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How do you work out an equation for the perpendicular bisector of the line segment AB when A is at -4 8 and B is at 0 -2?
First find the midpoint of the line segment AB which is: (-2, 3)
Then find the slope of AB which is: -5/2
The slope of the perpendicular bisector is the positive reciprocal of -5/2 which is 2/5
Then by using the straight line formula of y-y1 = m(x-x1) form an equation for the perpendicular bisector which works out as:-
y-3 = 2/5(x-(-2))
y = 2/5x+4/5+3
y = 2/5x+19/5 => 5y = 2x+19
So the equation for the perpendicular bisector can be expressed in the form of:-
2x-5y+19 = 0
What else can I help you with?
What is a line that is perpendicular to the line segment intersecting the line segment at its midpoint?
perpendicular bisector
what is true about the creased bisector and the line segment that is bisected?
The bisector and the line segment are perpendicular to each other.
What is the converse of the perpendicular bisector theorem?
Converse of the Perpendicular Bisector Theorem - if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.Example: If DA = DB, then point D lies on the perpendicular bisector of line segment AB.you :))
What does a perpendicular bisector do?
A perpendicular bisector [for a given line segment] is a line that meets it at 90 degrees and divides it into two halves.
What are the steps for finding the perpendicular bisect of a line segment?
To find the perpendicular bisector of a line segment, first, determine the midpoint of the segment by averaging the x-coordinates and y-coordinates of the endpoints. Next, calculate the slope of the line segment and find the negative reciprocal of that slope to get the slope of the perpendicular bisector. Then, use the midpoint and the new slope to write the equation of the perpendicular bisector in point-slope form. Finally, you can convert it to slope-intercept form if needed.
What is the difference between a perpendicular bisector and a angle bisector?
A perpendicular bisector is a line that divides a given line segment into halves, and is perpendicular to the line segment. An angle bisector is a line that bisects a given angle.
What is a perpendicular bisector of a line segment?
The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.
What is a line that is perpendicular to the line segment intersecting the line segment at its midpoint?
perpendicular bisector
What is a line perpendicular to a segment at the segment's midpoint?
It's called a perpendicular bisector of the line segment.
What of a segment is a line segment or ray that is perpendicular to a segment at its midpoint?
Perpendicular Bisector
what is true about the creased bisector and the line segment that is bisected?
The bisector and the line segment are perpendicular to each other.
What is the perpendicular bisector equation to the line segment of -1 -6 and 5 -8?
Points: (-1, -6) and (5, -8) Midpoint: (2, -7) Perpendicular slope: 3 Perpendicular bisector equation: y = 3x -13
What is the converse of the perpendicular bisector theorem?
Converse of the Perpendicular Bisector Theorem - if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.Example: If DA = DB, then point D lies on the perpendicular bisector of line segment AB.you :))
What is the difference between a perpendicular line and a perpendicular bisector?
A perpendicular line is one that is at right angle to another - usually to a horizontal line. A perpendicular bisector is a line which is perpendicular to the line segment joining two identified points and which divides that segment in two.
What is the perpendicular bisector equation of the line segment whose endpoints are at 2 9 and 9 2?
Endpoints: (2, 9) and (9, 2) Midpoint: (5.5, 5.5) Slope of line segment: -1 Perpendicular slope: 1 Perpendicular bisector equation: y-5.5 = 1(x-5.5) => y = x
What does a perpendicular bisector do?
A perpendicular bisector [for a given line segment] is a line that meets it at 90 degrees and divides it into two halves.
Does a line segment bisector always be perpendicular to the original irie?
Not sure what an "irie" is. But a bisector does not need to be perpendicular.
