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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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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
