what does perpendicular mean????????????
Perpendicular means straight up and down.
Walls are perpendicular to floors.
When a line intersects another forming a 90 degree/ right angle.
Perpendicular is a term used in geometry to describe the relationship between two lines, segments, or rays that intersect at a right angle, forming a 90-degree angle. In simpler terms, two lines are perpendicular if they meet or cross each other at a 90-degree angle.
To determine if two lines are perpendicular, you need to check if the slopes of the lines are negative reciprocals of each other. The slope of a line measures its steepness and is represented by the letter "m." If the slopes of two lines are negative reciprocals, it means that one slope is the negative inverse of the other.
So, if you have the equations of two lines, you can find their slopes by comparing the coefficients of the variables. Specifically, if the slopes of the lines are "m1" and "m2," respectively, then they are perpendicular if and only if the equation m1 × m2 = -1 holds true.
For example, if the equation of Line 1 is y = 2x + 3 and the equation of Line 2 is y = -1/2 x + 4, you can compare the slopes:
The slope of Line 1 (m1) is 2.
The slope of Line 2 (m2) is -1/2.
Multiplying these two slopes (-1/2 × 2) gives -1, which is the negative inverse of 1, satisfying the condition for perpendicular lines.
Therefore, in this example, Line 1 and Line 2 are perpendicular to each other.