perpendicular lines
Perpendicular lines are two lines that intersect at a right angle, forming a 90-degree angle
Perpendicular lines are two lines that intersect at a right angle, forming a 90-degree angle. It means that if you were to extend these lines infinitely, they would never meet.
To determine if two lines are perpendicular, one way is to check if the slopes of the lines are negative reciprocals of each other. The slope of a line can be found using the formula:
slope = (change in y)/(change in x)
If the slopes of two lines multiply to give -1, then they are perpendicular to each other.
For example, let’s say we have two lines:
Line 1: y = 2x + 3
Line 2: y = -(1/2)x + 6
To find the slope of Line 1, we compare the change in y (which is 2) to the change in x (which is 1). The slope of Line 1 is 2/1 = 2.
To find the slope of Line 2, we compare the change in y (which is -1/2) to the change in x (which is 1). The slope of Line 2 is -1/2.
Now, we check if the slopes are negative reciprocals by multiplying them:
2 * (-1/2) = -1
Since the product of the slopes is -1, we can conclude that Line 1 and Line 2 are perpendicular to each other.
Perpendicular lines are often encountered in geometry and can be useful in various applications, such as finding the distance between a point and a line or constructing right angles.
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