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##### Asked by: Xiaodong Uribaster

science space and astronomy# How do you find the equation of the perpendicular bisector of a line segment?

**slope**form, y - k =m(x - h), since the

**slope**of the perpendicular bisector anda point (h, k) the bisector goes through is known. Solve thepoint-

**slope**equation for y to get y = mx + b. Distribute the

**slope**value. Move the k value to the right side of theequation.

Accordingly, how do you find the equation of a perpendicular bisector given two points?

A **perpendicular bisector** is a **line** thatcuts a **line** segment connected by **two points** exactlyin half by a 90 degree angle. To **find** the **perpendicularbisector** of **two points**, all you need to do is**find** their midpoint and negative reciprocal, and plug theseanswers into the **equation** for a **line** inslope-intercept form.

**Find**the

**Equation of a Line**Given That YouKnow

**Two Points**it Passes

**Through**. The

**equation ofa line**is typically written as y=mx+b where m is the slope andb is the y-intercept. If you know

**two points**that a

**line**passes

**through**, this page will show you how to

**find**the

**equation**of the

**line**.

Also know, how do you find the perpendicular bisector of a line segment using a compass?

**Line Segment Bisector, Right Angle**

- Place the compass at one end of line segment.
- Adjust the compass to slightly longer than half the linesegment length.
- Draw arcs above and below the line.
- Keeping the same compass width, draw arcs from other end ofline.
- Place ruler where the arcs cross, and draw the linesegment.

First, put the **equation** of the line given intoslope-intercept form by solving for y. You get y = 2x +5, so theslope is –2. **Perpendicular** lines haveopposite-reciprocal slopes, so the slope of the line we want to**find** is 1/2. Plugging in the point given into the**equation** y = 1/2x + b and solving for b, we get b =6.