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Two lines are perpendicular if the product of their slopes is -1.
A straight line with an equation in the form:
y = mx + c
has slope m and y-intercept c.
Given two lines y = mx +c and y = nx + d they are perpendicular if mn = -1.
Examples:
1) are the two lines y = 2x and 2y = x + 2 perpendicular?
y = 2x
2y = x + 2 → y = 1/2 x + 1
→ product of slopes = 2 x 1/2 = 1 → the lines are not perpendicular
2) are the two lines y + 2x = 5 and 2y = x + 2 perpendicular?
y + 2x = 5→ y = -2x + 5
2y = x + 2 → y = 1/2 x + 1
→ product of slopes = -2 x 1/2 = -1 → the lines are perpendicular
What else can I help you with?
How many lines can be drawn that are perpendicular to a given line?
Infinity
How many lines are therein a space that are perpendicular bisectors of a given segment?
one
How many perpendicular lines are there in a diamond?
Diamonds come in all shapes and sizes, which determine the number of perpendicular lines (assuming you are referring to the edges as the lines) so there is no one number of lines or perpendicular lines on a diamond.
Does perpendicular have parallel lines?
= parallel + perpendicular As such no, perpendicular lines do not naturally have parallel lines. However...connect the lines in the symbols below. ++ ++ And you'll have 4 perpendicular lines, and 4 parallel lines.
Which pair of lines is perpendicular?
Lines that intersect at 90 degrees are perpendicular lines
Do two perpendicular lines determine a plane?
yes they do
How do you determine if 2 lines are parallel perpendicular or neither?
Two lines are parallel if and only if they have the same slope. Two lines are perpendicular if the product of their slopes is -1. If neither of these conditions are met, the lines are nether parallel, or perpendicular.
What are 4 things in geometry that determine a plane?
perpendicular lines
How do you use slope to determine a potato?
If two lines are perpendicular to eachother, they have right angles. The format for perpendicular lines is: x is perpendicular to -1/x. This is called the opposite reciprocal.
How can you determine if two lines are perpendicular?
If the angle formed between the intersecting lines are 90o then the two lines are perpendicular. In 2D coordinate geometry, a perpendicular line has a slope equal to the negative reciprocal of the original line.
How many lines can be drawn that are perpendicular to a given line?
Infinity
How do you calculate parallel and perpendicular lines in a given plane?
Take any two lines and look at their slopes. -- If the slopes are equal, then the lines are parallel. -- If the product of the slopes is -1, then the lines are perpendicular.
Line l is parallel to line m line l is perpendicular to line p what conclusions can be drawn about the relationship between lines m and p?
Lines are parallel if they are perpendicular to the same line. Since the lines m and l are parallel (given), and the line l is perpendicular to the line p (given), then the lines m and p are perpendicular (the conclusion).
How many lines can be drawn perpendicular to a given plane?
Through a given plane, an infinite number of lines can be drawn perpendicular to it. For any point on the plane, there exists exactly one line that is perpendicular to the plane at that point. However, since there are infinitely many points on the plane, this leads to an infinite number of perpendicular lines overall.
How many lines can be drawn perpendicular to a given like through a point not on the given line?
In Geometry
The number of lines that can be drawn perpendicular to a given line at a given point on that line in a plane is?
Only one line can be drawn perpendicular to a given line at a specific point on that line in a plane. This is based on the definition of perpendicular lines, which intersect at a right angle (90 degrees). The uniqueness of this perpendicular line arises from the geometric properties of Euclidean space.
Is x perpendicular?
To determine if two lines represented by the variable ( x ) are perpendicular, we need to know their slopes. Lines are perpendicular if the product of their slopes equals -1. If you have specific coordinates or equations in mind, please provide them for a clear answer.
