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Objectives SWBAT - graph using slope intercept and standard form equations

Thursday, 17 Jan 2013. Homework Read: Reviews on pgs. 353 - 355 Do problems: p. 353 – 355: 2,3,4,6,10,18,20,22. Objectives SWBAT - graph using slope intercept and standard form equations. Bell Ringer: 7 min

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Objectives SWBAT - graph using slope intercept and standard form equations

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  1. Thursday, 17 Jan 2013 Homework Read: Reviews on pgs. 353 - 355Do problems: p. 353 – 355: 2,3,4,6,10,18,20,22 Objectives SWBAT- graph using slope intercept and standard form equations Bell Ringer: 7 min • Convert the following standard form equation into slope-intercept form (y = mx + b) • x + y = 4 • 2x – 8y = 16

  2. Homework Read: Reviews on pgs. 353 - 355Do problems: p. 353 – 355: 2,3,4,6,10,18,20,22 Objectives SWBAT- graph using slope intercept and standard form equations STANDARD FORM Ax + By = C, where A, B, and C are integers. • graph using the intercepts. y=mx+b • m represents the slope • b represents the y-intercept • graph using slope and intercept or a t-table (whichever is easier for you). If the equation is in neither form, rewrite the equation in the form you like the best! SLOPE-INTERCEPT FORM Equation is in neither form

  3. Objectives SWBAT- Translate linear equations between slope intercept form, and standard form Finding X & Y Intercepts using standard form. Graphing using Standard Form Writing an equation from slope and y-intercept

  4. Objectives SWBAT- Translate linear equations between slope intercept form, and standard form Writing EquationsType 3 Write an equation of the line that goes through the points (-2, 1) and (4, 2). To write an equation, you need two things: slope (m) = y – intercept (b) = It’s now a Type #2 problem. Pick one of the ordered pairs to plug into the equation. Which one looks easiest to use? I’m using (4, 2) because both numbers are positive. 2 = (4) + b ???

  5. Objectives SWBAT- Translate linear equations between slope intercept form, and standard form Writing EquationsType 3

  6. Graph

  7. Graphing with slope-intercept • Start by graphing the y-intercept (b = 2). • From the y-intercept, apply “rise over run” using your slope.rise = 1, run = -3 • Repeat this again from your new point. • Draw a line through your points. -3 1 -3 1 Start here

  8. Graph -2x + 3y = 12 Which graphing method is easiest? Using x- and y-intercepts!(The equation is in standard form) Remember, plug in 0 to find the intercepts.

  9. Graphing with intercepts: -2x + 3y = 12 • Find your x-intercept: Let y = 0 -2x + 3(0) = 12 x = -6; (-6, 0) • Find your y-intercept: Let x = 0 -2(0) + 3y = 12 y = 4; (0, 4) 3. Graph both points and draw a line through them.

  10. Which method is easiest to graph-3x + 6y = 2? • T-table • Slope and intercept • X- and Y-intercepts • Graphing calculator

  11. Which is the graph of y = x + 2? • . • . • . • .

  12. Find the x- and y-intercepts.1. x - 2y = 12 x-intercept: Plug in 0 for y. x - 2(0) = 12 x = 12; (12, 0) y-intercept: Plug in 0 for x. 0 - 2y = 12 y = -6; (0, -6)

  13. Find the x- and y-intercepts.2. -3x + 5y = 9

  14. Find the x- and y-intercepts.3. y = 7 ***Special case*** x-intercept: Plug in 0 for y. Does 0 = 7? No! There is no x-intercept. None What type of lines have no x-intercept? Horizontal! Horizontal lines…y = 7…y-int = (0, 7)

  15. What is the x-intercept of3x – 4y = 24? • (3, 0) • (8, 0) • (0, -4) • (0, -6)

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

  17. What is the y-intercept ofx = 3? • (3, 0) • (-3, 0) • (0, 3) • None

  18. Find the slope and y-intercept.4) 5x - 3y = 6

  19. Find the slope and y-intercept. 5) 2y + 2 = 4x Write it in slope-intercept form. (y = mx + b) 2y + 2 = 4x 2y = 4x - 2 y = 2x - 1 m = 2 b = -1 2 2 2

  20. Find the slope and y-intercept of y = -2x + 4 • m = 2; b = 4 • m = 4; b = 2 • m = -2; b = 4 • m = 4; b = -2

  21. Find the slope and y-intercept. m = b = 0 2) y = x y = mx + b y = x + 0 3) y = 5 y = mx + b y = 0x + 5 m = 0 b = 5

  22. Write the standard form for a line passing through the points (-1, -3) and (-4, 6). Oh no! This is a Type #3 problem! Find slope… Find y-intercept. I’m choosing the point (-4, 6). 6 = -3(-4) + b 6 = 12 + b -6 = b Slope-intercept form: y = -3x - 6 Standard form: 3x + y = -6

  23. Homework Read: Reviews on pgs. 353 - 3255Do problems: p. 353 – 355: 2,3,4,6,10,18,20,22 Objectives SWBAT- Translate linear equations between slope intercept form, and standard form Explain why the coefficients of x and y in the standard form of a linear equation can not both be zero. Reflection

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