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1. Write an equation in point slope form for the line that has a slope of 6 and contains the point (-8,-7).

2. The points (-4,-3) and (-1,-8) are on a line. Find the intercepts to the nearest tenth.

3. Solve 2x-3y=11 by elimination. Express your answer as an ordered paired.
3x+3y=9

4. Solve 2x - 5y = -7 by elimination. Express your answer as an ordered pair.
5x - 3y = 11

5. Order the list of numbers from least to greatest
4.9 X 10^11 , 8.9 X 10 ^18 , 1.3 X 10 ^8 , 6.7 X 10 ^8 , 2.7 X 10 ^18

Sagot :

Panoyinidn
1.    y - y₁ = m(x - x₁)
     y - (-7) = 6(x - (-8))
       y + 7 = 6(x + 8)
       y + 7 = 6(x) + 6(8)
       y + 7 = 6x + 48
          - 7          -   7
             y = 6x + 41

2. y₂ - y₁ = -8 - (-3) = -8 + 3 = -5 = -1²/₃
    x₂ - x₁    -1 - (-4)    -1 + 4      3

3. 2x -  3y = 11
    3x + 3y =   9
            5x = 20
             5      5
              x = 4
     2x - 3y = 11
   2(4) - 3y = 11
       8 - 3y = 11
     - 8          - 8
           -3y = 3
            -3    -3
              y = -1
        (x, y) = (4, -1)

4. 2x - 5y = -7  ⇒   -6x + 15y =  21
    5x - 3y = 11 ⇒ -25x + 15y = -55
                                        19x = 76
                                         19     19
                                            x = 4
                                   2x - 5y = -7
                                 2(4) - 5y = -7
                                     8 - 5y = -7
                                   - 8          - 8
                                         -5y = -15
                                          -5      -5
                                            y = 3
                                      (x, y) = (4, 3)

5. 4.9 × 10¹¹, 8.9 × 10¹⁸, 1.3 × 10⁸, 6.7 × 10⁸, 2.7 × 10⁸
    1.3 × 10³, 2.7 × 10⁸, 6.7 × 10⁸, 4.9 × 10¹¹, 8.9 × 10¹⁸
      Least                                                         Greatest
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