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

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 Labeling the Paper 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 Label the exposed flaps with the labels listed above. You may want to write in pencil, then write over with magic marker.

10 Labeling the Paper rise y y 2 1 m run x x 2 1 Slope Direct Variation Slope-Intercept Form Standard Form Point-Slope Form Equation w/ slope & 1 point Equation w/ 2 points Horizontal & Vertical Lines 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 6=m(2) y=mx 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

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

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

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

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

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

17 Vertical Lines x = 2 Horizontal Lines y = 2 x = -3 y = -3 Horizontal & Vertical Lines

18 y=2x+5 y=2x-3 y=2/3x 4 y=-3/2x + 2 m=2/3 m=-3/2

19 Change the equation into slope-intercept form 1st

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

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