SOLUTION: Write an equation for the perpendicular bisector of the line segment connecting A(-1, 4) and B(3, 5). The perpendicular bisector of a line segment AB is the line that is perpendicu

Question 220888: Write an equation for the perpendicular bisector of the line segment connecting A(-1, 4) and B(3, 5). The perpendicular bisector of a line segment AB is the line that is perpendicular to AB and cuts AB into two equal pieces
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
an equation for the perpendicular bisector of the line segment connecting A(-1, 4) and B(3, 5).
The perpendicular bisector of a line segment AB is the line that is
perpendicular to AB and cuts AB into two equal pieces
:
Find the slope (m1) of the given line segment
x1 = -1; y1 = 4
x2 = 3; y2 = 5
:
m1 = = =
:
Find the midpoint of the line:
m.p. = ,
m.p. = ,
m.p. = x=1, y=4.5; is the mid-point
:
Find the slope of the perpendicular line
*m2 = -1
m2 = 4(-1)
m2 = -4
:
Find equation of the bisecting line using this slope and the midpoint
y - 4.5 = -4(x - 1)
y - 4.5 = -4x + 4
y = -4x + 4 + 4.5
y = -4x + 8.5; is the bisecting perpendicular line
RELATED QUESTIONS
Write the equation for the perpendicular bisector of the line segment connecting the... (answered by ikleyn)

write an equation of the perpendicular bisector of the line segment whose endpoints are... (answered by ewatrrr)

bisect the segment connecting A(4,-3) and... (answered by ewatrrr)

find an equation of the perpendicular bisector of line segment AB: A(-9,-3),... (answered by venugopalramana)

The question is write an equation for the perpendicular bisector of the line segment... (answered by mananth)

Triangle ABC has vertices A (-5, 4), B (1, -2) and C (3, 6), (a)Write the equation of... (answered by D'Leeter,Edwin McCravy)

Write the equation of the perpendicular bisector of the line segment with endpoints... (answered by MathLover1)

Please help me with this problem. Find a general form of an equation for the... (answered by josgarithmetic,MathTherapy)

Write an equation of the line that is the perpendicular bisector of the line segment... (answered by stanbon)