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Published byTerrell Horne Modified over 2 years ago

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

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

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

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

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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

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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

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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

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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

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Compare the 2 graphs

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

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

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

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

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

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

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

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

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

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

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

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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

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

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

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Graph of the Equation Large Bows Sold Small Bows Sold

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

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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.

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

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

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

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

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

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Guided Practice Pgs. 225 – 228 Examples 1 – 5

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