creating a foldable for equations of lines
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
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