How to find the 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 .

How do you find the equation of a line?

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

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 a perpendicular line look like?

Perpendicular lines are two or more lines that intersect at a 90-degree angle, like the two lines drawn on this graph, and the x and y axes that orient them. In our daily lives, we may be happy to call two lines perpendicular if they merely seem to be at right angles to one another.

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 know if a slope is parallel or perpendicular?

In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line.

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.

What is the slope of perpendicular?

Perpendicular Lines and Slopes The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m.

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 straight line formula?

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

How do you write an equation for a line on a graph?

The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b). When you know the slope and the y-intercept of a line you can use the slope-intercept form to immediately write the equation of that line.

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