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Creating a foldable for Equations of Lines

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Presentation on theme: "Creating a foldable for Equations of Lines"— Presentation transcript:

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

11 _____ Direct Variation Slope-Intercept Form Standard Form
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 Slope-Intercept Form Standard Form Point-Slope Form Graphing Lines
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 Standard Form Point-Slope Form Graphing Lines
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 Point-Slope Form Graphing Lines
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 Graphing Lines Equation w/ slope & 1 point Equation w/ 2 points
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 Graphing Lines Equation w/ 2 points Horizontal & Vertical Lines
1) Find the slope. 2) Use slope and 1 point to write the equation. (2,1) (3,5) 5-1 = 4 = m = 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 Parallel & Perpendicular Lines X-intercept and Y-intercept
y=2x+5 y=2x-3 y=2/3x – m=2/3 y=-3/2x m=-3/2 Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

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

20 X-intercept and Y-intercept
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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