Asked by: Xiaodong Uribaster
science space and astronomy

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

Last Updated: 21st May, 2021

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.

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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.

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What is the difference between perpendicular and perpendicular bisector?

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What is a right bisector?

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