Line A is drawn on a rectangular coordinate plane. If the coordinate

With the given set I can find slope of the line:

\(\frac{-2-2}{-1-3}\) m= \(\frac{-4}{-4}\) = 1

A line that is perpendicular to above line will have a slope of -1 (Perpendicular line has a slope of (-1/m), where m is slope of original line)

Let us check options

\(\frac{9-8}{4-5}\) = -1 --> This line is perpendicular on given line.
\(\frac{-2+1}{4-3}\) = -1 --> This line is perpendicular on given line.
\(\frac{9-6}{-4+1}\) = \(\frac{3}{-3}\) =-1 --> This line is perpendicular on given line.
\(\frac{2-5}{-3-2}\) = \(\frac{-3}{-5}\) = 3/5 --> This line is NOT perpendicular on given line.

Option D is the answer.

My strategy:
As the question demands to find out the coordinates that not lie on the perpendicular of question mentioned line, which's slope is positive, I have tried to find out the positive slope from the given coordinates using the normal slope formula.
Another strategy that helps to find out the positive slope is left to right direction and opposite for the negative.

Following the above, I found positive slope at option D.

Posted from my mobile device

KarishmaB - Trying to see if there is a more efficient approac to this, that doesnt require calculating slopes for each answer choice.
Here's my thought proces, but I wonder if its sound? I am looking for a slope of -1 in the choices, as any slope with -1 would not be the answer to the question. Calculating each slope would be time-consuming, but I can see that in each choice, the diff between x coordinates and y coordinates is exactly the same, except in D, where x coordinates differ by 5 and y coordinates by 3, so this must be my answer.

I am guessing, if the correct answer had a slope of 1, then this approach would not hold, but it works for this question?