How can you determine if two lines are perpendicular?

you can find the slope of the two lines...when it is perpendicular

m1*m2=-1
m1=one of the slope
m2=the second slope
if you multiply the slopes together, you will get -1 if it is perpendicular.

Multiply the slope of one by the slope of the other. If the product is -1, they are perpendicular.

To determine if two lines are perpendicular, you can use the concept of slope. If the product of the slopes of the two lines is -1, then the lines are perpendicular.

Here's a step-by-step explanation of how to determine if two lines are perpendicular:

1. Find the slopes of the two lines using the given equations. The slope of a line is usually denoted by 'm' and can be calculated using the formula: m = (change in y) / (change in x). If the equations are given in the form y = mx + b, the slope 'm' can be directly inferred from the equation. For example, the slope of the line y = 2x + 1 is 2.

2. Take the product of the two slopes obtained in step 1.

3. If the product is -1, then the lines are perpendicular. If the product is any other number, then the lines are not perpendicular.

Note: It's important to remember that vertical lines (with undefined slopes) are perpendicular to horizontal lines (with a slope of 0). Also, if one line is a multiple of the other (e.g., y = 2x and y = 4x), they are also considered perpendicular.