3.5 write and graph equations of lines

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write equations of lines, slope, y-intercept,

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3.5 write and graph equations of lines

  1. 1. GEOMETRY MILBY HIGH SCHOOL MR. SAUCEDO 3.5 Write and Graph Equations of Lines
  2. 2. OBJECTIVE We will learn how to write equations of a line.
  3. 3. REVIEW X-INTERCEPT & Y-INTERCEPT
  4. 4. SLOPE – INTERCEPT FORM
  5. 5. WRITING AN EQUATION WE NEED 2 THINGS IN ORDER TO WRITE AN EQUATION IN SLOPE-INTERCEPT FORM. y = mx + b Slope (m) & y-intercept (b).
  6. 6. OBSERVE Write the equation of a line with slope 3 and y- intercept 6. m=3 b=6. Plug in m, and b, into the equation: y=mx+b y=3x+6
  7. 7. CHECKPOINT Write an equation for the line that has a slope of -3 and a y-intercept of ½. m=-3 b= ½ Plug them in to the formula y=mx+b y=-3x + ½
  8. 8. GUIDED PROBLEM 1 Write an equation of the line in slope-intercept form.
  9. 9. CHECKPOINT Find the equation of the line in slope-intercept form.
  10. 10. GUIDED PROBLEM 2 Write an equation of the line passing through the piont (-1,1) that is parallel with the equation y=-2x-3.
  11. 11. CHECK POINT Write an equation of the line passing through the point (2, -3) that is parallel to the line with the equation y=6x+4.
  12. 12. GUIDED PROBLEM 3 Write an equation of the line passing through the point (2, 3) that is perpendicular to the line with the equation y=-2x+2
  13. 13. CHECK POINT Write an equation of the line passing through the piont (3,-4) that is perpendicular to the line with the equation y= (-½)x - 1
  14. 14. What if we get an equation in standard form? Graph 3x + 4y = 12
  15. 15. CLOSING QUESTIONS What is the formula (or equation) for a line in slope- intercept form? What steps do we take to write an equation of a line if we are given a graph of a line? What steps do we take to write an equation of a line if we are given a slope and a point on the line?
  16. 16. INDEPENDENT PRACTICE ENTER THE FOLLOWING PROBLEMS FROM THE BOOK, PAGE 184. 1. Problem 6, 2. Problem8, 3. Problem 9, 4. Problem 10, 5. Problem 12, 6. Problem 14, 7. Problem 18, 8. Problem 28, 9. Problem 30, 10.Problem 50.
  17. 17. HOMEWORK WORKBOOK, SECTION 3-5 Pages 55-57 PROBLEMS: 1, 5, 7, 9, 11, 14, 17, #25 on separate sheet of paper.

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