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  1. Write y = -2/3x + 2 in standard form using integers.

A-2x - 3y = 6
B2x + 3y = 6
C2x - 3y = 2
D2x + 3y = 2

  1. Write an equation for the line that is parallel to the given line and passes through the given point. y = 3x + 7; (2, 10)

Ay = 3x + 11
By = 3x + 4
Cy = -3x + 4
Dy = (-1/3)x + 4

  1. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. The two equations are y = -2x + 4 and -5x + 10y = 5.

Aparallel
Bperpendicular
Cneither

  1. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. The two equations are y = (-1/4)x + 8 and -2x + 8y = 4.

Aparallel
Bperpendicular
Cneither

  1. Write the equation of a line that is perpendicular to the given line and that passes through the given point. y - 3 = 8/3(x + 2); (-2, 3)

Ay + 3 = -3/8(x - 2)
By - 3 = -3/8(x + 2)
Cy - 2 = -3/8(x + 2)
Dy + 3 = 3/8(x - 2)

Verified Answer :

texaschic101
  1. y = -2/3x + 2
        2/3x + y = 2
        2x + 3y = 6 <==

    18. y = 3x + 7....slope is 3. A parallel line will have the same slope.

    y = mx + b
    slope(m) = 3
    (2,10)...x = 2 and y = 10
    now sub and find b, the y int
    10 = 3(2) + b
    10 = 6 + b
    10 - 6 = b
    4 = b
    so ur equation is : y = 3x + 4 <===

    19. - 5x + 10y = 5                
          10y = 5x + 5
           y = 1/2x + 1/2...slope is 1/2
       
          y = -2x + 4....slope is -2

    1/2 and -2 are negative reciprocals of each other....so ur lines are perpendicular

    20. y = -1/4x + 8....slope is -1/4
      
         -2x + 8y = 4
          8y = 2x + 4
          y = 1/4x + 1/2...slope here is 1/4

    different slope and different y intercepts ...neither parallel or perpendicular

    21. slope in the equation is 8/3. A perpendicular line will have a slope of -3/8.

    y - y1 = m(x - x1)
    slope(m) = -3/8
    (-2,3)...x1 = -2 and y1 = 3
    now we sub
    y - 3 = -3/8(x - (-2) =
    y - 3 = -3/8(x + 2) <==


      
          

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