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Work with a partner within your group.

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Presentation on theme: "Work with a partner within your group."— Presentation transcript:

1 Work with a partner within your group.
Organize the yellow cards.

2 Open Youtube.com and watch…
How Do I Model and Solve Pairs of Linear Equations? You’ll need your journal and pencil! Song about Slope Graphing a linear function

3 MSA Quiz – Parent Sig, due Friday! Test Monday 1/8 and Tues 1/9
Math CC7/8 – Be Prepared Learning Log: HW: MSA p. 100, #17-19, 26, 28, 31 MSA Quiz – Parent Sig, due Friday! Test Monday 1/8 and Tues 1/9 Title your Journal MSA 4.3 Below the Title write the Focus Question. FQ: How can you predict whether two lines are parallel or perpendicular from their equations??

4 HW: Solving Equations WS #2 - Finish the EVEN
Math CC7/8 – Be Prepared Moving Straight Ahead (MSA) On Desk: Journal: Date: Title: MSA 4.3 Below the Title write the Focus Question: How can you predict whether two lines are parallel or perpendicular from their equations? Warm Up: Have someone check your homework with a PEN! Golden Tracking Sheet and Tuesday’s homework In Your Planner: HW: Solving Equations WS #2 - Finish the EVEN

5 Warm Up - MSA p. 110 #48 48. Solve each equation. Check your answers.
b. 2(x + 5) = x – 8 c. 2(x + 5) = x X = -18 X = -10

6 Tasks for Today Lesson 4.2 Part B
Lesson 4.3 – Exploring Patterns with Lines

7 -1 (4, 4) (5, 3) (6, 2) Make a table? Graph the points?
Or calculate the change in y divided by the change in x Slope = Rise = change in Y = Run change in X (4, 4) (5, 3) (6, 2) Use the table to find 2 more points? Find the y-intercept , write the equation, use substitution?

8 A graph? Rise (vertical change)
Run (horizontal change) A table? As x goes up by 1, what happens to y? Or the change in y divided by the change in x An equation? It is the coefficient (the number next to the variable)

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11 Each group has the same slope (the same coefficient)
Group 1 : has a slope of 3, but different y-intercepts Group 2 : has a slope of -2, but different y-intercepts

12 Group 1 Group 2

13 Same Slope + different y-intercepts = PARALLEL LINES!
Positive slope Negative slope Group 1 Group 2 Same Slope + different y-intercepts = PARALLEL LINES!

14 Tons of possible answers!
Example: y = -x + 7 y = -x + 3 y = -2 – x y = -x They all have a slope of -1.

15 The slopes (coefficient of x) are
negative reciprocals of each other. (Opposite and inverse)

16 The lines meet at right angles, so they are PERPENDICULAR lines!

17 Tons of possible answers! y = -2 - x and y = x
Possible Set: Tons of possible answers! y = -2 - x and y = x y = 5 - 3x and y = 1 x + 5 3 All lines have slopes that are negative reciprocals of each other! (opposite and inverse) They do NOT have to have the same y-intercept!

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20 The equations in each pair are equivalent, so their graphs will be the same!


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