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What two perpendicular lines have the same y-intercept and do not pass through the origin?
Wiki User
∙ 14y ago
The general equation of a straight line is y = mx + c.
m is the gradient of the line, and c is the y-intercept. Two lines are perpendicular to each other if their gradients are the negative reciprocals of each other. This means that, if one line has gradient 2, all lines which are perpendicular to it (in 2D) will have a gradient of -1/2.
A line passes through the origin if it has a y-intercept of 0 - this is c. So, the two lines must have a non-zero value of c as well as having the correct gradients as described above.
For example, two lines which meet the prescribed conditions are:
y = 2x - 3 and y = (-1/2)x + 674
Another two such lines are:
y = x + 5 and y = 3 - x
Wiki User
∙ 14y ago
Wiki User
∙ 12y agoThat same description could apply accurately to an
infinite number of pairs of perpendicular lines.
One line would have a positive slope in which one point on the line would be (0,y) and (-x,0), and the other line would have a negative slope in which one point on the line would be (0,y) and (x,0), in which the point (0,y) is the same for both lines, and in which the values for x in the points (x,0) and (-x,0) are the additive inverses of each other.
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What are two lines that are perpendicular that passes through point?
Perpendicular lines passing through a point are at right angles to each other.
Can perpendicular lines intersect?
Yes, perpendicular lines do intersect at a single point. Think of the line representing the x-axis, and the line representing the y-axis. These two lines are perpendicular, and they intersect at the Origin (a single point).
What are the two perpendicular lines of a coordinate plane that intersect at the origin?
The simplest answer is y = 0 and x = 0.
Does an equilateral have parallel lines or perpendicular lines?
PERPENDICULAR
Does a rectangle have perpendicular lines and parallel lines?
perpendicular.
What are two lines that are perpendicular that passes through point?
Perpendicular lines passing through a point are at right angles to each other.
Can perpendicular lines intersect?
Yes, perpendicular lines do intersect at a single point. Think of the line representing the x-axis, and the line representing the y-axis. These two lines are perpendicular, and they intersect at the Origin (a single point).
What are the two perpendicular lines of a coordinate plane that intersect at the origin?
The simplest answer is y = 0 and x = 0.
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.
What is similar about perpendicular lines and intersecting lines?
Perpendicular lines intersect.
How do examples of perpendicular lines look?
These lines are perpendicular: _|
What are non-perpendicular lines?
Lines that aren't perpendicular
Does a rectangle have perpendicular lines and parallel lines?
perpendicular.
Does an equilateral have parallel lines or perpendicular lines?
PERPENDICULAR
Does an isosceles trapezium have any perpendicular lines?
In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!
Which pair of lines is perpendicular?
Lines that intersect at 90 degrees are perpendicular lines
Two lines perpendicular to the same line are perpendicular to each other true or false?
TRUE:: The first two lines lie in the same plain, but are perpendicular to each other. The third line passes through the plane of the first two lines so it is also perpendicular. Think 3-dimension. !!!!!
