Question

He slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction

The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

Answer 1

The product of the slopes of two lines PQ and P'Q' that are perpendicular is -1, indicating that their slopes are negative reciprocals.

Step-by-step explanation:

The slopes of lines PQ and P'Q' can be determined using the formula m = (v2 - v1) / (x2 - x1), where m represents the slope of the line, and (x1, v1) and (x2, v2) are coordinates of two points on the line. When two lines are perpendicular, as is given in this scenario, their slopes are negative reciprocals of each other. This means that the product of the slopes of two perpendicular lines is -1. The slope is a measure of how steep a line is, and its sign indicates whether the line slopes upward or downward as one moves from left to right along the line.