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Lecture 161 Unit 2 Lecture 16 Slope Slope. Lecture 162 Objectives Given two points, calculate the slope of the line through those two pointsGiven two.

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Presentation on theme: "Lecture 161 Unit 2 Lecture 16 Slope Slope. Lecture 162 Objectives Given two points, calculate the slope of the line through those two pointsGiven two."— Presentation transcript:

1 Lecture 161 Unit 2 Lecture 16 Slope Slope

2 Lecture 162 Objectives Given two points, calculate the slope of the line through those two pointsGiven two points, calculate the slope of the line through those two points Given the equation of a line, identify the slope and y intercept.Given the equation of a line, identify the slope and y intercept.

3 Lecture 163 Slope is rise over run. Slope

4 Lecture 164 Find the Slope of the line that passes through (6, -2) and (5, 7). Slope

5 Lecture 165 Plot the points and verify the slope of -9 24 4 2 -2 (6, -2) (5, 7)

6 Lecture 166 Plot the points and verify the slope of -9 24 4 2 -2 (5, 7) (6, -2)

7 Lecture 167 Find the Slope of the line that passes through (8, 2) and (4, -12). Slope

8 Lecture 168 Plot the points and verify the slope of 3.5 24 6 3 -3 -6 -9 -12 (8, 2) (4, -12)

9 Lecture 169 Plot the points and verify the slope of 3.5 24 6 3 -3 -6 -9 -12 (8, 2) (4, -12)

10 Lecture 1610 Find the Slope of the line that passes through (2, 4) and (2, -5). Slope

11 Lecture 1611 Plot the points and verify the slope. 12 2 1 (2, 4) (2, -5)

12 Lecture 1612 Plot the points and verify the slope. 12 2 1 (2, -5) (2, 4)

13 Lecture 1613 Find the Slope of the line that passes through (4, -3) and (-2, -3). Slope

14 Lecture 1614 Plot the points and verify the slope is 0. 12 2 1 (4, -3) (-2, -3) -2

15 Lecture 1615 Plot the points and verify the slope is 0. 12 2 1 -2 (-2, -3) (4, -3)

16 Lecture 1616 Y=mx+b m b Y= m x + b m = slope; b = y-intercept

17 Lecture 1617 Y=mx+b m-3/4 b-5 Y= m x + b m = slope; b = y-intercept

18 Lecture 1618

19 Lecture 1619 24 4 2 -2 (0, -5) (4, -8)

20 Lecture 1620 Y=mx+b m b Y= m x + b m = slope; b = y-intercept

21 Lecture 1621 Y=mx+b m4 b5 Y= m x + b m = slope; b = y-intercept

22 Lecture 1622 y = 4x + 5

23 Lecture 1623 12 4 2 -2 -4 6 8 (1, 9) (0, 5) y = 4x + 5

24 Lecture 1624 y = 4x + 5

25 Lecture 1625 Solve for y in terms of x 3x + 2y = 6 2y = 6-3x Subtract 3x from both sides y = (6-3x)/2 Divide both sides by 2 Write in y = mx + b form

26 Lecture 1626 Y=mx+b m-3/2 b+3 Y= m x + b m = slope; b = y-intercept

27 Lecture 1627 3x + 2y = 6

28 Lecture 1628 12 2 1 (0, 3) (2, 0)


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