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BELL RINGER

BELL RINGER. G1/G2: Be ready to show problem #27 G3/G4: Be ready to show problem #29 G5/G6: Be ready to show problem #31. Summary. Last week, we learned: Finding the equation of any line using point-slope, slope intercept, or standard form Graphing using intercepts

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BELL RINGER

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  1. BELL RINGER • G1/G2: Be ready to show problem #27 • G3/G4: Be ready to show problem #29 • G5/G6: Be ready to show problem #31

  2. Summary • Last week, we learned: • Finding the equation of any line using point-slope, slope intercept, or standard form • Graphing using intercepts • Determining parallel & perpendicular lines through any point • Finding the intersection of two lines using ‘substitution’ or by graphing.

  3. Line Intersections & Systems of Equations • First, let’s observe the two equations: • 2x + y = 8 & x – y = 10. • Determine the slope-int forms, graph, and find intersection. • (6, -4) is common point between BOTH lines, and the solution to the system.

  4. New Method - Elimination 2x + y = 8 x – y = 10 (ADD them together) __________ 3x + 0 = 18 3x = 18 x = 6  6 – y = 10  y = -4. (6, -4) point of intersection and solution.

  5. Elimination Examples 2x + 5y = 15 -4x + 7y = -13 Does adding these together help our cause? What if . . . 2(2x + 5y) = 2(15) 4x + 10y = 30 Now Let’s Try Again . . .

  6. -cnt’d- 4x + 10y = 30 -4x + 7y =-13 ____________ Add Together . . . 17y = 17  y = 1 4x + 10(1) = 30, 4x = 20  x = 5 (5, 1) point of intersection

  7. QUIZ TOMORROW! • P. 169, #9-12 (practice elimination) • Be able to graph, given an equation in any form, or any info/data. • Find the equation of any specific line in any form given any set of criteria. • Know parallel/perpendicular slope’s relationships • Find the intersection of two lines using substitution or elimination. • Notebook: linequ1, linequ2, linequ3, systems, elim

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