A line passes through (- 1, 1) and (3,9).
What is the equation of the line in slope-intercept form?
O y = x + 6
O y = 2x + 3
O y = x + 2
O y = 2x + 9

Answers

Answer 1

Answer:

y = 2x + 3

Step-by-step explanation:

Hi there!

We are given the points (-1, 1) and (3,9) which belong to a line

We want to write the equation of the line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope of the line

The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Let's label the values of the points before we start, to avoid confusion and mistakes

[tex]x_1 = -1\\y_1=1\\x_2=3\\y_2=9[/tex]

Now substitute into the formula (note: the formula has SUBTRACTION, and we have NEGATIVE numbers, so we'll end up subtracting a negative)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{9-1}{3--1}[/tex]

Simplify

m=[tex]\frac{9-1}{3+1}[/tex]

m=[tex]\frac{8}{4}[/tex]

Divide

m = 2

The slope of the line is 2

We can substitute this as m in y=mx+b.

y = 2x + b

Now we need to find b

As the equation passes through the point (-1, 1) and (3, 9), we can use either point to help solve for b.

Taking (3, 9) for example:

substitute 3 as x and 9 as y.

9 = 2(3) + b

Multiply

9 = 6 + b

Subtract 6 from both sides

3 = b

Substitute 3 as b in the equation

y = 2x + 3

Hope this helps!

Topic: finding the equation of the line

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Related Questions

HELP PLEASEEE ASAPPPPPPPP

Answers

About $ 987 billion will be spent at restaurants in 2020 if the trend continues
( if there wouldn’t be a global pandemic that shutdown all of the restaurants)

Find the length of the indicated side.
J
3x + 17
K
8x - 8
The length of side KL is
L

Answers

Answer:

KL = 32

Step-by-step explanation:

The triangle is equilateral.

JK = KL3x + 17 = 8x - 85x = 25x = 5

Finding KL :

KL = 8(5) - 8KL = 40 - 8KL = 32

please help will mark Brainliest!!​.​

Answers

Answer: 12.56
Explanation: 2pi r
2 • 3.14 • 2

solve this question please

Answers

Answer:

Step-by-step explanation:

a) 1.8 kg in grams is 1800 g

b) If 6 toys weigh 1800g; then 1 toy weighs 300 g(6:1)

c) If 1 toy weighs 300 g, 4 toys weigh 1200 g and you convert in kg which is 1.2 kg

Is the triangle proved similar?

Answers

It is not similar hope this help

Mary has 6 blouses, 5 skirts and 4 belts. How many outfits can she make, consisting of a blouse, a skirt and a belt?

Answers

Answer:

120

Step-by-step explanation:

Use the counting principle.

6 × 5 × 4 = 120

Answer: 120

solve for x !
[tex]x {}^{2} - 5x + 6 = 0[/tex]


ty! :)​

Answers

Step-by-step explanation:

[tex] {x}^{2} - 5x + 6 = 0\\ {x}^{2} - 3x - 2x + 6 = 0\\ x(x - 3) - 2(x - 3) = 0\\ (x - 3)(x - 2) = 0 \\ either \\ x - 3 = 0 \\ x = 3 \\ or \\ x - 2 = 0 \\ x = 2[/tex]

Harry invests $1000 in an investment account that earns 6% interest, compounded annually. How much money will he have in the account after 30 years?

Answers

the answer to that question is 1800

Ella conducted a survey to find out the amount of time high schoolers spend surfing the Internet. From the data collected, the range of time spent was 1 hour. What does this range say about the data?

All the students surveyed spend exactly 1 hour surfing the Internet.
All the students surveyed spend an average of 1 hour surfing the Internet.
The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour.
The quotient between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour.

Answers

The statement third “the difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour” is correct.

What is range?

It is defined as the difference between the maximum value in the data set to the minimum value in the data set.

As we know, the difference between the greatest and lowest values, called the range.

According to this response, the range is 1 hour, which is the difference between the most and least amount of time spent surfing the Internet. This is based on the term “Range.”

Thus, the statement third “the difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour” is correct.

Learn more about the range here:

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Answer:

The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour!

Step-by-step explanation:

please help will mark Brainliest!!​.​

Answers

It is in the shape of a square.

Answer:

A square

Step-by-step explanation:

Its hard to mark the coordinates but its likely for it to be a square

4x4 y3 + v y + 7

Leading term:

Leading coefficient:

Constant term:

Answers

Answer:

Leading term: 4x⁴y³

Leading coefficient: 4

Constant term: 7

The leading term contains the highest degree and power of variable.The leading coefficient is the number written in front of the variable with the largest exponent.The constant term is the simplified number written where there are no variables.

Answer:

Leading terms : 4x⁴y³

Leading co-efficient: 4

Constant: 7

Step-by-step explanation:

Leading term: Leading term is the term that holds the highest degree of the  polynomial.

     

Leading co-efficient is the coefficient of the leading term.

Constant term is the term without any variable

Vera needs repairs on her car. The mechanic’s estimate says that he will provide 7.3 hours of labor. His rate is $55 per hour. The total cost of the labor will be

Answers

Well if it is $55 per hour and it will take 7.3 hours that will equal $401.5

Explanation: 55$ • 7.3 = $401.5

Hope this helps! Please give me feedback based on my answer to you (stars, hearts, brainliest) thanks so much :)

Need help for this please

Answers

Step-by-step explanation:

what is the problem ?

we only need to use the formula that can be found easily on the internet.

the area of a circle is

pi×r²

r being the radius (half of the diameter). in our case :

14/2 = 7 m

and we shall use 22/7 as approximation for pi.

so, we get as circle area

22/7 × 7² = 22 × 7 = 154 m²

Jacob has 2 kilograms of flour. If his brother has one gram more than Jacob, how many grams of flour does Jacob's brother have?

Answers

2 kilograms of flours is 2000 grams, Jacobs brother would have 2001 grams of flour.


What is the number sentence for "1 less than N is the sum of Z and
2"?

Answers

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

        What is the number sentence for "1 less than n is the sum of z and 2?"

         [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

  ❖ First, Notice it says "1 less than n". This expression indicates that

        we subtract 1 from n, which  looks as follows:-

                                                     [tex]\Large\textit{n-1}[/tex]

❖ Now, It also says "the sum of z and 2". This indicates that we add z and

     2:-

                                       [tex]\Large\textit{z+2}[/tex]

❖ Now, Combine these two little expressions into one equation:-

[tex]\implies\sf{n-1=z+2}[/tex]

Good luck with your studies.

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

What is the solution?

Answers

Answer:

1200c^3

Step-by-step explanation:

cut the shape it to half with a square and a prism and calculate them separately then add the volume!

Hope this helps! ;-)

helppppppppppppppppppp

Answers

Answer:

√60

Step-by-step explanation:

6² = 36  ⇒  √36 = 6

8² = 64  ⇒  √64 = 8

⇒ 6 < x < 8

⇒ √36 < x < √64

Therefore, we need the square root of a number between 36 and 64.

From the given options, √60 is the only available option as:

√36 < √60 < √64

⇒ 6 < √60 < 8

Therefore, √60 is greater than 6 and less than 8.

√60

Because

Square of rest two numbers

6²=368²=64

As

60 lies in between 36 and 64

So

√60 lies in between 6 and 8.

please answer this question​

Answers

The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

What is integration?

It is the reverse of differentiation. The differentiation is the rate of change of the function with respect to variables.

The integration is given below.

[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{(1 +x)^{2022}} \ dx[/tex]

Then the integration can be written as

[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{[(1 +x)^{1011}]^2} \ dx[/tex]

Let (1 + x)¹⁰¹¹ = t. Then 1011x¹⁰¹⁰ dx = dt.

Then we have

[tex]\rightarrow \int_{1}^{\infty } \dfrac{dt}{1011 \ t^2}[/tex]

Then integrate

[tex]\rightarrow \dfrac{1}{1011} \left [ \dfrac{-1}{t} \right ]_{1}^{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ \dfrac{1}{t} \right ]^{1}_{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ 1- 0 \right ]\\\\\\\rightarrow \dfrac{1}{1011}[/tex]

The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

More about the integration link is given below.

https://brainly.com/question/18651211

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4. For exercise, Francesca walks laps around a track. She walked 0.9 of a lap around the track in 5 minutes. If each lap is 440 yards, how fast did
Francesca walk?
•88 yards per minute
•360 yards per minute
•90 yards per minute
• 79.2 yards per minute

Answers

Answer:

79.2 yards per minute

Step-by-step explanation:

First you 440 times 0.9. which equals 396. Then you divide the answer by 5 to get 79.2.

Determine the distance between the points plotted on the graph. Round to the nearest tenth, if necessary.

Answers

Answer:

d= 4[tex]\sqrt{2}[/tex] or 5.66

Step-by-step explanation:

(-2,7) and (2,3)

d = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]

d= [tex]\sqrt{(2-(-2))^{2} + (3-7)^{2} }[/tex]

d = [tex]\sqrt{16 + 16}[/tex]

d= 4[tex]\sqrt{2}[/tex] or 5.66

Kevin walked Three-fourths of a mile in 12 minutes. Assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?

Answers

Answer:

He walked 1/16 of an entire mile in 1 minute

Step-by-step explanation:

What is the slope of a line that passes through the points open parentheses 5 comma 3 close parentheses and open parentheses 7 comma short dash 4 close parentheses?

Answers

Answer:

[tex]slope \: = - \frac{ 7}{2} [/tex]

Step-by-step explanation:

To find the slope of the line that passes through the points

[tex] \: {x}^{1} \: \: {y}^{1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} \: \: \: \: {y}^{2} \\ (5, \: \: 3) \: \: \: and \: \: (7, \: - 4)[/tex]

We have to follow the formula:

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ \frac{ - 4 - 3}{7 - 5} \\ \\ slope = - \frac{ 7}{2} [/tex]

Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answers

x > 3

Step-by-step explanation:

The final step in solving the inequality –2(5 – 4x) < 6x – 4 is

-6/-2 < x = 3 < x

Question 16
The triangular prism below represents the shape of Sylvia's tent.
Sylvia's Tent
6 feet
6 feet
10 feet
8.5 feet
What is the volume of the tent in cubic feet?
C 255
D 360
A 180
B 241
1 point

Answers

Answer:

180^3'

Step-by-step explanation:

6x6=36.

36x10=360.

360 divided by 2= 180.

:}

Hello please help me………….thank you

Answers

Answer:

1. False —> that’s how you find the perimeter.

2. False —> area is measured in square units.

3. False —> you can only use a multiplication.

4. True —> (2x6) + (2x8) = 28 inches.

5. False —> 5x5 = 25 square meters.

—-

Have a nice day!!

Answer:

Step-by-step explanation:

1 False. The suggestion given is for Perimeter, not area.

2 False. The perimeter is given in units not square units. For example, the Perimeter of square with one side of 7 in is 4 * 7 inches is 28 inches

3 False. You can only use multiplication equations to find a rectangle's area (or at least it is the easiest way to do it.) Higher math courses find areas by using multiplication and addition, but I'm pretty sure you are not in a higher math course.

4.True

5 False. The area of a square is 5 * 5 = 25. Not 4*5 = 20

4) The lower cable meets the tree at a height of 12 feet and extends out 32 feet from the base of the tree. If the tria
similar, how tall is the tree?
56 ft
The tree is ft tall.
Question 4

Answers

The tree would be approximately 34 feet tall.

Explanation: This is a Pythagorean Theorem problem. 12^2 + 32^2 = 1,168. The square root of 1,168 is 34.176, which rounds down to 34.

please type the write answer​

Answers

Step-by-step explanation:

the only thing that I can tell you about it

To multiply 64 • 8.32, use the logarithmic equation:
1) log 72.32


2) log 64 + log 8.32


3) antilog 64 + antilog 8.32


4) (log 64)(log 8.32)

Answers

To multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32

To answer the question, we need to know what logarithm of a number is

What is the logarithm of a number?

The logarithm of a number x is the power to base 10 of that number.

So, logarithm of x to base 10 is written as ㏒x.

Since we want to multiply 64 × 83.2, we convert this to logarithmic equation using the addition rule of logarithm.

Addition rule of logarithm

㏒ab = ㏒a + ㏒b

So, 64 × 8.32 to logarithm is ㏒(64 × 8.32) = ㏒64 + ㏒8.32

So, to multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32

Learn more about logarithm here:

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What happens with rotational symmetry?

Answers

Answer:

The shape of an object looks the same when an object is rotated on it's own axis

The tracking number for a package is 693840002. You mistakenly type 698340002 and get tracking information on a different package. Why was the tracking number you entered not recognized as being incorrect?

Answers

Answer:

See below ~

Step-by-step explanation:

The tracking number for the package is : 693840002

The number you have typed in is : 698340002

The place values of 8 and 3 in the tracking number have been switched. Therefore, as it is not the same tracking number, you get tracking information of a different package which corresponds to the number.

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