How to write an equation perpendicular to a line

Find the slope and the y-intercept of the line. This example is written in function notation, but is still linear. As shown above, you can still read off the slope and intercept from this way of writing it. We can get down to business and answer our question of what are the slope and y-intercept.

How to write an equation perpendicular to a line

Parallel Lines and Their Slopes 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. Perpendicular Lines and Their Slopes In other words, perpendicular slopes are negative reciprocals of each other.

If you need more of a review on how to use this form, feel free to go to Tutorial This form can be handy if you need to find the slope of a line given the equation. Find the slope of any line that is a parallel and b perpendicular to the line.

Before we tackle finding the parallel and perpendicular slopes it really can help us out if we find the slope of the given line.

how to write an equation perpendicular to a line

If you said -7, you are correct!!! Slope of the parallel line: Since parallel lines have the same slope what do you think the slope of any parallel line to this line is going to be?

Pat yourself on the back if you said Slope of the perpendicular line: Since the slopes of perpendicular lines are negative reciprocals of each other, what do you think the slope of any perpendicular line to this line is? Find the slope of the line that is a parallel and b perpendicular to the line.

Since parallel lines have the same slope what do you think the slope of the parallel line is going to be? Since the slopes of perpendicular lines are negative reciprocals of each other, what do you think the slope of the perpendicular line is?

Do you remember what special type of line this equation is? It is a vertical line. If you need a review on vertical lines, feel free to go to Tutorial What is the slope of a vertical line?

If you said undefined, you are right on. Since parallel lines have the same slope, what do you think the slope of the parallel line is going to be? Pat yourself on the back if you said undefined.

Since slopes of perpendicular lines are negative reciprocals of each other, what do you think the slope of the perpendicular line is?

This one is a little trickier. Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a horizontal line which would be 0.

The slope of the parallel line is undefined and the slope of the perpendicular line is 0. It is a horizontal line. If you need a review on horizontal lines, feel free to go to Tutorial What is the slope of a horizontal line?

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If you said 0, you are right on. Pat yourself on the back if you said 0. The slope of the perpendicular line in this case would be the slope of a vertical line which would be undefined. The slope of the parallel line is 0 and the slope of the perpendicular line is undefined.

how to write an equation perpendicular to a line

When writing an equation of a line, keep in mind that you ALWAYS need two pieces of information when you go to write an equation: What are the two things we need to write an equation of a line????

If you said any point on the line and the slope, you are correct. We have a point, however what about the slope? You are not going to get off that easily.

Introduction

We need to do a little digging to get our slope. As mentioned above, parallel lines have the same slope. So, if we know the slope of the line parallel to our line, we have it made.This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept. (For a review of how this equation is used for graphing, look at slope and graphing.).

I like slope-intercept form the best. Improve your math knowledge with free questions in "Write an equation for a parallel or perpendicular line" and thousands of other math skills. Let's find the equation of the line that passes through the point (1, 3) and is perpendicular to the line.

Improve your math knowledge with free questions in "Write an equation for a parallel or perpendicular line" and thousands of other math skills. Students are often asked to find the equation of a line that is perpendicular to another line and that passes through a point.

Watch the video tutorial below to understand how to do these problems and, if you want, download this free worksheet if you want some extra practice. Video Tutorial. Simply knowing how to take a linear equation and graph it is only half of the battle.

You should also be able to come up with the equation if you're given the right information.

Perpendicular Lines 2 | kaja-net.com