1.) (2, 4) and (10, 8)
Distance: 4√5
Midpoint: (6, 6)
2.) (3, 8) and (7, 3)
Distance: √41
Midpoint: (5, 11/2)
3.) (4, 9) and (9, 5)
Distance: √41
Midpoint: (13/2, 7)
Observing there is a difference of +8 between each f(x).
The slope of this sequence is 8.(y2-y1)/(x2-x1)
Using the point slope equation,
y-y1 = m(x-x1) yields
y = 8x -4 as the answer.
EXPLANATION
-A rectangle is a parallelogram. True. Every rectangle is a parallelogram.
-A square is a rhombus. True. Every square is a rhombus.
Every rhombus is a rectangle-->This is NOT always true when the rhombus has not right angles.
-True --> A square is a special type of rectangle because it possesses all the properties of a rectangle.
