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# How do you find the equation of the perpendicular bisector of a line segment?

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Write an equation into point-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 theslope 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 isfind their midpoint and negative reciprocal, and plug theseanswers into the equation for a line inslope-intercept form.

Also, how do you find the equation of a line through two points? 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 aline passes through, this page will show you how tofind 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

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

How do you find a perpendicular equation?

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 tofind is 1/2. Plugging in the point given into theequation y = 1/2x + b and solving for b, we get b =6.

Professional

## How do you find the equation of a circle?

The center-radius form of the circle equation isin the format (x – h)2 + (y – k)2= r2, with the center being at the point (h, k) and theradius being "r". This form of the equation is helpful,since you can easily find the center and theradius.

Explainer

## Which equation is a point slope form of the equation of this line?

The equation of a line is typicallywritten as y=mx+b where m is the slope and b is they-intercept. If you a point that a line passesthrough, and its slope, this page will show you how to findthe equation of the line.

Explainer

## What is the difference between perpendicular and perpendicular bisector?

Perpendicular means a line making an angle90° either with its horizontal or vertical. And aperpendicular bisector is that line which liesbetween these lines and making an angle of 45°with both the lines. What is the difference between abisector and a perpendicular bisector?

Pundit

## How do you copy a line segment?

Start with a line segment PQ that we willcopy. Mark a point R that will be one endpoint of the newline segment. Set the compasses' point on the point P of theline segment to be copied. Adjust the compasses'width to the point Q. The compasses' width is now equal to thelength of the line segment PQ.

Pundit

## How do you copy an angle?

How to Copy an Angle Using a Compass
1. Draw a working line, l, with point B on it.
2. Open your compass to any radius r, and construct arc (A, r)intersecting the two sides of angle A at points S and T.
3. Construct arc (B, r) intersecting line l at some point V.
4. Construct arc (S, ST).
5. Construct arc (V, ST) intersecting arc (B, r) at point W.

Pundit

## What is a right bisector?

Definition: A line which cuts a line segment into twoequal parts at 90°. Try this Drag one of the orange dots at Aor B and note the the line AB always divides the segment PQ intotwo equal parts. When it is exactly at right angles to PQ itis called the perpendicular bisector.

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21st May, 2021

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