Question

the equation of line bisecting perpendicularly the segment joining the points (-4,6) and (8,8) is​

Answer 1

Answer:

answer is 6x+y-19=0

Step-by-step explanation:

the slope of the given line would be (y2-y1)/(x2-x1)=[8-6]/[8-(-4)]=2/12=1/6

slope of the perpendicular line equals to the negative reciprocal of the initial line=-6

the line where the perpendicular bisector meets the initial line is the mid point of the initial line (let's say P)

therefore, the coordinates of point P are (2,7)   [by mid point formula]

substituting all the values in the equation of line (i.e. the perpendicular bisector)

y=mx+c

7=-6*2 + c

7=-12+c

c=7+12

c=19

therefore the equation is y=-6x+19

                                       => 6x+y-19=0