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
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 About ¾ reveal here Fold the paper down so that about ¾ is revealed at the bottom
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
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
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 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.
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.
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
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
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
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
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
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
Vertical Lines x = 2 Horizontal Lines y = 2 x = -3 y = -3 Horizontal & Vertical Lines
y=2x+5 y=2x-3 y=2/3x 4 y=-3/2x + 2 m=2/3 m=-3/2
Change the equation into slope-intercept form 1st
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