How can you determine if the given lines are perpendicular

Answer 1

To determine if two given lines are perpendicular, you need to examine their slopes. Two lines are perpendicular if and only if their slopes are negative reciprocals of each other.

Step 1: Find the slopes of the two lines.
- If given the equations of the lines in the slope-intercept form (y = mx + b), the slopes are represented by 'm.'
- If given two points on each line (x1, y1) and (x2, y2), the slope can be found by the formula: m = (y2 - y1) / (x2 - x1).

Step 2: Check if the slopes are negative reciprocals of each other.
- Multiply the two slopes together. If the product is -1, then the lines are perpendicular.