Perpendicular lines are those that form a right angle at the point at which they intersect. Parallel lines, though in the same plane, never intersect.
Perpendicular lines are lines that intersect one another at a 90 degree angle. If two lines are perpendicular, then multiplying the slopes of the two lines together equals -1.
One common example of perpendicular lines in real life is the point where two city roads intersect. When one road crosses another, the two streets join at right angles to each other and form a cross-type pattern. Perpendicular lines form 90-degree angles, or right angles, to each other on a two-dime
In Euclidean geometry, two perpendicular lines intersect at a single point called the intersection. If the two lines are y = ax + b and y = cx + d, then their intersection has x coordinate (d-b)/(a-c) and y coordinate [a(d-b)/(a-c) + b].
Perpendicular parking is done at a 90-degree angle to the curb. Perpendicular spaces make maneuvering the vehicle more difficult than angle parking, but the procedure requires fewer steps than parallel parking.
To find a line's equation, identify two of the points through which the line passes, and then use the "x" and "y" coordinates to find the slope of the line, or the rate at which it climbs or falls. Use the slope to find the line's intersection with the y-axis.
A triangle can have two perpendicular sides. If two sides are perpendicular, the angle they form is a right angle. A triangle can have only one right angle.
A line that is perpendicular to the x-axis has an undefined slope. All of the points on such a line have the same x-coordinate. If the value of x never changes, then the formula for slope, (y2 - y1)/(x2 - x1), has a denominator of zero, which is mathematically undefined.
The phrase "perpendicular lines intersect to form right angles" can be turned into an if-then statement by saying: If perpendicular lines intersect, then the lines form right angles. It can also be phrased as: If two lines form right angles, then the lines are perpendicular.
Find the slope of the line (m), and the place where the line crosses the y-axis, known as the y-intercept (b), to write the equation in slope-intercept form, y = mx + b. Use the equation to find the y value for any x on that line.