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Creating a foldable for Equations of Lines

Creating a foldable for Equations of Lines. Equations of Lines. Slope. Direct Variation. Slope-Intercept Form. Standard Form. Point-Slope Form. Equation w/ slope & 1 point. Equation w/ 2 points. Horizontal & Vertical Lines. Parallel & Perpendicular Lines. Graphing Lines.

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Creating a foldable for Equations of Lines

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  1. Creating a foldable for Equations of Lines Equations of Lines Slope Direct Variation Slope-Intercept Form Standard Form Point-Slope Form Equation w/ slope & 1 point Equation w/ 2 points Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

  2. Folding the Paper Fold the paper down so that about ¾” is revealed at the bottom

  3. Folding the Paper Fold the paper down so that about ¾” is revealed at the bottom

  4. Folding the Paper About ¾” reveal here Fold the paper down so that about ¾” is revealed at the bottom

  5. Folding the Paper Fold next sheet here About ¾” reveal here Each piece of paper will be folded over the previous one, and leave about 3/4“ reveal for all of them – note images

  6. Folding the Paper Fold next sheet here About ¾” reveal here Each piece of paper will be folded over the previous one, and leave about 3/4“ reveal for all of them – note images

  7. Folding the Paper Repeat the process until you have six folded sheets like above. Color arrangement does not matter.

  8. Staple the Paper Staple the paper close to the edge at the top – leave enough room write on the top flap

  9. Equations of Lines Slope Labeling the Paper Direct Variation Slope-Intercept Form Standard Form Point-Slope Form Equation w/ slope & 1 point Equation w/ 2 points Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept Label the exposed flaps with the labels listed above. You may want to write in pencil, then write over with magic marker.

  10. Slope Labeling the Paper Direct Variation Slope-Intercept Form Standard Form Point-Slope Form Equation w/ slope & 1 point Equation w/ 2 points Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept Label the exposed flaps with the labels listed above. You may want to write in pencil, then write over with magic marker.

  11. Formula: y=mx If y=6 when x = 2, find y when x= 4 y=mx y=mx 6=m(2) y=3(4) 3=m y=12 _____ Direct Variation Slope-Intercept Form Standard Form Point-Slope Form Equation w/ slope & 1 point Equation w/ 2 points Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

  12. Formula: y=mx+b b=y-intercept Write in slope-intercept form: (1,3) m=2 y=mx+b y=mx+b 3=2(1)+b y=2x+1 3=2+b 1=b Slope-Intercept Form Standard Form Point-Slope Form Equation w/ slope & 1 point Equation w/ 2 points Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

  13. Formula: Ax+By=C -A can’t be negative -A,B,C must be whole #s Standard Form Point-Slope Form Equation w/ slope & 1 point Equation w/ 2 points Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

  14. Formula: y-y1=m(x-x1) Write the point-slope form for (2,-3) m=4 Plug into formula y-(-3)=4(x-2) y+3=4(x-2) Point-Slope Form Equation w/ slope & 1 point Equation w/ 2 points Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

  15. Point Slope – Plug into formula (2,3) m=1 y-3=1(x-2) Slope-intercept – Plug in m, x, and y, (1,3) m=2 then solve for b. y=mx+b y=mx+b 3=2(1)+b y=2x+1 3=2+b b=1 Equation w/ slope & 1 point Equation w/ 2 points Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

  16. 1) Find the slope. 2) Use slope and 1 point to write the equation. (2,1) (3,5) 5-1 = 4 = 4 m = 4 3-2 1 y=mx+b y=mx+b 1 = 4(2)+b y = 4x + -7 1 = 8 + b y = 4x – 7 -8 -7 = b Equation w/ 2 points Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

  17. Vertical Lines x = 2 Horizontal Lines y = 2 _____________________ x = -3 y = -3 Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

  18. y=2x+5 y=2x-3 y=2/3x – 4 m=2/3 y=-3/2x + 2 m=-3/2 Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

  19. Change the equation into slope-intercept form 1st Graphing Lines X-intercept and Y-intercept

  20. X-intercept: pt where the line crosses the x-axis Y-intercept: pt where the line crosses the y-axis To find the x-intercept: plug 0 in for y and solve for x 2x + 4y = 8 2x +4(0) = 8 2x = 8 x = 4 To find the y-intercept: plug 0 in for x and solve for y 2x + 4y = 8 2(0) + 4y = 8 4y = 8 y = 2 To graph: Find the x-intercept and y-intercept plot the intercepts draw the line connecting them X-intercept and Y-intercept

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