P = ( - 2 , 4 ) , Q = ( 1, - 5)
a) distance = sqrt [ ( - 5 - 4)^2 + ( 1 + 2)^2 ]
distance = sqrt 90
distance = 3 sqrt 10
b) mid point = ( - 2 + 1 / 2 , 4 + 5 / 2 )
= (-1/2 , 9/2 )
c) slope = y2 - y2 / x2 - x1
= ( - 5 - 4 ) / ( 1 + 2 )
slope = - 3
d) equation of line
y - y1 = m ( x- x1 )
y - 4 = - 3 ( x+ 2 )
y = - 3x - 2
e) equation of perpendicular line
slope of perpendicular line = 1/3
y - 7 = 1/3 ( x- 5)
y = 1/3 x + 16/3
f) equation of horizontal line through P
y = 4
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