2.5 Geo H Slope and Midpoint.notebook
September 21, 2015
2.5 Slope and Midpoint
I CAN...
Apply midpoint formula to find missing endpoints
Midpoint Formula
The midpoint between points (x1 , y1 ) and (x2 , y2 ) is:
M=
Apply slope formula to show lines are parallel, perpendicular, or intersecting
Jul 11­10:27 AM
Find the midpoint of the segment with endpoints (­4, ­6) and (5, ­1).
Jul 15­10:25 AM
Find the missing endpoint of the segment with endpoint (3, ­5) and midpoint (­1, 2).
Jul 15­10:25 AM
Jul 15­10:25 AM
Find the coordinates of the missing endpoint if B is the midpoint of AC, C(­7, ­4) and B(3, 5)
Jul 15­10:25 AM
Find the missing endpoint of the segment with endpoint (4, ­3) and midpoint (9/4, 3/4).
Jul 15­10:25 AM
1
2.5 Geo H Slope and Midpoint.notebook
Slope Formula
Given (x1 , y1 ) and (x2 , y2 ) the slope of the line is:
y ­y
x ­x
m = 2
1
2
1
m = September 21, 2015
Given points C(5, ­2) and D(­6, 11), find the slope of CD.
rise
run
Jul 15­10:25 AM
Jul 15­10:25 AM
y = mx + b
Parallel, Perpendicular, or Intersecting?
Parallel Lines have the same slope
1
y = x + 3
2
1
y = x ­ 5
2
and Perpendicular Lines have opposite reciprocal slopes
1
y = x + 3
4
FG
H (5, 0) J (6, 3)
y = ­4x ­ 7
and Jul 15­10:25 AM
Jul 15­10:25 AM
Parallel, Perpendicular, or Intersecting?
AB
A (­2, ­1)
B (4, 5)
HJ
F (1, ­3)
G (­2, ­1)
Quadrilateral WXYZ is graphed below. Is WX ZY?
Explain
CD
C (6, 1) D (9, ­2)
W
X
Is WZ ZY?
Explain
Z
Y
Jul 15­10:25 AM
Jul 15­10:25 AM
2