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Scorpion4ik [409]
3 years ago
12

Arrange the pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (20, 40)

Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer: m1 = 0.5

M2= 0.375

M3 = 2.25

M4 = 3.0

M5 = 13.5

M6 = 0.285

M7 = 7.0

Step-by-step explanation:

(20,40)-(15,30)=(5,10), m1=5/10=0.5

(18,48)-(12,32)=(6,16), m2=3/8=0.375

(72,32)-(27,12)=(45,20), m3=9/4=2.25

(60,20)-(45,15)=(15,5), m4=3.0

(243,18)-(27,2)=(216,16), m5=27/2=13.5

(24,84)-(18,63)=(6,21), m6=2/7=0.285...

(84,12)-(63,9)=(21,3), m7=7.0

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         5x + 6y = 7                      Solve for either x or y in 1 of the 2 equations.
               - 6y - 6y
     -----------------------
         5x = -6y + 7 
        -----  ------  ----
          5       5      5

          x = -6/5y + 7/5



2(-6/5y + 7/5) + 2y = 4             Substitute the expression you got for x or y into 
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-2/5y + 14/5 = 4 
          - 14/5  - 14/5 
------------------------------
-2/5y = 6/5 
--------  --------
- 2/5y  - 2/5y

y = -3 



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5x - 18 = 7                                  equation that you didn't use.
    + 18 + 18
------------------
5x = 25 
---    -----
5       5

x = 5 


(x,y) ⇒ coordinate
(5,-3) ⇒ final answer

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