Write the equation of a line that includes the point (1, 5) and has a slope of 3 in slope-intercept form

Answers

Answer 1

Answer:

y=3x+2

Step-by-step explanation:

y=mx+b

We have our m, which is slope, but we need our y intercept, b.

Substitute your slope, x, and y into the formula and solve for b.

5=3(1)+b

5=3+b

-3 -3

2=b

Now we can plug into equation.

y=3x+2


Related Questions

How many cupcakes can I make with 16 cups of batter if I pour 2/3 Cup of batter into each cake?

Answers

Answer:

Step-by-step explanation:

16×2/3

32/3

104

whats 1000000000000000000000000x10000000000000000000000000

Answers

Answer:

I think my calculator broke and it gave me 1e49

Mr. Donley drove 504 km in each direction on a vacation
trip. The average rate going was 14 km/h faster than the
rate returning. The total time for the entire trip was 21
hours. Find the average rate for each direction.

Answers

Answer:

Data that we know:

He drove 504km in each direction.

Going, the average speed was 14km/h more than returning.

The total trip lasted 21 hours.

Ok, to solve this first:

Let's define the variables:

Sg = Average speed when going.

Sr = Average speed when returning.

Then we can write one of our relationships as:

Sg = Sr + 14km/h.

Now, you can recall the relation:

Time = Distance/speed.

Then we can write the equation that represents the total time of the travel as:

504km/Sg + 504km/Sr = 21h

Now we can replace the Sg by Sr + 14km/h, and get:

504km/(Sr + 14km/h) + 504km/Sr = 21h.

Now we must multiplacate by each denominator, in order to remove them:

504km*Sr + 504km*(Sr + 14km/h) = 21h*Sr*(Sr + 14km/h)

Sr*1008km + 7056km^2/h = 21h*Sr^2 + 294km*Sr

Now we can write a cuadratic equation, where i will ignore the units so it is easier to read, as:

21*Sr^2 -714*Sr - 7056 = 0

The solutions are given by the Bhaskara formula:

[tex]Sr = \frac{714 +- \sqrt{714^2 - 4*21*(-7056)} }{2*21} = \frac{714 +- 1050}{42}[/tex]

We have two solutions, one negative and one positive, and because Sr represents an average speed, it must be a positive number, then we choose the positive solution:

Sr = (714 + 1050)/42  km/h = 42km/h

Now we have the average speed for the returning, with this we can find Sg.

Sg = Sr + 14km/h = 42km/h + 14km/h = 56km/h.

Write the equation of the line that passes through the given points.
(0,1) and (7,5)

Answers

the answer is y=6/7x+1

152
Find the x of the angle

Answers

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So first we will do 180-152 to get the measure of the angle besides the angle. That'll give us 28, then we know that those base angles of this mini triangle are congruent so we will do 28+28 to get 56. Now we will do 180-56 to get the last angle of the triangle, which is 124. And this angle is the same as the angle with x because they are corresponding angles so x is 124°.

What is the slope of the function?
-6
-4
4
6​

Answers

Answer:

-6

Step-by-step explanation:

TO find the slope pick two points and do y2 - y1 / x2 - x1

I picked the first two:

2 - 8/ -1 - -2 = -6/ 1 = -6

The slope of the given line is - 6 as per slope-intercept form.

What is the slope of a straight line?

The linear equation y = mx + c represents the slope-intercept form of a line passing through the point (x, y).

Here, 'm' is the slope and 'c' is the y-intercept of the given line.

The slope of a line that passes through points (x₁, y₁) and (x₂, y₂) is defined as:

m = (y₂ - y₁)/(x₂ - x₁)

Therefore, the slope of a line that passes through (-2, 8) and (-1, 2) is

= (2 - 8)/[- 1 - (- 2)]

= - 6/1

= - 6

Learn more about slope of a line here: https://brainly.com/question/19035789

#SPJ3

Six friends shared 79 trading cards and kept a record of how they did it. What does 13 represent? the answers are- The number of trading cards each friend ended up with The number of trading cards left after each friend got the same amount The number of trading cards left after each friend got 10 The number of friends sharing trading cards

Answers

Answer: The number of trading cards each friend ended up with

Step-by-step explanation:

Given that:

Total Number of trading cards = 79

Number of friends = 6

Number of trading cards each friend got of shared equally :

Total Number of trading cards / number of friends

= 79 / 6

= 13.166

Highest number of cards got by each = 13

Number left : 79 - (13 * 6) = 1

Hence, 13 represents the number of trading cards each friend ended up with

-5.8 + -2.2= a positive number

Answers

Answer:

it would be negative (-8)

Step-by-step explanation:

-5.8 + -2.2 = -5.8 - 2.2

this would result in a negative number (-8)

Plz help me
Last year, 75 new houses were built in a neighborhood. So far this year, 5/8 of them have been sold. How many new houses have been sold this year? Write your answer in simplest form.

Answers

46 houses have been sold

Which of the equations shown will have infinitely many solutions? Select the TWO that apply. A 3x−1=3x+13 x minus 1 is equal to 3 x plus 1 B 2x−1=1−2x2 x minus 1 is equal to 1 minus 2 x C 3(x−1)=3x−33 times open paren x minus 1 close paren is equal to 3 x minus 3 D 2x+2=2(x+1)2 x plus 2 is equal to 2 times open paren x plus 1 close paren E 3(x−2)=2(x−3)

Answers

Answer:

Step-by-step explanation:

Am equation with infinite number of solution means that the equation has uncountable solutions.

Let's analyse each options

For the expression 3x-1 = 3x+1

Collect like terms

3x-3x = 1+1

0x = 2

Divide both sides by 0

x = 2/0

x = infinity

This shows that the expression 3x-1 = 3x+1 has infinite number of solution

Also considering the third expression

3(x-1) = 3x+3

Open the parenthesis

3x-3 = 3x+3

Collect like terms

3x-3x = 3+3

0x = 6

x = 6/0.

x = infinity

Thus also shows that expression 3(x-1) = 3x+3 has infinite number of solution.

3x-1 = 3x+1

3(x-1) = 3x+3

4(m+3)=36 what’s the value of m

Answers

Answer:

m=6

Step-by-step explanation:

4(m+3) = 36

4m + 12 = 36

4m + (12 -12) = (36 -12)

4m = 24

4m/4 = 24/4

m = 6

what is the sum of the 18 and 42 as a product of their GCF.

Answers

Answer:

The answer is 6

Step-by-step explanation:

$19.39÷12 I just need the answer asap

Answers

Answer:

$1.62

Step-by-step explanation:

(Why not use a calculator for this?)

Answer:

19.39 divided by 12 is

1.615 or 1.61583333

The prices for different lengths of ribbon sold at a fabric store are shown in the table.

Which statement BEST justifies whether or not the relationship between the length and price represents a function?

A.
This relationship does not represent a function because it relates inches and dollars.
B.
This relationship represents a function because no length of ribbon has more than one price.
C.
This relationship represents a function because the price per inch decreases as the length of ribbon increases.
D.
This relationship does not represent a function because the prices of different lengths of ribbon are all different.

Answers

Answer:

B. This relationship represents a function because no length of ribbon has more than one price.

Step-by-step explanation:

A relation is considered as a function when there is exactly just one possible range value that any of the domain value can give. In order words, each domain value of a function cannot have more than one range value.

In the given table of values representing the length and price of ribbon, the domain includes all the set of lengths of the ribbon while the range is the set of the corresponding prices the lengths can cost.

Thus, each length given has exactly just one price. No particular length has more than one price. Therefore, we can consider this as a function.

A bookstore sells textbooks for $80 each and notebooks for $4 each. Th
bookstore would like to sell $800 in merchandise by the end of the week
write a linear equation that describes the problem

Answers

Answer:

the equation is 80×9=720 20×4=80 and if you add them together you get 800

Which representations have the same rate of change of y with respect to x as the slope -0.5?
I really need help!
The last option is "All of the above"

Answers

Answer:

All of the above

Step-by-step explanation:

Am I correct, if not please explain the correct answer. ​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

No buddy you are wrong .

Look ;

(( Left table )) :

[tex] \frac{y}{x} = 6 \\ [/tex]

[tex] \frac{48}{8} = 6 \\ [/tex]

[tex] \frac{60}{10} = 6 \\ [/tex]

[tex] \frac{72}{12} = 6 \\ [/tex]

Thus it is proportional .

_________________________________

(( Right table )) :

[tex] \frac{y}{x} = \: .... \\ [/tex]

[tex] \frac{12}{6} = 2 \\ [/tex]

[tex] \frac{28}{7} = 4 \\ [/tex]

[tex] \frac{68}{8} = 8 \\ [/tex]

_________________________________

Thus the left table is proportional and

y is 6 times x in it.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

1x+2x = what?
Will mark brainiest whatever that mean

Answers

Answer:

3x

Step-by-step explanation:

Answer:

3x

Step-by-step explanation:

1+2=3

so 1X+2x=3x

Find the slope of the line passes through (1,4) and (9,1)

Answers

I think it’s -8/3 cus you subtract 1-9 and 4-1

Answer:

-0.375

Step-by-step explanation:

Way one(the harder one):

Let the line which passes through (1,4) and (9,1) be f(x)=kx+b

Sub (1,4) and (9,1) in and we get [tex]\left \{ {{4=1k+b} \atop {1=9k+b}} \right.[/tex]

=> (9k+b)-(k+b)=1-4

                   8k=-3

                     k=-3/8 or -0.375

Therefore the slope of the line is -3/8 or -0.375

Way two(the easier one):

k= [tex]\frac{change in y}{change in x}[/tex] = [tex]\frac{1-4}{9-1}[/tex] = -[tex]\frac{3}{8}[/tex]

Consider the diagram.



Lines AC and RS can best be described as

intersecting.
parallel.
perpendicular.
skew.

Answers

Answer:

Scew option D

Step-by-step explanation:

I have the same test

When lines are not parallel, and they do not intersect, such lines are said to be skewed.

Line AC and RS are skew.

From the diagram, we have two planes.

Plane x Plane y

Line AC is on plane x, while line RS is on plane y.

This means that both lines are non-coplanar

Planes x and y are not parallel;  so lines AC and RS are not parallel.

 

Using the condition of skewness stated above, we can conclude that line AC and RS are skew.

See attachment for plane x and plane y

Read more about skewness at:  

https://brainly.com/question/17822096

What is the probability he takes a yellow jellybean?

Answers

Answer: 3/20

Step-by-step explanation:

12/80 is simplified to 3/20

Answer: The answer is D

Step-by-step explanation: Add them all up and you get 80 then 12/80 divided by 4 is 3/20

It costs $7.20 for 6 large candy bars. How many candy bars can you buy for $13.20?​

Answers

Answer:

11

Step-by-step explanation:

I divided 7.20 and 6 and got 1.2 so i did 13.20 divided by 1.2 and got 11

Answer: You can buy 11 candy bars.

Step-by-step explanation:

$7.20 =6

$7.20/6 =$1.20

$13.20/$1.20=11

Alecia placed the numbers 0, 2, 14, -8, and -11 on the number line. Which of the numbers is furthest from zero?

Answers

Answer:

14

Step-by-step explanation:

Do you have a recipe that requires 1/3 cup of sugar, but you only want to make a fourth of the recipe how much sugar do you need to make this fraction of the recipe? A) 1/12 cups. B) 7/12 cups. C) 3/4 cups. D) 4/3.

Answers

Answer:

1/12

Step-by-step explanation:

i did 3x4=12 so you only need 1/12

Mr. Brooks has $14.20 in his checking account, he uses
his debit card to buy four Sonic meal deals for $4.25 each. His
bank charges him a $20 overdraft fee for insufficient funds.
What is the new balance in Mr. Brooks’ checking account?

Answers

Answer:

-$22.80.

Step-by-step explanation:

The 4 meals cost 4.25 * 4 = $17 which gives him a new balance of  

14.20 - 17 -20

= -$22.80.

HELP ASAP!!!
Select all that apply.

Which of the following statements are true of the greatest common factor of two numbers?

O Each number must share the factor.
O The number must be large.
O The greatest common factor could be 1.
O The number must be the largest factor both numbers share.

Answers

Answer:

the second answer is wrong, and the rest is all correct

Step-by-step explanation:

The GCF has to be the largest factor they share, but it's not necessary for it to be large.

Answer:

each number must share the factor.

the greatest common factor could be one.

the number must be the largest factor both share.

Step-by-step explanation:

Which number below has a value between 6.6 and 6.7?

Answers

The correct answer for this question is .1.

I need help plz someone help me plz :(

Answers

I’m sorry if this is wrong but since there are 60 minutes in an hour multiply 5•60 = 300+ 300 since there are 2 hours and if she gets a cracker each time maybe 120

Hay 323232 delanteros y 808080 defensas en la liga de baloncesto de Leo. Leo debe incluir a todos los jugadores en un equipo y quiere que cada equipo tenga el mismo número de delanteros y el mismo número de defensas. Si Leo crea el mayor número de equipos posible, ¿cuántos defensas habrá en cada equipo?

Answers

Answer:

5 defensores

Step-by-step explanation:

La pregunta correcta es la siguiente;

Hay 32 delanteros y 80 defensas en la liga de baloncesto de Leo. Leo debe incluir a todos los jugadores en un equipo y quiere que cada equipo tenga el mismo número de delanteros y el mismo número de defensas. Si Leo crea el mayor número de equipos posible, ¿cuántos defensas habrá en cada equipo?

Responda como sigue;

Ahora queremos saber el número de defensas que deberíamos tener por equipo.

La respuesta a esta pregunta es simplemente encontrar la relación entre el número de delanteros y el número de defensores.

matemáticamente,

eso sería 32:80 = 2: 5 Entonces esto significa que por cada 2 delanteros en un equipo, debería haber 5 defensores

4x+5=6x-7
How do I solve this?

Answers

Answer:

x=6

Step-by-step explanation:

4x+5=6x-7

4x-6x=-7-5

-2x=-12

x=-12/-2

x=6

Answer: x=6

Isolate the variable by dividing each side by the factors that don't contain variables

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