Question

Points A and B have coordinates (7,-3) and (1,9) respectively,find:

a. Slope of AB.

b. The equation of the perpendicular bisector of line segment AB.

c. The value of 'p' if (-2,p) lies on it.

Answer 1

Answer:

a) slope= y2-y1/x2-x1

=9-(-3)/1-7

=9+3/-6

=12/-6

=-2

Answer 2

Answer:

x-2y+2=0

Step-by-step explanation:

b. since the slope of the line perpendicular bisector of the line segment AB, m1×m2=-1 => -2 ×m2=-1 =>m2 =1/2 M is the mid point of AB. M= [7+1/2 , -3+9/2] = (8/2, 6/2) = (4, 3) therefore , the equation of the perpendicular bisector through point (4,3) , y- y1 = m2 (x- x1). => y- 3=1/2 ( x-4). => 2y-6 =x-4 => x-2y-4+6=0. => x-2y+2=0