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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
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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.
What are 4 things in geometry that determine a plane?
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How do you use slope to determine a potato?
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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 do you calculate parallel and perpendicular lines in a given plane?
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In Geometry
How do you use slope to determine if two lines are perpendicular?
You have to know the slopes of both lines. -- Take the two slopes. -- The lines are perpendicular if (one slope) = -1/(the other slope), or the product of the slopes equals to -1.
How many lines are therein a space that are perpendicular bisectors of a given segment?
one
