What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1)

Answers

Answer 1

Step-by-step explanation:

Hey there!

Note: Use double point formula for finding the eqaution which passes through two points.

Given;

The points are; (1,-3) and (3,1).

Use double point formula.

[tex](y - y1) = \frac{y2 - y1}{x2 - x2} (y - y1)[/tex]

Put all values.

[tex](y + 3) = \frac{1 + 3}{3 - 1} (x - 1)[/tex]

Simplify it.

[tex](y + 3) = \frac{4}{2} (x - 1)[/tex]

[tex]y + 3 = 2(x - 1)[/tex]

[tex]y + 3 = 2x - 2[/tex]

[tex]y = 2x - 2 - 3[/tex]

[tex]y = 2x - 5[/tex]

Therefore, the eqaution is y = 2x-5.

Alternative:

Steps:

Find slope using slope formula and use one point formula.Simplify in the form of y = mx+c form.

Formula:

Slope = (y2-y1)/(x2-x1)One point formula= (y-y1)= m(x-x1)

The points are; (1,-3) and (3,1).

Now;

Slope= (1- (-3))/(3-1)

= (1+3)/2

= 2

Again;

Using one-point formula.

(y+3) = 2(x-1)

y+3= 2x-2

y = 2x -5

Therefore, the equation is y = 2x-5.

(You can follow up any method you want)

Hope it helps....


Related Questions

Find the distance of each pair of points. Round your answer to the nearest tenth, if necessary

Answers

Answer:

6.4

Step-by-step explanation:

There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.

Answers

Given that,

The three numbers are consecutive

The three numbers are

x

x + 1

x + 2

Also,

x × (x + 1) = (x + 2) + 7

x² + x = x + 9

x² + x - x = 9

x² = 9

x = √9

x = 3

The three numbers

x = 3

x + 1 = 4

x + 2 = 5

The sum of the three numbers

3 + 4 + 5 = 12

Find the slope and y-intercept of the graph. y=5x-3

Answers

Answer:

Step-by-step explanation:

y=mx+b

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

so for y=5x-3 your slope would be 5 and your y-intercept would be -3

The equation y = 5x - 3 represents a line with a slope of 5 and a y-intercept of -3.

How to Find the Slope and the Y-intercept of a Graph?

The equation of a graph can be expressed as y = mx + b, which is in the slope-intercept form. This means that:

m is the slope

b is the y-intercept of the graph.

The line described by the equation y = 5x - 3 has a slope of 5, meaning that as x increases by 1, y increases by 5. The y-intercept, represented by the constant term -3, indicates that the line intersects the y-axis at the point (0, -3).

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The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *

Answers

Answer:

You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.

If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.  

If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.  

this pattern keeps repeating.

Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.

Answers

Answer:

2 books in one month

Step-by-step explanation:

Answer:

2 books per month .

Step-by-step explanation :

6 divided by 3 = 2

So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )

Hope that helped :)

which number is bigger 1.59 or 1.955

Answers

Answer:

1.955 is bigger

Step-by-step explanation:

1.955>1.59

Answer:

1.955

Step-by-step explanation:

This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59

What value of x makes this equation true?
x/3 - 3 = x/9 + 3

Answers

Answer:

x = 27

Step-by-step explanation:

hope this helps :)

1. –X + Y = -22X – Y = 6

2. X + Y = 5-2X + Y = -4

Answers

Answer:

1. –X + Y = -22X – Y = 6

2. X + Y = 5-2X + Y = -4

Step-by-step explanation:

I really need help so please help me out

Answers

Answer:

The answer is option 2.

Step-by-step explanation:

Given that the TU and UF added up together to form a length of 32. In order to find TU, you have to subtract length of UF from 32 :

TU + UF = 32

TU + 20 = 32

TU = 32 - 20

TU = 12

A recipe used 1/2 cup of sour cream for every 1/4 teaspoon of salt. What is the unit rate of teaspoons of salt per cup of sour cream?​

Answers

Answer:

1/2 teaspoons of salt per cup of sour cream

Step-by-step explanation:

multiply 1/2 and 1/4 by 2 to get 1 and 1/2. Since the question is teaspoons of salt per cup of sour cream, flip the numbers to get 1/2 teaspoons of salt per 1 cup of sour cream.

PLEASE HELP ;)
Who did it right?

Find the slope of the line perpendicular to 2x+3y=8

Answers

Answer:

Marissa.

Step-by-step explanation:

To find perpendicular slope you basically take the slope of the given line and reverse whatever sign it had previously. (If it was negative, it would become positive. If it was positive it would become negative.)

By doing -A/B it make the previous slope negative.

Brandon only flipped the fraction which would just result in the slope being slightly steeper, or in this case, less steep than the previous line, rather than making it perpendicular.

Hope this helps! Stay safe and if you have any questions feel free to ask!

write and equation of the line that passes through the point (4, -2) and has a slope of -1/2.

Answers

Answer:

y

=

1

3

(

x

+

3

)

Step-by-step explanation:

The point-slope form of a linear equation is:  

(

y

y

1

)

=

m

(

x

x

1

)

Where  

(

x

1

,

y

1

)

is a point on the line and  

m

is the slope.

Substituting the values from the point in the problem and the slope provided in the problem gives:

Answer:

y=-1/2x

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-4)

y+2=-1/2x+4/2

y+2=-1/2x+2

y=-1/2x+2-2

y=-1/2x

can y’all help please :)

Answers

number three ? I’m not sure

Replacing one regular light bulb with a
compact fluorescent bulb will save 151.56
pounds of carbon dioxide per year. If you
replace 25 regular light bulbs, then how
many pounds of carbon dioxide will you save
per year?

Answers

Answer:

3789 pounds of carbon dioxide

multiply 151.56 by 25

Answer:

3789

Step-by-step explanation:

edge 2020

The sum of two integers with different signs is 16. What two integers fit this description?

-2 and 18
-18 and -18
-14 and -2
-14 and 2

Answers

-2 and 18 add to 16

A partial proof was constructed given that MNOP is a parallelogram.

Which statement should fill in the blank in the last line of the proof?

A. angle M is supplementary to angle O.


B. angle N is supplementary to angle P.


C. angle M is congruent to angle P


D. angle N is congruent to angle P.

Answers

Answer:

B

Step-by-step explanation:

B. angle N is supplementary to angle P

Answer:

B

Step-by-step explanation:

Will mark branilest!!

Answers

Answer:

B?

Step-by-step explanation:

(This is math. Is that question supposed to be math? I'm not sure)

Amica surveyed 100 students in sixth grade about their favorite sports.
1\5 of the students said basketball was their favorite sport

3/4of the students said baseball was their favorite sport
• The remaining students said they didn't like any sports

How many students said they didn't like any sports

0 75
O 20
O 55
O 5

Answers

Answer:

5

Step-by-step explanation:

Add 1/5 + 3/4. Answer: 19/20 likes sports.

HELP PLEASE!! I NEED TO GET THIS TURNED IN

Answers

Answer:

the 10.5

Step-by-step explanation:

it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three

answer the question below, 100 points (and brainliest if it lets me, im desperate)

Answers

It will take the diver 6.24 seconds

What are the last 3 digits of 5 to the power of 2020?

Answers

Answer:625

Step-by-step explanation:

The perimeter of a​ 6-sided figure is 67.74 meters. Two of the sides have the same length. The sum of the other 4 side lengths is 36.4 meters. About how long is each of the​ same-side lengths?

Answers

31.41 that the answer

Each of the​ same-side lengths is 15.67.

What is perimeter?

It is the sum of length of the sides used to made the given figure.

We have been given that the perimeter of a​ 6-sided figure is 67.74 meters. Two of the sides have the same length. And the sum of the other 4 side lengths is 36.4 meters.

Let the same side be a.

The perimeter of the figure = 6 x side

The perimeter of the figure = 2a + 36.4

67.74 = 2a + 36.4

2a = 67.74 - 36.4

2a = 31.34

a =15.67

Therefore, each of the​ same-side lengths is 15.67.

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PLS HELP ASAP I WILL GIVE BRAINLYEST...
20 Points...

Answers

Answer:

True

True

False

True

Step-by-step explanation:

Hakim’s electrical car can go 180 miles on 2/3 of a full charge . How far can it go on 1 full charge?

Answers

Answer:

270 miles

Step-by-step explanation:

divide 180 by two to get a third, which is 90. Multiply by three to get the answer, which is 270

Answer:

270

Step-by-step explanation:

as you can see above me

what is the quotient of 0.12/24.12

Answers

Answer:

0.00497512437

Step-by-step explanation:

but make sure to round it. it should be 0.005 rounded to the nearest thousandth place but make sure if im correct im not too sure.

Select the correct answer. What can we determine about the SmartPhone Inc. stock when we see its returns (dashed line) compared with the NASDAQ Composite Index of growth companies (solid line). A. The SmartPhone Inc. stock performed better than the NASDAQ Composite during 2015. B. The SmartPhone Inc. stock performed worse than the NASDAQ Composite in 2015 and 2016. C. In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. D. The SmartPhone Inc. stock price steadily decreased between 2015 and 2017. E. The SmartPhone Inc. stock performed better than the NASDAQ Composite Index between 2015 and 2017.

Answers

Answer:

C

Step-by-step explanation:

Plato(:

What we determine about the SmartPhone Inc. stock when we see its returns compared with the NASDAQ Composite Index of growth companies is In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. This is further explained below.

What is stock?

Generally, stock is simply defined as the money raised by a firm via the issuing and subscribing of shares.

In conclusion, When compared to the NASDAQ Composite Index of growing firms, the SmartPhone Inc. stock is In 2018, SmartPhone Inc. shares began to outperform the NASDAQ Composite Index.

Read more about Stock

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What is 325.623 rounded to the nearest tenth

Answers

325.6 is your answer :

If the number that comes before it is smaller than 5, you keep the number the same. If it’s larger than 5, then you boost it up one. For example, if it was 325.683, you’d round that to 325.7.

Hope that helps!

Answer: 325.6

Step-by-step explanation: 6 is in the tenth place and you don't round up the two

Please help me I need help please?

Answers

A linear function is a function that creates a straight line when graphed. The difference between this graph and others is that this function is constant instead of curved. I’d like to see an example of this in the real world as a relationship between profit and merchandise.A quadratic function is a function that has multiple variables allowing the graph to curve. The difference between this function and the others is that this function is squared allowing for a greater curve that looks like a U. I’d like to see a example of this in the real world as missiles being launched since the curve is similar.A exponential function is a function in which the function grows at a fast rate. The difference between this function and the others is that this function curves in a constant rate then the x increases continuously. I’d like to see an example of this in the real world as the interest in a bank since it increases per month.

Adam has a bag containing x counters. He adds four more counters to his bag. Write an expression for the number of counters in Adam's bag now.​

Answers

Answer:

x+4

Step-by-step explanation:

2. Addison bought 9 pumpkin pies for $27. How much will she pay for 11 pumpkin pies? Use numbers and words to explain your answer.​

Answers

Answer:

$33

Step-by-step explanation:

Since 9 pies is 27 dollars that means you have to divide 27 by 9 to find out what 1 pie costs

1 pie ends cause costing $3

now you multiply the cost for 1 pie and 11 so it comes out to be $33

It is 33 doll hairs
Ksosksos
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