Step-by-step explanation:
a)
first step: find the gradient slope of line AB
A(-1,-2) B(7,2)
gradient=change in y/change in x
M=[2-(-2)]/[7-(-1)
M=4/8
M=1/2
the gradient of the straight line is given by
M1*M2=-1
1/2*M2=-1
multiply both sides by the reciprocal of 1/2
2*1/2*M2=-1*2
M2= -2.
b)
first find the mind point of line AB
A(-1,-2) B(7,2)
M.P=(x1+x2)/2 ,(y+y2)/2
M.P=(-1+7)/2 ,(-2+2)/2
M.P=6/2 ,0/2
M.P=3,0
ALSO THE GRADIENT PERPENDICULAR TO LINE AB IS;
M= -2
equation of a line perpendicular to AB and passes through the midpoint of AB
Y-Y1=M(X-X1). (3,0). M=-2
y-0=-2(x-3)
y= -2x+6
