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pogonyaev
3 years ago
15

Find the slope of the line through points

Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

The answer is

\huge  \frac{1}{9}  \\

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

From the question we have

m =  \frac{3  - 2}{1 -  - 8}  =  \frac{1}{1 + 8}  =  \frac{1}{9}  \\

We have the final answer as

\frac{1}{9}  \\

Hope this helps you

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A teacher wrote the equation 3y + 12 = 6x on the board. For what value of b would the additional equation 2y = 4x + b form a sys
guajiro [1.7K]
3y + 12 = 6x
3y = 6x - 12
y = 2x - 4

2y = 4x + (-8)
y = 2x + (-4)....the same as y = 2x - 4

b would have to be a -8
3 0
3 years ago
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Can someone help me with number 8 please? Thank you.
Naddik [55]
Answer: -4 \le x \le 5
Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write \left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\}

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

Explanation:

The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.

So that's how I got -4 \le x \le 5 (x is between -4 and 5; inclusive of both endpoints)

Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"

Writing \left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\} is the set-builder notation way of expressing the domain. The x\in\mathbb{R} portion means "x is a real number"

6 0
3 years ago
Does anyone know the answer?I am stuck? Please explain it to me!
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bridget recieved 1400 from her grandfather as a birthday gift she decided to put the money in an account to save for college the
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Answer:

The amount received after 5 years is 1827.39

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The amount received by Bridget from his grandfather as the birthday gift = 1400 .

Since he wants to deposit it and save for college, he earns interest rate = 5.4%

He deposited this money for the years = 5 years.

Here, the Present value (PV) is = 1400

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Since the interest rate is compounded semi annually, So, n = 10

Now if we calculate the future value of 1400 with interest rate 5.4 percent:

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Therefore, 1827.39 will be the total money in his account after five years.

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