a) A(3,4) , B(7,8)

. of scoordinate theFind circle. theofcenter theis anddiameter, a of endpoints are and circle, aIn .4

PPBA

P(5,6) 6,5

b) A(-5,-2) , B(3,7)

. of scoordinate theFind circle. theofcenter theis anddiameter, a of endpoints are and circle, aIn .4

PPBA

P(-1,2.5)

5.2,1

a) A(0,0) , B(10,0)

C(7,5) , D(3,5)

Down 5

Left 3

:ices with vertralquadrilate a of sides theof midpoints theFind .6

)0,5(ABM

)5.2,5.8(BCM

)5,5(CDM

)5.2,5.1(DAM

Down 5

Right 3

.point of scoordinate theFind (8,10).point of and (8,4) are point of scoordinate The . ofmidpoint theis .7

DMCCDM

)16,8(D

)16,8(D

SlopeSlope

Page 3Page 3

Slope FormulaSlope Formula

m m = slope= slope

21

21

xx

yym

run

risem

AlgebraicallyGraphically

Identifying Slopes

No Slope

Positive Slope Negative Slope

Zero SlopeUndefined Slope

HOY-VUX

No SlopeZero Slope

Undefined Slope

H - Horizontal Line

0 - zero slope

Y - equation is y = (constant)

V - Vertical Line

U - Undefined slope

X - equation is x = (constant)

0ABm

13

3CDm

undefinedEFm

32

6

GHm

2

1

4

2JKm

31

3LMm

0PQm

UndefinedRSm

51

5-TUm

11

1-VWm

12

12

xx

yym

Example: Find the slope of the line with endpoints A(-3,-1) and B(2,5)

)3(2

)1(5

m

11 , yx 22 , yx

5

6m

6y

5x

OR

x

ym

5

6m

12

12

xx

yym

Find the slope of the line with endpoints A (4,2) and B(7,2)

47

22

m

11 , yx 22 , yx

3

0m

0m

12

12

xx

yym

Find the slope of the line with endpoints A (-3,5) and B(-3,-1)

33

51

m

11 , yx 22 , yx

0

6m

undefinedm

12

12

xx

yym

4. Find the value of k so that the slope of the line passing through the points (5,3) and (k,6) will be 1.

5

36

1

1

k

11 , yx 22 , yx

53 k

k8

6,8

15. Draw a line with the given slope m that passes through the given point.

4

1 ,1,4 m

HomeworkHomework

Page 3: 2 f,i,l, 6, 7, 16Page 3: 2 f,i,l, 6, 7, 16

2f) Plot both points, draw the line determined by the two points, and find the slope of the line.

)0,6( and )3,0(

-3

6

x

ym

2

1

6

3

m

2i) Plot both points, draw the line determined by the two points, and find the slope of the line.

5

1

x

ym

51

5m

2l) Plot both points, draw the line determined by the two points, and find the slope of the line.

-6

2

x

ym

2

6m

6) Find the value of k so that the slope of the line passing through the points (-8,-2) and (4,y) will be 0.

12

12

xx

yym

)8(4

)2(0

y

12

2

1

0

y

20 y2 2

2y

2,4

7) Find the value of x so that the line passing through the points (-4,8) and (x,-2) will have no slope.

2,4

4x

16) Draw a line with the given slope m through the given point.

2

1 ),5,3( m