1 / 14

Understanding Slope and Writing Linear Equations in Slope-Intercept Form

This lesson focuses on finding the slope between given points and comparing the differences in graphs of linear functions. Students will review key concepts including writing equations in slope-intercept form and identifying characteristics of linear graphs through practical examples. Homework includes practicing writing equations and finding slopes, and students will also engage with past notes and assessments. The goal is to reinforce their understanding of linear equations and their applications in graphing.

bruce-murphy
Télécharger la présentation

Understanding Slope and Writing Linear Equations in Slope-Intercept Form

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 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)

  2. Families of linear graphs • http://www.glencoe.com/sites/texas/student/mathematics/assets/animation/algebra1/ALG1CIM4-3.swf

  3. SWBAT… Write equations in slope-intercept form Mon, 1/3 Agenda • WU (10 min) • 3 practice problems to refresh our memories! (10 min) • Notes on writing equations of lines (2 examples) (20 min) • 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

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

  5. 2/3 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 = -2 + 5x

  6. 3/3 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

  7. 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

  8. y = mx + b • 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

  9. Ex1: Write the equation of the line, in slope-intercept form, that passes through (3, 5) and (5, 9) m = (y2-y1)/(x2-x1) Step 1: Find the slope m = (9-5)/(5-3) = 4/2 = 2 (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 -1 = b 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 Besides (3, 5) and (5, 9), what’s another point on this line? Hint: b=-1 (0, -1)

  10. 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 (-1, -4) y = mx + b -4 = 10(-1) + b -4 = -10 + b -6 = b 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 Besides (-1, 4) what’s another point on this line? (0, -6)

  11. Warm-Up (15 min)Tues, 1/4 Write in slope-intercept form: 1.) 2x – 3y = 12 2.) 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)

  12. 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.

More Related