Question

Is (13,-5),(2,6),(-1,-5),(4,-2) perpendicular or parallel?

Option 1: Perpendicular
Option 2: Parallel
Option 3: Neither perpendicular nor parallel
Option 4: Insufficient data to determine

Answer 1

The given points (13,-5),(2,6),(-1,-5),(4,-2) form a set of coordinates. The lines formed by these points are perpendicular.

Step-by-step explanation:

The given points (13,-5),(2,6),(-1,-5),(4,-2) form a set of coordinates. To determine if they are parallel or perpendicular, we can calculate the slope between each pair of points. If the slopes are equal, the lines are parallel. If the product of the slopes is -1, the lines are perpendicular.

Calculating the slopes:

1. M1 = (6 - (-5)) / (2 - 13) = 11 / -11 = -1
2. M2 = (-5 - 6) / (-1 - 2) = -11 / -3 = 11 / 3
3. M3 = (-2 - (-5)) / (4 - (-1)) = 3 / 5

Since the slopes M1 and M2 have a product of -1, the lines are perpendicular. The third pair of points does not affect the conclusion.