creating a foldable for equations of lines equations of lines slope direct variation slope-intercept...

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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

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Creating a foldable for Equations of Lines

Equations of Lines

SlopeDirect Variation

Slope-Intercept Form

Standard Form

Point-Slope FormEquation w/ slope & 1 point

Equation w/ 2 points

Horizontal & Vertical Lines

Parallel & Perpendicular Lines

Graphing LinesX-intercept and Y-intercept

Folding the Paper

Fold the paper down so that about ¾” is revealed at the bottom

Folding the Paper

Fold the paper down so that about ¾” is revealed at the bottom

Folding the Paper

Fold the paper down so that about ¾” is revealed at the bottom

About ¾” reveal here

Folding the Paper

Each piece of paper will be folded over the previous one, and leave about 3/4“ reveal for all of them – note images

About ¾” reveal here

Fold next sheet here

Folding the Paper

Each piece of paper will be folded over the previous one, and leave about 3/4“ reveal for all of them – note images

About ¾” reveal here

Fold next sheet here

Folding the Paper

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

Staple the Paper

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

Labeling the Paper

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

Equations of Lines

SlopeDirect Variation

Slope-Intercept Form

Standard Form

Point-Slope FormEquation w/ slope & 1 point

Equation w/ 2 points

Horizontal & Vertical Lines

Parallel & Perpendicular Lines

Graphing LinesX-intercept and Y-intercept

Labeling the Paper

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

SlopeDirect Variation

Slope-Intercept Form

Standard Form

Point-Slope FormEquation w/ slope & 1 point

Equation w/ 2 points

Horizontal & Vertical Lines

Parallel & Perpendicular Lines

Graphing Lines

12

12

xx

yy

run

risem

X-intercept and Y-intercept

Direct VariationSlope-Intercept Form

Standard Form

Point-Slope FormEquation w/ slope & 1 point

Equation w/ 2 points

Horizontal & Vertical Lines

Parallel & Perpendicular Lines

Graphing Lines

Formula: y=mxIf y=6 when x = 2, find y when x= 4

y=mx y=mx

6=m(2) y=3(4)

3=m y=12

_____

X-intercept and Y-intercept

Slope-Intercept Form

Standard Form

Point-Slope FormEquation w/ slope & 1 point

Equation w/ 2 points

Horizontal & Vertical Lines

Parallel & Perpendicular Lines

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

X-intercept and Y-intercept

Standard Form

Point-Slope FormEquation w/ slope & 1 point

Equation w/ 2 points

Horizontal & Vertical Lines

Parallel & Perpendicular Lines

Graphing LinesX-intercept and Y-intercept

Formula: Ax+By=C -A can’t be negative -A,B,C must be whole #s

Point-Slope FormEquation w/ slope & 1 point

Equation w/ 2 points

Horizontal & Vertical Lines

Parallel & Perpendicular Lines

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)

X-intercept and Y-intercept

Equation w/ slope & 1 point

Equation w/ 2 points

Horizontal & Vertical Lines

Parallel & Perpendicular Lines

Graphing Lines

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

X-intercept and Y-intercept

Equation w/ 2 points

Horizontal & Vertical Lines

Parallel & Perpendicular Lines

Graphing Lines

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

X-intercept and Y-intercept

Horizontal & Vertical Lines

Parallel & Perpendicular Lines

Graphing Lines

Vertical Lines

x = 2

Horizontal Lines

y = 2

x = -3 y = -3

_____________________X-intercept and Y-intercept

Parallel & Perpendicular Lines

Graphing LinesX-intercept and Y-intercept

y=2x+5

y=2x-3

y=2/3x – 4 m=2/3

y=-3/2x + 2 m=-3/2

Graphing Lines

Change the equation into slope-intercept form 1st

X-intercept and Y-intercept

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