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sergey [27]
3 years ago
10

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = (x – 1). What is the slope-i

ntercept form of the equation for this line?
Mathematics
2 answers:
Oksana_A [137]3 years ago
7 0

Answer:

the slope intercept form is: y = x+2

Step-by-step explanation:

The general form of point slope form is : y-y₁ = m(x-x₁)

The given equation is: y – 3 = (x – 1)

comparing we get,

m = 1

and solving the equation;

y-3 = x-1

Adding +3 on both sides

y = x-1+3

y=x+2

The general formula of slope-intercept form is : y = mx+b

where m is the slope and b is the y-intercept

so, y = x+2

where m =1 and b=2

so, the slope intercept form is: y = x+2

ozzi3 years ago
6 0

Answer:

the answer is y = y= 1/2x+2

Step-by-step explanation:

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blondinia [14]
X/2 + 5 = -10
x/2 = -10 - 5
x/2 = -15
x = -15(2)
x = -30
3 0
2 years ago
Simplify Which of the following is correct?
aalyn [17]

The difference between mixed numbers gives:

-5¹/₆ - (-8¹/₂) = 3¹/₃

So the correct option is the third one.

<h3 /><h3>How to get the difference between mixed numbers?</h3>

Here we want to compute the difference between two mixed numbers.

First, remember that we can rewrite those as:

-5¹/₆ = (-5 - 1/6)

-8¹/₂ = (-8 - 1/2)

Now, let's go to the difference:

-5¹/₆ - (-8¹/₂)

First you can see that there are two negative signs together, so it is equivalent to a positive sign:

-5¹/₆ - (-8¹/₂) = -5¹/₆  + 8¹/₂

Now we can replace the mixed numbers to get:

-5¹/₆  + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3

And that can be rewritten to:

3 + 1/3 = 3¹/₃

Which is completely simplified.

So we conclude that the correct option is the third one, counting from the top.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

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6 0
1 year ago
22. Solve 7x - 9 = 28+ 4(x - 1).<br> X=-3<br> X=3<br> x = 11<br> X=-11​
aleksley [76]

Answer:

c) x = 11

Step-by-step explanation:

Given equation: 7x - 9 = 28 + 4(x - 1)

<u><em>Steps:</em></u>

1. Distribute 4 through the parentheses:

7x - 9 = 28 + 4(x) + 4(-1)

7x - 9 = 28 + 4x - 4 [simplify]

7x - 9 = 24 + 4x

2. Subtract 4x from both sides:

7x - 4x - 9 = 24 + 4x - 4x

3x - 9 = 24

3. Add 9 to both sides:

3x - 9 + 9 = 24 + 9

3x = 33

4. Divide both sides by 3:

3x ÷ 3 = 33 ÷ 3

x = 11

5. Check your work:

7x - 9 = 28 + 4(x - 1) [substitute 11 for x]

7(11) - 9 = 28 + 4(11 - 1) [simplify]

77 - 9 = 28 + 4(10) [simplify]

68 = 28 + 40 [add]

68 = 68 ✔

Learn more here:

brainly.com/question/27844321

brainly.com/question/21222758

7 0
2 years ago
Read 2 more answers
114% of 145 is what number​
Elanso [62]

Answer:

165.3

Step-by-step explanation:

8 0
3 years ago
Ana is baking cookies for her family reunion. Her recipe uses 3/4 cup sugar and has a yield of 24 cookies. How many cups of suga
Anastasy [175]

9514 1404 393

Answer:

  3 3/4 cups

Step-by-step explanation:

The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.

As a mixed number 15/4 = 3 3/4.

Ana will need 3 3/4 cups of sugar for 10 dozen cookies.

3 0
2 years ago
Read 2 more answers
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