September 09, 2016 Friday 9/9/16 Slope Intercept form September 09, 2016 p. 202 #20-30 even, 37-40 20. y - 8 = 4(x + 4) 22. y + 5 = 5/7 (x + 2) 24. y + 12 = -2.4(x - 14) 26. x = 2 28. y - 5 = -2/3(x - 0) or y - 3 = -2/3(x - 3) 30. y - 4 = 5/2 (x - 2) or y + 11 = 5/2 (x + 4) September 09, 2016 37. y + 4 = -2(x + 7) 38. y = -10 39. y - 2 = -2/3 (x - 6) 40. y - 2 = 1/5 (x + 2) p. 203 48, 49 48. perpendicular 49. neither September 09, 2016 Slope-Intercept Form: Example 1: Remember _____ points form exactly one line! x y 1 1 -1 -5 slope = y-intercept = Equation in slope-intercept form September 09, 2016 Example 2: Write the equation y + 6 = -3(x - 5) in slope-intercept form September 09, 2016 Example 3: Write an equation of a line containing (-7, 4) and (9, -4) in point-slope form, then convert it into slope-intercept form. September 09, 2016 Example 4: Write an equation of a line perpendicular to the line y = -3x + 6, and passing through the point (-4, 3) in point-slope form, then convert it into slope-intercept form. September 09, 2016 Example 5: Identify the slope and a point on the line whose equations in point-slope form is y-2 = 4(x + 7). Then, convert it into slopeintercept form. slope: point: September 09, 2016 Example 6: Write an equation of a line that passes through (-2, 8) and is perpendicular to the line y + 3 = 2(x - 5) in point-slope form and then convert it into slope-intercept form. September 09, 2016 Example 7: A plumber charges a fee of $50 to make a house call and then charges $25.00 an hour for labor. a. Identify the variables in this situation: _____________ depends on _________________ x = ___________ y = ____________ b. Determine y-intercept: __________ slope _________ slope-intercept form of the equation __________________________ c. Use your equation to determine how many hours the plumber worked if you were charged $175.00 d. Use your equation to determine how much will you have to pay the plumber he works for 3 hours. September 09, 2016 Example 8: Max borrowed $450 from his mom to buy an iPad. He promised to pay her back $25 per month until he paid back all of the money. a. Write an equation to represent the amount of money Max still owes his mom. b. Use your equation to show how much money Max will owe his mom after 1 year. c. Use your equation to determine how many months it will take Max to repay all the money. September 09, 2016 Assignment: Worksheet September 09, 2016
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