3.4 FINDING AND USING SLOPESGEOMETRYMr. Saucedo

OBJECTIVE:

We will find and compare slopes of lines.

QUESTION:

Which of these two rides have a ste steeper slope?

How do you know?

Which of these has aNegative slope?Positive slope?

SLOPE

DEFINITION: The ratio of a vertical change (rise) to

horizontal change (run) between any two points on the line.

VISUAL

FORMULA

GUIDED EXAMPLE

FIND THE SLOPE OF THE LINE THAT PASSES THROUGH THE POINTS (-3, 0) AND (-2, 4).

CHECKPOINT

FIND THE SLOPE OF THE LINE THAT PASSES THROUGH THE POINTS (1, 2) AND (-1, -4)

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

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GUIDED PRACTICE

Find the slope of the line.

BIG QUESTION:If we choose different points on the line,

will our answer change?

CHECKPOINT

Find the slope of theLine.

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

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PARALLEL LINES

HAVE

EQUAL

SLOPES!!!

CHECKPOINT

If the red and blue Lines are parallel, andThe red line has a Slope of -4, then what’sThe slope of the blue line?

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

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PERPENDICULAR LINES

HaveNegative

Reciprocal Slopes

CHECKPOINT

Line R and Line S are perpendicular. The slope of line R is -3. What is the slope of line S.

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GUIDED QUESTION

Find the slopes of Each line. Which areParallel?

Guided Question

Draw the line that goes through the point (3,-2) with slope -1/6.

CHECKPOINT

Tell whether the lines through the given points are parallel, perpendicular or neither.

Line 1: (-3,1), (-7,-2)Line 2: (2,-1), (8,4)

GUIDED QUESTION

CHECKPOINT

According to this graph, how much snow is lost per day?

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

CHECKPOINT

How much snow was there on the first day that the data started being recorded?

SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...

INDEPENDENT WORK

Enter the answers to the following problems on the book. Page 175.

1. Problem 32. Problem 43. Problem 54. Problem 65. Problem 8

6. Problem 15

7. Problem 248. Problem 339. Problem 34

HOMEWORK

WORKBOOK PAGES 52 – 53.

PROBLEMS 1 – 31 ODDS.