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slamgirl [31]
3 years ago
13

Find the slope of the line that passes through each pair of points.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0
Answer: 4/7
This is a fraction

---------------------------------------------------

The two points are (x1,y1) = (2,3) and (x2,y2) = (9,7)

Which breaks down to these four facts
x1=2
y1=3
x2=9
y2=7

Plug those values into the slope formula below and simplify
m = (y2 - y1)/(x2 - x1)
m = (7 - 3)/(9 - 2)
m = 4/7

The slope is 4/7

Side Note: slope = rise/run = 4/7 so rise = 4 and run = 7. Meaning that each time we go up 4, we also go to the right 7

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Step-by-step explanation:

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calculates the sum of the first 8 terms of an arithmetic progression starting with 3/5 and ending with 1/4
N76 [4]

We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

<h3>How to get the sum of the first 8 terms?</h3>

In an arithmetic sequence, the difference between any two consecutive terms is a constant.

Here we know that:

a_1 = 3/5\\a_8 = 1/4

There are 7 times the common difference between these two values, so if d is the common difference:

a_1 + 7*d = a_8\\\\3/5 + 7*d = 1/4\\\\7*d = 1/4 - 3/5 = (5 - 12)/20 = -7/20\\\\d = -1/20

Then the sum of the first 8 terms is given by:

3/5 + (3/5 - 1/20) + (3/5 - 2/20) + ... + (3/5 - 7/20)\\\\8*(3/5) - (1/20)*(1 + 2 + 3+ 4 + 5 + 6 + 7) = 3.4 = 34/10 = 17/5

So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

If you want to learn more about arithmetic sequences:

brainly.com/question/6561461

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What is larger? 70mg or 7g please help need now
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Answer:

7 g.

Step-by-step explanation:

7g = 7000 mg

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