Creating a foldable for Equations of Lines Slope

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

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 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.

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.

Formula: y=mx If y=6 when x = 2, find y when x= 4 6=m(2) 3=m _____ y=mx y=3(4) 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

Formula: y=mx+b b=y-intercept Write in slope-intercept form: (1, 3) m=2 y=mx+b 3=2(1)+b y=2 x+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

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

Formula: y-y 1=m(x-x 1) 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

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 3=2(1)+b y=2 x+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

1) Find the slope. 2) Use slope and 1 point to write the equation. (2, 1) (3, 5) 5 -1 = 4 3 -2 1 m=4 y=mx+b 1 = 4(2)+b y = 4 x + -7 1=8+b y = 4 x – 7 -8 -7 = b Equation w/ 2 points Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

x=2 x = -3 ___________ Vertical Lines Horizontal Lines y=2 y = -3 Horizontal & Vertical Lines Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

y=2 x+5 y=2 x-3 y=2/3 x – 4 m=2/3 y=-3/2 x + 2 m=-3/2 Parallel & Perpendicular Lines Graphing Lines X-intercept and Y-intercept

Change the equation into slope-intercept form 1 st Graphing Lines 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 2 x + 4 y = 8 2 x +4(0) = 8 2 x = 8 x=4 To find the y-intercept: plug 0 in for x and solve for y 2 x + 4 y = 8 2(0) + 4 y = 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