how can you determine if two lines are perpendicular?

Perpendicular lines are lines that intersect to form a 90 degree angle. What is the equation you are doing?

also you can first find y in the equation(s), and then find the slopes, and finally multiply the slopes.

To determine if two lines are perpendicular, you can use their slopes. Perpendicular lines have slopes that are negative reciprocals of each other. Here's how you can find the slopes of the lines and check if they are perpendicular:

1. Start by writing the equations of the two lines in slope-intercept form (y = mx + b), where m represents the slope:
- Line 1: y1 = m1x + b1
- Line 2: y2 = m2x + b2

2. Compare the slopes of the two lines, m1 and m2. Calculate the slopes by looking at the coefficients next to 'x' in the equations.

3. If the slopes are negative reciprocals of each other, then the lines are perpendicular. The negative reciprocal means that one slope is the negative of the reciprocal of the other. Mathematically, the condition is:
- m1 * m2 = -1

If the product of the slopes is -1, then the lines are perpendicular.