Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of...

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Finding the Slope of a Line From Two Points

Transcript of Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of...

Page 1: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

Finding the Slope of a LineFrom Two Points

Page 2: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

Given the points:(3, 4) and (2, 6)

Find the slope of the line.

y2 – y1

x2 – x1

=

x1, y1 x2, y2

6 4

2 3

– –

5

-5

-5

5

= =2

-1-2

Problem 1

Page 3: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

Given the points:(3, 0) and (6, 2)

Find the slope of the line.

y2 – y1

x2 – x1

=

x1, y1 x2, y2

2 (0)

6 (3)

– –

5

-5

-5

5

=2

3

Problem 2

Page 4: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

Given the points:(0, 8) and (-3, 10)

Find the slope of the line.

y2 – y1

x2 – x1

=

x1, y1 x2, y2

10 (8)

-3 (0)

– –

5

-5

-3

5

=2

-3

Problem 3

Page 5: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

Given the points:(0, 9) and (4, 7)

Find the slope of the line.

y2 – y1

x2 – x1

=

x1, y1 x2, y2

7 (9)

4 (0)

– –

5

-5-2

5

= =-2

4-½

Problem 4

Page 6: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

Given the points:(3, -2) and (1, 2)

Find the slope of the line.

y2 – y1

x2 – x1

=

x1, y1 x2, y2

2 (-2)

1 (3)

– –

5

-5

-5

5

= =4

-2-2

Problem 5

Page 7: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

Given the points:(-2, 3) and (3, -6)

Find the slope of the line.

y2 – y1

x2 – x1

=

x1, y1 x2, y2

-6 (3)

3 (-2)

– –

5

-5

-5

5

=-9

5

Problem 6

Page 8: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

Given the points:(-1, 0) and (-3, -6)

Find the slope of the line.

y2 – y1

x2 – x1

=

x1, y1 x2, y2

-6 (0)

-3 (-1)

– –

3

-5

-5

5

= =-6

-23

Problem 7

Page 9: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

Given the points:(0, 0) and (-4, -8)

Find the slope of the line.

y2 – y1

x2 – x1

=

x1 , y1 x2, y2

-8 (0)

-4 (0)

– –

2

-5

-5

= =-8

-42

Problem 8

5

Page 10: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

Slope of Vertical and Horizontal

Lines

Page 11: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

y2 – y1

x2 – x1

= -4 (-4)

-3 (5)

– –

2

-4

-5

= =0

-8zero

Problem 9

5

Given the points:(5, -4) and (-3, -4)

x1, y1x2, y2

Page 12: Finding the Slope of a Line From Two Points. Given the points: (3, 4) and (2, 6) Find the slope of the line. y 2 – y 1 x 2 – x 1 = x 1, y 1 x 2, y 2 6.

Given the points:(-4, -3) and (-4, 2)

y2 – y1

x2 – x1

=2 (-3)

-4 (-4)

– –

2

-4

-5

= =5

0Undefined

Problem 10

5

x1, y1x2, y2