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UNIT 1B LESSON 3

UNIT 1B LESSON 3. SLOPE OF A SECANT. P 2. P 3. P 1. P 2. P 1. DEFINITION: A secant is a line that cuts a curve in two or more distinct points. D(0 , 6). C(- 1, 4). B(- 2, 2 ). A(- 3, 0 ). For the function y = 2 x + 6 draw the curve (graph ).

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UNIT 1B LESSON 3

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  1. UNIT 1B LESSON 3 SLOPE OF A SECANT

  2. P2 P3 P1 P2 P1 DEFINITION: A secantis a line that cuts a curve in two or more distinct points.

  3. D(0, 6) C(-1, 4) B(-2, 2) A(-3, 0) For the function y = 2x + 6 draw the curve (graph). Draw the secant lines through the points AB and CD. Slope of CD Slope of AB 4 0 6 2 • The slope of the secant on a linear function, through any two points will be the slope of the line. In this case the slope is 2. This shows that a line is the only curve of constant slope.

  4. For the function draw the curve and the secant lines through the points AC, BD, and BE. A(-1,1) E(3, 1) B(0,-2) D(2, -2) C(1, -3) EXAMPLE U1B L3 Page 1 1 -2 Equation of BD -3 m = 0 -2 1 Equation of BE Equation of AC Notice: The slopes of secants on curveschange as the points change. Slopes may be positive, zeroor negative. y = x– 2

  5. Finish the Question on page 2

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