1. Unit 3: Slope Foldable Slope & Slope Formula Slope Classification Slope-Intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x - x1) (x & y intercepts) (2 points) Graphing Linear Equations

2. Slope & Slope Formula Slope Classification Slope-Intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x - x1) (x & y intercepts) (2 points) m slope: rate of change (ratio) = x Greek letter "delta" means change y = change in y (vertical change) change in x (horizontal change) = run rise = up/down right + _ pt.1 (x1, y1) pt.2 (x2, y2) m = y2 - y1 x2 - x1 Slope Formula OPEN (5,7) (2,-2)

3. Unit 3: Slope Foldable Slope Classification Slope-Intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x - x1) (x & y intercepts) Graphing Linear Equations positive negative zero undefined Puff Puff! Nice!This is ZERO fun! Oh NO or UNDEFINDED!!! or "NO Slope" m = +n m = -n m = 0 or m = --- 0n0n m = undefined or m = ---- n0n0 Positive Negative Zero Undefined n n y = x y = -x y = n (no x)x = n (no y) 0 in the denominator 0 in the numerator OPEN

4. Unit 3: Slope Foldable Slope & Slope Formula Slope-Intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x - x1) (x & y intercepts) (2 points) Graphing Linear Equations Graphing y = mx + b slope y intercept (crosses y axis) 1) starting point 2) directions Steps to Graph 1) Plot "b" (1st point) on y axis 2) Use "m" from b to plot 2nd point. 3) Connect the dots (2 points). OPEN example y = 3/4x - 2 m = 3/4 b = -2 up 3 right 4

5. Unit 3: Slope Foldable Slope & Slope Formula Slope Classification Standard Form: Ax + By = C Point-Slope Form: y - y1=m(x - x1) (x & y intercepts) (2 points) Graphing Linear Equations Graphing in Standard Form 1) Find x int: Set y = 0 & solve for x. 2) x int = ( __, 0) Plot x intercept on x axis 4) y int = ( 0, __) Plot y intercept on y axis 5) Connect the dots (x & y intercepts). 3) Find y int: Set x = 0 & solve for y. 3x + 4y = 12 OPEN x y

6. Unit 3: Slope Foldable Slope & Slope Formula Slope Classification Slope-Intercept Form: y = mx + b Point-Slope Form: y - y1=m(x - x1) (2 points) Graphing Linear Equations example m = -1/4 y - y1=m(x - x1) (x1, y1) point = (-2, 3) graph point & slope write equation in point-slope form down 1 right 4 y - 3 =-1/4(x + 2) OPEN

7. Graphing Linear Inequalities 3 Steps 1) 1st 2 steps of: graph y = mx + b 2) Connect Points: > < (open) dotted line > < (closed) solid line 3) Shade "True" Side: Test Point (0,0) > > "Greater" shade above (right) < < "Less" shade below (left) Examples a) y < 1/2 x + 3 b) y > -2x + 1 (BACKSIDE of Foldable)