Question

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

Answer 1

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
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