How to figure of if these points are parallel, perpendicular, or neither with 4 sets of points.

Question

Q(-6,11), R(2,-1), S(-4,8), T(-1,10)

Are these points parallel, perpendicular, or neither?

Answer 1

Usually a question like this is indicating there is a line drawn through the given points. Did you include the full question. We could calculate the slope between the first two points and compare that to the slope between the second two points.

line 1 m= (y-y)/(x-x). so (11- -1)/(-6-2) =12/-8 = -3/2

line 2 m= (10-8)/(-1- -4)= 2/3

If lines are perpendicular, they have opposite signs (like these) and are reciprocals (the numbers in the numerator and denominator are flipped, just as these are!). One slope is positive and one is negative and the numbers are flipped. These lines are perpendicular. Parallel lines have the same slope. If there is neither relationship, the lines are neither perpendicular nor parallel.

Answer 2

Well it is neither since points cannot be parallel or perpendicular. Lines are parallel (or not) or perpendicular ( or not).