How can you determine if the given lines are perpendicular
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.