Question

Determine if the segments or equations are parallel, perpendicular, or neither:

Segment AB formed by (-2,13) and (0,3)
Segment CD formed by (-5,0) and (10,3)

Answer 1

The segments formed by the given points are neither parallel nor perpendicular.

Step-by-step explanation:

To determine if the segments or equations are parallel, perpendicular, or neither, we can examine the slopes of the lines formed by the segments. The slope of a line is calculated using the formula: slope = (y2 - y1) / (x2 - x1).

For Segment AB with points (-2,13) and (0,3), the slope is (3-13) / (0-(-2)) = -10 / 2 = -5.

For Segment CD with points (-5,0) and (10,3), the slope is (3-0) / (10-(-5)) = 3 / 15 = 1/5.

Since the slopes of the two segments are not equal (-5 vs 1/5), they are neither parallel nor perpendicular.