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