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Algebra 1(A/B) Fall 2012
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Class Announcements Homework Check Warm-Up 4.3 Notes Begin Homework
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Compare your answers with the person next to you. This is not chat time! Ask about questions that you are not sure about. Correct those questions in class. Study from those questions!
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Look at the ordered pair on your desk. This ordered pair represents your location on a coordinate plane. Stand up if your point matches the following descriptions. You will need scratch paper!
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you are in Quadrant III.
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you are on the x-axis.
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you are in Quadrant I.
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you are the origin.
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you are in Quadrant IV.
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you are on the y-axis.
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you are in Quadrant II.
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you are a solution to the equation 3y = 3x + 3. (0, 1), (-1, 0), (-2, -1), and (-3, -2)
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you are on the line y = -2.
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you are a solution to the equation 4x + 2y = 6. (1, 1) and (2, -1)
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you are on the line y = 1.
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you are a solution to the equation 6y = -12 + 6x. (0, -2), (1, -1), (2, 0), and (3, 1)
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you are on the line x = -4.
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Objectives: Find the intercepts of a graph of a linear equation.
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 y = 4
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 x = -6
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 y = -1
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 x = 2
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 y = 0
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We need at least two points to determine a line.
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2
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x-intercept – the point where a line or curve crosses the x-axis. This is always written as (x, 0). y-intercept – the point where a line or curve crosses the y-axis. This is always written as (0, y).
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 x-intercept? y-intercept? (0, 3) y = 3 (2, 0) x = 2
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 x-intercept? y-intercept? (0, -3) y = -3 (6, 0) x = 6
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Use this time to relax or try the following rebus puzzles. All over againYou are up in arms over it
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x-intercept by setting y = 0 y-intercept by setting x = 0
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To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. 2x + 3y = 6
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 (3, 0) and (0, 2)
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 2x – y = 4
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 y – 2x = 3
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 y = 2x + 4
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2 2y – 3 = 5 Variable x does not show up no x- intercept!
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2
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1 2 3 5 6 4 7 -6 -2 -4 12 34567 -6 -4-2
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1. The x-intercept and y-intercept are the points at which a line or curve cross the x and y-axis, respectively. 2. To find the x-intercept, set y = 0. 3. To find the y-intercept, set x = 0. 4. We can graph a line by connecting the two intercepts. Homework: pgs. 221-222 #14-19, 26-28, 35-37, 44-46
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