In this section, we will learn how to create an equation that represents the **right bisector**. A **right bisector **is a line that passes through the midpoint of a line at 90 degrees; it is sometimes called a *perpendicular bisector*. Given that it is a line, all lines can be represented in form:

y = mx + b

Where **m** represents the **slope**, and **b** represents the **y-coordinate of the y-intercept**.

Since the right bisector is at 90 degrees, in other words *perpendicular* to the line, you may need to touch up on a subject that you look at in Grade 9. Any line that is perpendicular to another has a slope that is the negative reciprocal of the other. So, if you have a slope m=3/2, the negative reciprocal of 3/2 is â€“2/3. This is explained in the video below.

- If you already familiar with this, you can skip to the next video.

Let’s take a look at an example involving the **right bisector**.

Question:Two schools are located at the points

P(-1,4) andQ(7,-2) on a town map. The school board is planning a new sports complex to be used by both schools. The board wants to find a location that isequidistantfrom the two schools. Use an equation to represent the possible locations for the sports complex.