Equation of a perpendicular line

What is the rule for perpendicular lines?

To be perpendicular, they only need to have opposite reciprocal slope. For example, the lines, y=3x+8 and y= -(1/3)x-3 would be perpendicular because -1/3 is the opposite reciprocal of 3.

What is the slope of a line perpendicular to Y =- 7 4x?

Using the slope-intercept form, the slope is −74 . The equation of a perpendicular line to y=−7×4 y = – 7 x 4 must have a slope that is the negative reciprocal of the original slope. Simplify the result. Cancel the common factor of 1 1 and −1 – 1 .

What is an example of a perpendicular line?

Perpendicular lines occur anytime two lines meet at a 90° angle, also known as a right angle. Sometimes, you will see a little square in the corner of an angle, to show it is perpendicular. There are many examples of perpendicular lines in everyday life, including a football field and train tracks.

How do you solve parallel lines and perpendicular lines?

Step 1: Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5.

What is the slope of a perpendicular line?

Therefore, the slope of the original line is 1/2. A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.

How do you determine if two lines are parallel?

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

What is the equation of the line?

The equation of a straight line is usually written this way: y = mx + b.

What is the slope of a line perpendicular to Y 7?

Explanation: The line y = -7 is a horizontal line running through the y axis at -7. This line has a slope of 0 because it does not rise. Any x = line will run vertically on the coordinate grid and therefore be perpendicular to the y = -7 line.

How do you know if something is perpendicular?

Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other.

What is a perpendicular line in math?

CCSS.Math: 4.G.A.1. Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

What are 2 perpendicular lines?

If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular. Horizontal and vertical lines are perpendicular to each other i.e. the axes of the coordinate plane. The slopes of two perpendicular lines are negative reciprocals.

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