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Warm Up Tuesday 11/9/10 We will graph linear equations using intercepts. Simplify each expression:

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Presentation on theme: "Warm Up Tuesday 11/9/10 We will graph linear equations using intercepts. Simplify each expression:"— Presentation transcript:

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2 Warm Up Tuesday 11/9/10 We will graph linear equations using intercepts. Simplify each expression:

3 Warm Up Wednesday 11/10/10 We will graph linear equations using intercepts. Solve each equation:

4 Today’s Objective To be able to find the x and y intercepts of an equation and use them to draw a quick graph.

5 The Intercepts y-Intercept = 6 x-Intercept = 2 The intercepts are where the line crosses the axis.

6 Intercepts: Find the x and y intercepts then graph the line x intercept y = 0 Substitute 0 in for y then solve for x y intercept x = 0 Substitute 0 in for x then solve for y

7 Graph of equation Next graph the x intercept x = -5 at the point (-5,0) First graph the y intercept y = -4 at the point (0,-4) Finally connect the points to form a line

8 Intercepts: Find the x and y intercepts then graph the line x intercept y = 0 Substitute 0 in for y then solve for x y intercept x = 0 Substitute 0 in for x then solve for y

9 Graph of equation Next graph the x intercept x = 12 at the point (12,0) (change scale count by 2s) First graph the y intercept y = -8 at the point (0,-8) Finally connect the points to form a line

10 Compare the 2 graphs

11 Find the intercepts and graph 3x + 4y = 12

12 Finding the x-intercept 3x + 4y = 12 3x + 4(0) = 12 3x + 0 = 12 3x = 12 x = 4

13 Finding the y-intercept 3x + 4y = 12 3(0) + 4y = y = 12 4y = 12 y = 3

14 The graph of 3x + 4y = 12 x-intercept = 4 y-intercept = 3

15 Find the intercepts and graph y = 4x - 4 You try this one.

16 Finding the x-intercept y = 4x = 4x = 4x = 4x 1 = x

17 Finding the y-intercept y = 4x - 4 y = 4(0) - 4 y = -4

18 The graph of y = 4x - 4 x-intercept = 1 y-intercept = -4

19 What is the x-intercept of 3x – 4y = 24? 1.(3, 0) 2.(8, 0) 3.(0, -4) 4.(0, -6)

20 What is the y-intercept of -x + 2y = 8? 1.(-1, 0) 2.(-8, 0) 3.(0, 2) 4.(0, 4)

21 What is the y-intercept of x = 3? 1.(3, 0) 2.(-3, 0) 3.(0, 3) 4.None

22 Word Problem You make and sell decorative bows. You sell small bows for $3 and large bows for $5. You want to earn $60 per week. This situation can be modeled by 3x + 5y = 60 where x is the number of small bows and y is the number of large bows. Find the intercepts of the graph. Graph the equation Give 3 possible solutions

23 Finding the y-intercept 3x + 5y = 60 3(0) + 5y = 60 5y = 60 y = 12 (0, 12)

24 Finding the x-intercept 3x + 5y = 60 3x + 5(0) = 60 3x = 60 x = 20 (20, 0)

25 Graph of the Equation Large Bows Sold Small Bows Sold

26 Three Possible Solutions Large Bows Sold Small Bows Sold 0 small, 12 large 10 small, 6 large 20 small, 0 large

27 Word Problem You borrow $1800 from your parents. To repay your debt, you give them $150 per month. Your debt d (in dollars) is given by the function: d = 150t where t represents time in (months) Find the intercepts of the graph of the function and state what they represent. Graph the equation and identify its domain and range.

28 Finding the t-intercept d = 150t Set d = 0 0 = 150t – = 150t 12 = t In 12 months the debt = 0

29 Finding the d-intercept d = 150t Set t = 0 d = 150(0) d = The debt is -$1800 when time is 0.

30 Graph the function d = 150t Put time (t) on the x axis Put debt (d) on the y axis

31 Graph of the function d = 150t debt (d) in dollars time (t) in months (12, 0)

32 Identify the domain and range debt (d) in dollars time (t) in months Domain: Range:

33 Guided Practice Pgs. 225 – 228 Examples 1 – 5


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