 3x + y = 7, can be rewritten as follows: y=-3x+7.   Thought process next is what line would be perpendicular to Line W? Any line with a reciprocal of the slope but in the opposite direction. The reciprocal of any fraction/integer is 1 over that number/integer. Therefore the reciprocal of -3 is -1/3 - need to drop the negative sign because the line would kinda run parallel and we want perpendicular. Scan the answers choices and notice y = (1/3)x – 1 as the only one.
<result>C</result>
Line W has the equation 3x + y = 7. Which of the following lines is perpendicular to Line W?