Fri, 12/15/10 WARM-UP: TO BE COLLECTED! 1.) Find the slope of the following points (2a, 3b) and (5a, 6b) 2.) Dave graphs the functions y = x – 3 and y.

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Fri, 12/15/10 WARM-UP: TO BE COLLECTED! 1.) Find the slope of the following points (2a, 3b) and (5a, 6b) 2.) Dave graphs the functions y = x – 3 and y = 4x + 1 on the same State two ways the graphs are different. set of coordinate axes. Explain the reason for each difference. HW: CATCH UP! REVIEW PAST NOTES, HW, TESTS, QUIZZES, ETC! ~50% of the class is between grades (88%- 92%, 78-82%, etc)

Families of linear graphs student/mathematics/assets/animati on/algebra1/ALG1CIM4-3.swf

SWBAT… Write equations in slope-intercept form Mon, 1/3 Agenda 1.WU (10 min) 2.3 practice problems to refresh our memories! (10 min) 3.Notes on writing equations of lines (2 examples) (20 min) 4.Start on hw (5 min) WARM-UP: 1. Find the slope of (2a,3b) and (5a,6b) 2. Find the slope of Ax + By = C 3. Solve for y: 5x + 4y = 80 HW#5: Writing Eqns of lines in Slope-Intercept Form

What is the slope of 5x + 4y = 80 A. m = -5 x 4 B. m = -5 C. m = -4 D. m = 5 4 1/3

Which equation(s) has the same y-intercept as y = ½x + 2? A. y = 2x + 4 B. 2 – y = ½x C. y – 2 = x D. y = x 2/3

Which equation is parallel to the line -2x + 4y = 3? A. y = -1/2 x + 5 B. y = 2x – 6 C. y = -2x + 4 D. y = ½x – 2 3/3

Monday, 1/3Tuesday, 1/4Wednesday, 1/5Thursday, 1/6Friday, 1/7 Writing equations of lines Writing equations of lines Quiz Point slope form & Standard form Lines of best fit activity All 3 forms of lines 1. Slope-intercept 2. Point-slope 3. Standard Monday, 1/10Tuesday, 1/11Wednesday, 1/12Thursday, 1/13Friday, 1/14 Quiz All 3 forms of lines 1. Slope-intercept 2. Point-slope 3. Standard Parallel and perpendicular Lines Parallel and perpendicular Lines TBD Monday, 1/17Tuesday, 1/18Wednesday, 1/19Thursday, 1/20Friday, 1/21 MLK NO CLASSES Final review Finals – evens ALGEBRA FINAL Part I Finals – odds ALGEBRA FINAL Part II Monday, 1/24Tuesday, 1/25Wednesday, 1/26Thursday, 1/27Friday, 1/28 END OF Q2/S1 NO CLASSES

Monday, 1/3Tuesday, 1/4Wednesday, 1/5Thursday, 1/6Friday, 1/7 Writing equations of lines Writing equations of lines Quiz Point slope form & Standard form Scantron TESTING All 3 forms of lines 1. Slope-intercept 2. Point-slope 3. Standard Monday, 1/10Tuesday, 1/11Wednesday, 1/12Thursday, 1/13Friday, 1/14 Quiz Parallel and perpendicular Lines Parallel and perpendicular Lines Infinity teachers project Monday, 1/17Tuesday, 1/18Wednesday, 1/19Thursday, 1/20Friday, 1/21 MLK NO CLASSES Final review Finals – evens ALGEBRA FINAL Part I Finals – odds ALGEBRA FINAL Part II Monday, 1/24Tuesday, 1/25Wednesday, 1/26Thursday, 1/27Friday, 1/28 EXPLORE TESTING END OF Q2/S1 NO CLASSES

1. Set-up Cornell notes. Topic is “writing equations of lines in slope-intercept form” 2. Example 1: Write the equation of the line, in slope-intercept form, that passes through (3, 5) and (5, 9) 3. Plot (3, 5) and (5, 9) on a graph paper square and paste in your note book

y = mx+ b is an equation that defines a line A line has two characteristics: 1.) Slope 2.) Points that fall on the line To write the equation of a line, you need: 1.) The slope of the line 2.) ANY point on the line

Ex1: Write the equation of the line, in slope-intercept form, that passes through (3, 5) and (5, 9) m = (y 2 -y 1 )/(x 2 -x 1 ) Step 1: Find the slope m = (9-5)/(5-3) = 4/2 = 2 Step 2: Plug in either coordinate into y = mx + b and solve for b Step 3: Write the equation of the line by substituting the values you computed for m (step 1) and b (step 2) in y = mx + b y = mx + b y = 2x – 1 (3, 5) (5, 9) y = mx + b y = mx+b 5 = 2(3) + b OR 9 = 2(5) + b 5 = 6 + b 9 = 10 + b -1 = b Besides (3, 5) and (5, 9), what’s another point on this line? Hint: b=-1 (0, -1)

Ex2: Write the equation of the line, in slope-intercept form, with a slope of 10 that passes through (-1, -4) m = 10 Step 1: Find the slope Step 2: Plug in either coordinate into y = mx + b and solve for b Step 3: Write the equation of the line by substituting the values you computed for m (step 1) and b (step 2) in y = mx + b y = mx + b y = 10x – 6 (-1, -4) y = mx + b -4 = 10(-1) + b -4 = b -6 = b Besides (-1, 4) what’s another point on this line? (0, -6)

Warm-Up (15 min) Tues, 1/4 Write in slope-intercept form: 1.)2x – 3y = 122.) x = 2 + 3y Write the slope-intercept form of an equation of the line that satisfies each condition: 3.)Has slope 3 and y-intercept -5 4.)Passes through (5, -7) and has a slope of 3 5.) Passes through (6, -3) and (12, -3) 6.) Has an x-intercept of -2 and a y-intercept of 4 (Hint: write the two points)

Monday, 1/3/11: Homework: 1. Consider the points (3, 7), (-6, 1) and (9, p) on the same line. Find the value of p. 2. The x-intercept of a line is p, and the y-intercept is q. Write an equation of the line in slope- intercept form.