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
That 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.
Perpendicular lines passing through a point are at right angles to each other.
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).
The simplest answer is y = 0 and x = 0.
These lines are perpendicular: _|
Lines that aren't perpendicular
Perpendicular lines passing through a point are at right angles to each other.
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).
The simplest answer is y = 0 and x = 0.
= 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.
Perpendicular lines intersect.
These lines are perpendicular: _|
Lines that aren't perpendicular
perpendicular.
PERPENDICULAR
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!
Lines that intersect at 90 degrees are perpendicular lines
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. !!!!!