What is the equation of the line that passes through the points (2,3) and (6,5)

Answers

Answer 1

Answer:

[tex]y=\frac{1}{2}x+2[/tex]

Step-by-step explanation:

We can find the slope by using the formula

[tex]\text{slope}=\frac{y_1-y_2}{x_1-x_2}[/tex].

Plugging in the points (2,3) and (6,5), we have

[tex]\text{slope}=\frac{5-3}{6-2}=\frac{2}{4}=\frac{1}{2}.[/tex]

Therefore, the slope is [tex]\frac{1}{2}.[/tex] We can then write the line in slope-intercept form, which is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

We already found the slope, so we know the equation is of the form

[tex]y=\frac{1}{2}x+b.[/tex]

We can now plug in either one of the points to find [tex]b.[/tex] Plugging in (2,3), we get

[tex]3=\frac{1}{2}(2)+b[/tex].

To solve for [tex]b[/tex], we can subtract 1 from both sides of the equation:

[tex]3=1+b[/tex]

[tex]b=3-1=2[/tex].

Now, we have all the variables we need to write the equation in slope-intercept form. We know [tex]m=\frac{1}{2}[/tex] and [tex]b=2[/tex], so the equation is

[tex]y=\frac{1}{2}x+2.[/tex]


Related Questions

Your birds drink 8 1/3 ounces of water a day. How many ounces of water do they drink in 6 days?​

Answers

50 ounces

hope it helps...!!!

Susie bought 5 apples for $2.25. If she buys 8 apples at the same rate, how much will it cost? Do NOT put the dollar sign in your answer.

Answers

if you divide 2.25 by 5 it is .45 then you do .45 times 8 then it equals 3.60.
so the answer is 3.60

Answer:

3.60

Step-by-step explanation:

well, here we go Let the cost of 8apples =x5 apples equals $2.258 apples will cost= x x= 8×2.25/5=3.60

Question 30 of 33
Which of the steps will cause the rectangle to map onto itself?
A. Reflect across the y-axis, then shift 9 units right
OB. Reflect across the y-axis, then shift 6 units right
OC. Reflect across the y-axis, then shift 7 units right
OD. Reflect across the y-axis, then shift 8 units right
Q All
About 1,04
Regular t
We have
more tha
180° (whi
https://mat
Tessella
Questio
Bra
Questi

Answers

ob because that is the best one

What is the volume of a triangular pyramid, with a base area of 12 square centimeters and height of 8 centimeters? Enter your answer in the box.
________ cm³

???

Answers

Step-by-step explanation:

To find the volume of triangular pyramid we are given two parameters that is base area of pyramid and height which is required,

Volume of pyramid given by:-

V = 1/3*bh

V = 1/3*12*8

V = 4*8

V = 32cm³

Hence the volume of triangular pyramid is 32cm³

Solve this for 20 points be fast!!

Don’t mind the scribes

Answers

Answer:

One cubed shape block volume = 0.125 cubic feet

Step-by-step explanation:

Since the edge length of each block is 1/5 the edge length of the storage container, we do this:

1/5 x 2.5 = 0.5

Now we know that the edge length of each block is 0.5 feet. To find the volume of it, we do this:

0.5^3 = 0.125

The volume of one cubed shape block is 0.125 cubic feet.

In a city, 45% of the bus riders with a monthly pass are students. In a random sample of 50 bus riders with monthly passes, 18 are students.

What is ρ and ρˆ ?

ρ=0.45, ρˆ=0.18


ρ=0.45, ρˆ=0.36


ρ=0.18, ρˆ=0.45


ρ=0.36, ρˆ=0.45

Answers

Answer:

ρ =45% or 0.45

ρ with ^ = [tex]\frac{18}{50} =0.36[/tex] or equivalently 36%

Step-by-step explanation:

ρ represents the population proportion of the bus riders, with a monthly pass, who are students.

The population proportion is simply the percentage of the entire population with a particular characteristic. We have been informed that in a city, 45% of the bus riders with a monthly pass are students. This means that 45% of the whole population of bus riders with a monthly pass are students. Therefore, our ρ is simply 45% or 0.45.

ρ with ^ represents the sample proportion of the bus riders, with a monthly pass, who are students. This is a statistic or an estimator as it is normally used to estimate the value of ρ, the population proportion. It is calculated using the formula;

ρ with ^ = [tex]\frac{x}{n}[/tex]

where n represents the size of the sample and x the number of individuals in the sample with a certain desired characteristic. We have been informed that;

in a random sample of 50 bus riders with monthly passes, 18 are students.

Using the above formula and the values given we have;

ρ with ^ = [tex]\frac{18}{50} =0.36[/tex] or equivalently 36%

What amount of money must you invest at 6.8% compounded monthly, in order to have $10,000 after 10 years? Round your answer to the nearest dollar.

Answers

The amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

The rate of interest is 6.8% on the amount which is compounded monthly

The value of final amount is $10,000 after the time period of 10 years. There are total 12 months a year. Thus, the value of principal amount using the above formula is,

[tex]10000=P\times\left(1+\dfrac{6.8}{12\times100}\right)^{12\times10}\\10000=P\times1.97\\P=\dfrac{10000}{1.97}\\P=5076.14\\P\approx5076[/tex]

Thus, the amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.

Learn more about the compound interest here;

https://brainly.com/question/24274034

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L
9) Consider the following equations:
x= 10-t
t + 50 = x2 + 50
What equation would result from
combining the given equations?

Answers

pic po please please please please

If 60 is increased by 90%, what is the new amount?

Answers

Answer:

114

Step-by-step explanation:

1.14 x 10²

pls mark me as brailiest if it is correct and learn well

AaaaAAAAA HELP THIS IS TIMED

Answers

Answer:

2

Step-by-step explanation:

After placing the 2 as the coefficient all of the atoms for their respective elements will be balanced.

Translate the sentence into an equation.
Two less than the product of 3 and a number equals 7.
Use the variable w for the unknown number.

Answers

Answer:

3w - 2 = 7

Step-by-step explanation:

product of 3 and number (w)

= 3w

two less than that

= 3w - 2

thus, 7 = 3w - 2

A 10 ounce can of peaches cost $2.40 in a 25 ounce can of peaches cost $4.80 what is the unit price of the 25 ounce can of peaches

Answers

Unit price = total price / size


unit price for 25 ounce can :


$4.80 / 25 ounces = $0.192 per ounce

A company selling products online held a survey asking a group of people about the number of products they ordered online in a month. The table below shows the results of the survey.

Products Ordered
Number of Products Number of People
0 4
1 6
2 3
3 4
4 5
Number of Products Number of People
5 3
6 3
7 2
8 2
9 1

Which dot plot best displays the data in the table?

Answers

Answer:

wed need to see an attatchment of the dot displays to give you an answer friend

If tan x = 1/2 , find sin x
The values of x are in between 0 and 2π

Answers

The equation tan(x) = 1/2 is an illustration of a trigonometry ratio

The value of sin(x) is sin(x) = ±1/√5

How to determine sin (x)?

The tangent ratio is given as:

tan(x) = 1/2

The tangent ratio is calculated using:

tan(x) = opposite/adjacent

So, we have:

Opposite = 1 and adjacent = 2

Calculate the hypotenuse using:

Hypotenuse² = Opposite² + adjacent²

The equation becomes

Hypotenuse² = 1² + 2²

Hypotenuse² = 5

Take the square root of both sides

Hypotenuse = ±√5

The sine ratio is:

sin(x) = Opposite/Hypotenuse

So, we have:

sin(x) = ±1/√5

Read more about trigonometry ratios at:

https://brainly.com/question/13276558

1. Some jobs pay a commission plus bonus at the end of the year. The bonus may
be a percent of the
7% commission on all sales. At the end salesperson's total commission. Madelyn is a of the year, she receives a bonus sales representative for a luxury home builder. She receives of 5% of her total commissions for
the year. What is Madelyn's gross pay for a
year in which she had sales totaling $412,454?

Answers

Answer:

so let's start

Step-by-step explanation:

[tex]total \: sales = 412454 \\ 7\% = \frac{7}{100} \\ = 0.07 \\ 0.07 \: is \: rate \: of \: commision \: on \: total \: sales \\ 0.07 \times 412454 = 28871.78 \: dollars \\ but \: 5\% \: is \: given \: as \: percentage \: of \: the \: amount \: from \: 7\% \: commission \\ 5\% = \frac{5 }{100} \\ = 0.05 \\ 0.05 \times 28871.78 = 1443.589 \: dollars \: \\ total \: income \: = 28871.78 + 1443.586 \\ = 30.315.369 \: dollars \\ \\ thanks[/tex]

A catering company offers meal pairings that include an appetizer of either salad or soup and an entree of either chicken or fish. At one
event, they serve a total of 78 meals. Of the 46 meals that include salads, 21 also include fish. There are 35 meals with fish as the
entree. Determine which two-way frequency table represents this situation.
Salad Soup Total
Chicken 18 25 43
Fish 14 21 35
Total
46 78
32
by Salad Soup Total
Chicken 23 16 39
Fish
23
16
39
Total
46
32
78
Salad Soup Total
Chicken
25
18
43
Fish
21
14
35
Total
46
32
78
Salad Soup Total
Chicken
32
46
78
Fish
46
32
78
Total
78
78
156

Answers

The two-way frequency table that represents this situation is :

             Salad  Soup Total

Chicken   25       18       43

Fish           21        14       35

Total         46        32     78

What is the two way frequency table that represents the data?

A two way table is used to show the frequency for two categorical variables.

The total meal served = 78 Total salad meal served = 46 Total soup served = 78 - 46 = 32 Salad meals that had fish = 21Salad meals that had chicken = 46 - 21 = 25

To learn more about two way frequency tables, please check: https://brainly.com/question/27344444

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Answer: Option A  Salad Soup Total

Chicken 25 18 43

Fish 21 14 35

Total 46 32 78

Step-by-step explanation:

Find m2ABC.
Ad
37°
21°
B
m/ABC =
C

Answers

Answer:

it might be 58 , just look it up I don't really know

[tex]\bold{ANSWER:}[/tex]
58

[tex]\bold{EXPLANATIONS:}[/tex]

If you flip 2 coins 60 times what is the best possible prediction that the coin will land on heads?

Answers

if you had a fair coin, the probability of seeing heads is 1/2, meaning you’d see heads 30 times

A,B,C are the verticles of a triangle.

Answers

Answer:

i dont know if it is a true or false question bc there isnt enough info

Step-by-step explanation:

so ima say true

PLS ANSWER THIS QUESTION
WILL MARK BRAINLIEST

Answers

I think its 71, but I am not 100% sure. Take this as a secondary answer.

Answer:

C. 71°

Step-by-step explanation:

If angles 4 and 12 are equal and complementary, then they measure 45°

There is a triangle formed by angles 3, 11 and 12

the angle 3 = 64°, angle 12 = 45°

Then by the property of triangles:
angle 11 = (180 - 64 - 45)° = 71°

Hope this helps

The graph shows the relationship between the distance a car travels and the time the car travels. Determine the speed of the car?
A. 25 mph
B. 50 mph
C. 60 mph
D. 75 mph

Answers

I think it’s D, 75 mph


Randall is cutting a
submarine sandwich into smaller pieces. He has 4 feet
of sandwich that he wants to divide into-foot
sandwiches. How many sandwiches will he have after
he cuts the sandwich?

Answers

Randall will have 4 sandwiches. If he wants 1 foot pieces and has 4 feet of sandwich, that will turn into 4 of them.

126 is 60% of what number

Answers

Answer:

210

Step-by-step explanation:

126 is 60% of What Number? - 126 is 60% of 210. 100% of 210 is 210, therefore 60 percent of 210 equals 126.

Formula = Number x 100

Percent = 126 x 100

60 = 210

Following shows the steps on how to derive this formula and find out 60% of what number is 126.

Step 1: If 60% of a number is 126, then what is 100% of that number? Setup the equation.

126

60% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

60Y = 126 x 100

60Y = 12600

Y = 12600

100 = 210

What is  126 % of 60 ? = 210

Answer: …

Step-by-step explanation:

Well, 126 is 60% of 210. 100% of 210 is 210, therefore 60 percent of 210 equals 126

URGENT PLEASE HELP!!

Thank you so much !

Answers

Answer:

1. d 2. A 3. c

how many numbers between 19 and 79 are the prouducts of two even numbers?

Answers

the answer is 15 (brainly is omd)

Determine the average rate of change, in gallons of gas per year, from 1960 and 1999 and then determine what the result means in this situation. a. -0.33gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by a third of a gallon per year. b. 0.33 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by a third of a gallon per year. c. 2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by nearly 3 gal/year. d. -2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by nearly 3 gal/year.

Answers

Answer:

D-step explanation:

None just guessed

graph the solution set for the inequality a/2 + 5 > 4

thanks!

Answers

Answer:

The answers is below in the picture.

Step-by-step explanation:

What is the distance between M and H

Answers

The distance between H and M is 24

The graph shows the distribution of times (in hours) that teenagers spend playing video games per week. The distribution is approximately Normal, with a mean of 14 hours and a standard deviation of 4 hours.
What percentage of times are between 6 and 22 hours?
16%
68%
95%
99.7%

Answers

Answer:

16 times of percent of 6 is between 22

Answer:

C

Step-by-step explanation:

Stole the answer off a website (cant name it here)

Problem 21 pls helps

Answers

Answer:

f(-10) = -2

Step-by-step explanation:

[tex] y =\frac{20}{x}[/tex]

Replace y by f(x)

[tex]\implies f(x)=\frac{20}{x}[/tex]

Plug x = -10

[tex]\implies f(-10)=\frac{20}{-10}[/tex]

[tex]\implies f(-10)=-2[/tex]

Answer:

-2

Step-by-step explanation:

sub -10 in place of x and divid to give you -2

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