Writing linear equations

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Writing linear equations

  1. 1. Writing Linear Equations
  2. 2. Slope and Y-Intercept5/2/13• To write the equation of a line:▫ Use y = mx + b▫ Put the given slope and y-intercept in theequation▫ Remember: m is slopeb is y-interceptAnswer needs both x and y in it!!
  3. 3. Examples:• Write an equation of the line with:• slope = -2y-intercept = 4• slope =y-intercept = -1
  4. 4. • Slope = 1y-intercept =• Slope = -3• y-intercept = 0
  5. 5. You Try!• Write an equation of the line with:• slope = 4y-intercept = -5
  6. 6. Point-Slope Form5/3/13• Another form of a linear equation ispoint-slope form.• It is:• m is still slope!• (x1, y1) is a point on the line• Answer still needs x and y in it!
  7. 7. Examples:• Write an equation in point-slope formof the line:• Slope = 2• Through (1, 3)• Slope = -4• Through (-2, -6)
  8. 8. • Slope = 1• Through (0, 5)• Slope = 1/3• Through (-4, 0)
  9. 9. You Try!• Slope = -2• Through (3, -1)
  10. 10. Point-Slope toSlope-Intercept Form 5/6/13• Given a point and the slope, we canuse point-slope form.• Remember: y – y1 = m(x – x1)• Then, to get in slope-intercept form:▫ Solve for y▫ Distribute first!▫ Add/subtract to get y alone.
  11. 11. Examples:• Write an equation of the line with thegiven slope that passes through thegiven point.• Slope = -2• Through (1, 4)
  12. 12. • Slope = 1/3• Through (-2, 5)• Slope = 1• Through (0, 8)
  13. 13. You Try!• Write an equation of the line withslope = -1, and through the point (4, -2).

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