Bell Ringer Simplify each fraction. 1.  4 – 3   -2 – 9 2.  -3 + 12   8 – (-2) 3.  7 + -2   15 - 10
Definitions Parallel Lines  - lines that never intersect Perpendicular Lines - lines that intersect to form 90° angles Skew Lines - Lines that are not in the same plane and do not intersect
Identifying Slope and Y - Intercept y =  m x +  b slope y - intercept
Identifying Slope and Y - Intercept Find the slope and y – intercept of each. y = 2x + 3 y = -3x – 9 y = x + ½  -y = 2x
You try! Find the slope and y – intercept of each. y = 5x + ¼  y = -x + 12 y = x - 3 -y = x + 9
Slope Intercept Form Solve each equation for y then find m and b. 2x + y = 6 9 – y = 2x 12 + 2y = 8x -3y + 9 = 12x
You try 2! Solve each equation for y then find m and b. 2x + y = 6 9 – y = 2x 12 + 2y = 8x -3y + 9 = 12x
Parallel Lines - Two lines are parallel if they have the same slope. Write an equation of a line parallel that passes through the following point: m = 2, (-1, 4)
2.  m = ½, (2, -3) 3. m = 1, (0, 6)
You try 3! Find a line parallel that passes thru each point. m = 5, (-2, -8) m = 2.5, (8, 4) m = -3, (3, -4)

TechMathI - 3.1 - Lines in space

  • 1.
    Bell Ringer Simplifyeach fraction. 1. 4 – 3 -2 – 9 2. -3 + 12 8 – (-2) 3. 7 + -2 15 - 10
  • 2.
    Definitions Parallel Lines - lines that never intersect Perpendicular Lines - lines that intersect to form 90° angles Skew Lines - Lines that are not in the same plane and do not intersect
  • 3.
    Identifying Slope andY - Intercept y = m x + b slope y - intercept
  • 4.
    Identifying Slope andY - Intercept Find the slope and y – intercept of each. y = 2x + 3 y = -3x – 9 y = x + ½ -y = 2x
  • 5.
    You try! Findthe slope and y – intercept of each. y = 5x + ¼ y = -x + 12 y = x - 3 -y = x + 9
  • 6.
    Slope Intercept FormSolve each equation for y then find m and b. 2x + y = 6 9 – y = 2x 12 + 2y = 8x -3y + 9 = 12x
  • 7.
    You try 2!Solve each equation for y then find m and b. 2x + y = 6 9 – y = 2x 12 + 2y = 8x -3y + 9 = 12x
  • 8.
    Parallel Lines -Two lines are parallel if they have the same slope. Write an equation of a line parallel that passes through the following point: m = 2, (-1, 4)
  • 9.
    2. m= ½, (2, -3) 3. m = 1, (0, 6)
  • 10.
    You try 3!Find a line parallel that passes thru each point. m = 5, (-2, -8) m = 2.5, (8, 4) m = -3, (3, -4)