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Do Now 1. If f(x) = │ (x² – 50) │, what is the value of f(-5) ? A. 75 B. 25 C. 0 D. -25 E ( √2 - √3 )² = A √6 B. 5 - √6 C √6 D. 1 - √2 E = A B C D E. 2 26

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P.3 Lines in the Plane SWBAT 1. Find the slope of a line. 2. Write linear equations given points on lines and their slopes. 3. Use slope-intercept forms of linear equations to graph lines. 4. Use slope to identify parallel and perpendicular lines.

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The slope of a line Slope: rise over run, the change in y over the change in x

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The slope of a line Finding slope given 2 points: 1. (-2, 0) and (3, 1) 2. (-1, 2) and (2, 2) 3. (3, 4) and (3, 1)

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The point-slope form of a line Point-slope form: y – y 1 = m(x – x 1 ) Find an equation of the line that passes through the point (1, -2) and has a slope of 3. Find an equation of the line that passes through (2, - 3) and (4, 5).

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Using point-slope to create linear models During 1997, Barnes and Noble’s net sales were $2.8 billion, and in 1998 net sales were $3.0 billion. 1. Write a linear equation giving the net sales y in terms of the year x. 2. Use the equation to estimate the net sales during 2000.

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Linear extrapolation: an approximation in which the estimated point lies outside of the given points Linear interpolation: the estimated point lies between the two given points

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Sketching graphs of lines Slope-intercept form: y = mx + b Better suited to graph linear equations

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Sketching graphs of lines Determine the slope and y-intercept of each linear equation and describe its graph. 1. x + y = 2 2. y = 2

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Parallel Lines Parallel lines: have slopes that are equal Find the slope-intercept form of the equation of the line that passes through the point (2, -1) and is parallel to the line 2x – 3y = 5.

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Perpendicular Lines Perpendicular lines: have slopes that are negative reciprocals Find an equation of the line that passes through the point (2, -1) and is perpendicular to the line 2x – 3y = 5.

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