# Write an equation of the perpendicular bisector of the line segment

Redraw the above example assuming all charges are positive. Also, use the same y-distances of 5. Given A 2,7 and B -2,-1write the equation of the line that is the perpendicular bisector of line segment AB. To define a line, you need either two points or a point and the slope. To bisect, you need the midpoint.

To find that, you just take the average of the x-coordinates and the average of the y-coordinates. The slope is the negative reciprocal of the line you are perpendicular to. You now have the slope and a point on the line.

You now have the equation for the line. I need to write and equation of the perpendicular bisector of segment AB.

The line segment joining AB is on the y axis vertical line with midpoint 3,0. Since it must be perpendicular that makes the bisector horizontal through 3,0. Since it must be perpendicular that makes the bisector vertical through 0,2. Any points on this line must have 2 as its x-coordinate such as 2,5 2, -3 Question: What is the equation of a line which is the perpendicular bisector of the segment joining points -8, 6 and 6, 6?

Not gonna answer for you but here is what you must do first find the equation of the line of which the points are given in the question - this way you will know the slope of the line Next take the negative reciprocal of the slope of line above and this is the slope of your perpendicular bisector Once you have this you must now find the mid point of the very first line bcuz the perpendicular bisector will intersect that line on the midway point Now you have your point on the perpendicular Bisector and the slope solve for y intercept From Youtube Writing Equations for Parallel and Perpendicular lines: This will show you how to write the equation of a line parallel or perpendicular to another given a point and the equation of the other line.Equation of a line that passes halfway between two points (in other words, divides the space) 0 whats the general step by step formula for finding an equation for a plane passing 2 points perpendicular to a plane?

Watch video · Given line A and point P, Sal finds the equation of the line perpendicular to A that passes through P. Given line A and point P, Sal finds the equation of the line perpendicular to A that passes through P. If you're seeing this message, it means we're having trouble loading external resources on our website. The perpendicular bisector of a line segment is the locus of points on the plane that are equidistant from the endpoints.

Example. Find the equation of the perpendicular bisector of the line segment with endpoints A = (2, 5) and B = (4, −7). Each question is a chance to learn. Take your time, use a pencil and paper to help. Try to pass 2 skills a day, and it is good to try earlier years.

perpendicular bisector is a line that is perpendicular to a line segment (or line joining two points) and passes through the mid-point of the line segment.

For the given points A(7,2) and B(3,0), the mid point D is given by. You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and .

How to write an equation of a Perpendicular Bisector