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Ray Of Light [21]
3 years ago
7

What is the standard form of the points (-3,4) (2,-6)

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

The standard form equation of the line connecting the two points is 2x +  y = -2

Linear equation in a standard form is given as Ax + By = C

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

where,

(x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)

Substitute

slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2

Step 2: Find the y-intercept (b) of the line by substituting (x, y) = (-3,4) and m = -2 into y = mx + b (slope-intercept form)

4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2

Step 3: Write the equation of the line in slope-intercept form by substituting m = -2 and b = -2 into y = mx + b

y = -2x + (-2)\\y = -2x - 2

Step 4: Rewrite the equation in standard form (Ax + By = C)

y = -2x - 2\\

Add 2x to both sides

2x + y = -2x - 2 + 2x\\2x +  y = -2

The standard form equation of the points (-3,4) and (2,-6) is 2x +  y = -2

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

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Natalie paid $14.99 to join an online music service. If she purchases 9 songs each month at a cost of $0.99 per song, what will
ycow [4]

Answer:

Natalie Spent $59.54 on songs after 5 months at online music service.

Step-by-step explanation:

Total membership cost =$14.99

Number of songs purchased in each month = 9

Cost per song = $0.99

We need to find total amount she had spent after 5 months.

Solution:-

So First we will Number of songs purchased in 5 months.

1 month = 9 songs

So in 5 months = Songs purchased in 5 months.

By Using Unitary method we get;

Songs purchased in 5 months =  

Now Also Given:

1 song = $0.99

45 songs = Cost for 45 songs.

Again by using Unitary method we get;

Cost for 45 songs =  

No Total Amount Natalie spent after 5 months is equal to Total membership cost plus Cost of songs purchased in 5 months.

framing in equation form we get;

Total Amount Natalie spent =  

Hence Natalie Spent $59.54 on songs after 5 months at online music service.

5 0
2 years ago
Read 2 more answers
There are 9 gallons of paint for the students to use to paint the fence outside of the schoolyard. Each student has a bucket tha
Vera_Pavlovna [14]

Answer:

27 buckets.

Step-by-step explanation:

If we multiply the 9 gallons of paint by the denominator of the number of gallons that fit into one of the buckets we can discover the answer to the question.

Brainliest please.

6 0
3 years ago
What is 10% as a decimal?
DiKsa [7]
Hi there!

10% as a decimal is 0.1

To find the decimal of a percentage, just divide the percentage by 100.

10/100 = 1/10 = 0.1

I hope this helps!
6 0
3 years ago
Which solid has five faces, four lateral faces, one base, five vertices, and eight edges?
Tanzania [10]
The solid that has five faces , four lateral faces, one base, five vertices, and eight edges would be :
Square pyramid

Hope this helps
6 0
3 years ago
Analyze the following table of values.<br><br> y=1/2x<br> y=1/2^x2+4<br> y=4^x2+1/2<br> y=4(1/2)x
Fittoniya [83]

The table models an exponential relationship, and the equation of the table is y = 4(1/2)^x

<h3>How to analyze the table of values?</h3>

The table of values is given as:

x  0   1    2   3    4

y  4   2    1   1/2  1/4

The above table shows an exponential model

An exponential model is represented as:

y = ab^x

When x = 0 and y = 4, we have

ab^0 = 4

Evaluate

a = 4

When x = 1 and y = 2, we have

ab^1  = 2

Evaluate

ab  = 2

Substitute 4 for a

4b  = 2

Divide both sides by 4

b = 1/2

Substitute 4 for a and 1/2 for b in y = ab^x

y = 4(1/2)^x

Hence, the equation of the table is y = 4(1/2)^x

Read more about exponential models at:

brainly.com/question/11464095

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6 0
2 years ago
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