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WARRIOR [948]
3 years ago
11

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

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0
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
       <u>   - 7          -   7</u>
             y = 6x + 41

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

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

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

5. 4.9 × 10¹¹, 8.9 × 10¹⁸, 1.3 × 10⁸, 6.7 × 10⁸, 2.7 × 10⁸
    <u>1.3 × 10³</u>, 2.7 × 10⁸, 6.7 × 10⁸, 4.9 × 10¹¹, <u>8.9 × 10¹⁸</u>
      Least                                                         Greatest
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