Write the equation of the line that passes through the given points.
(1,2.5) and (0,6.5)

Answers

Answer 1

let's change the decials first off to fractions and get the slope and line

[tex]2.\underline{5}\implies \cfrac{25}{1\underline{0}}\implies \cfrac{5}{2}~\hfill 6.\underline{5}\implies \cfrac{65}{1\underline{0}}\implies \cfrac{13}{2} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{\frac{5}{2}})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{13}{2}})[/tex]

[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{13}{2}}-\stackrel{y1}{\frac{5}{2}}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{1}}}\implies \cfrac{~~ \frac{8}{2}~~}{-1}\implies \cfrac{4}{-1}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{-4}(x-\stackrel{x_1}{1})[/tex]

[tex]y-\cfrac{5}{2}=-4x+4\implies y=-4x+4+\cfrac{5}{2}\implies y = -4x+\cfrac{13}{2}[/tex]


Related Questions

James made $85.00 in 2 weeks mowing yards. He spent 20% of that buying new tools. How much did he spend on tools? *
10 points
A $15
B $20
C $17
D $14
Answer asap please!

Answers

Answer: c 17

Step-by-step explanation:

Easy

Answer:

C. $17

Step-by-step explanation:

85 x (1/5) = 17

(10 points!!!) AND I’LL MAKE YOU BRAINLEST

I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!

The answer is ( Jose, $901.31 more)

Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?


Use the table to answer:

Answers

Well I’m not sure if I know how explain this mathematically but what I think happens is Josè is putting 150 dollars in and earning 3% interest quarterly instead of by the year, meaning his money is increasing more often then Janell, who only gets interest every year. I’m sorry if this isn’t what you were looking for

Plss answer I give you branlistb​

Answers

1) 30
2) 132
3) 1
4) 4
5) 12

itements are true.
Choose all answers that apply:
The equation represents a proportional relationship.
B
The unit rate of change of y with respect to z is 1.4.
o
5
The slope of the line is
7
50
A change of 2 units in I results in a change of 2.8 units in y.
-pts
A change of 3 units in a results in a change of 1.2 units in y.

Answers

All the statements that are true as regards the proportional relationship of the graph are;

A. The equation represents a proportional relationship

B. The unit rate of change of y with respect to x is 1.4

C.  The slope of the line is 7/5

D. A change of 2 units in x results in a change of 2.8 units in y

What is the proportional relationship of the graph?

The slope intercept form of the equation of a straight line is;

y = mx + b

where;

m is the slope.

b is the y-intercept.

Since the equation is given as y = 1.4x, then the slope is 1.4 and the y-intercept is 0.

A. The equation represents a proportional relationship;

This is true since the equation because y is always 1.4 times as large as x from the given equation relationship.

B. The unit rate of change of y with respect to x is 1.4;

This is true because when we divide both sides by 1.4, we will get;

y/x = 1.4

C.  The slope of the line is 7/5;

This means that the slope is 7/5 = 1.4. This is same as the slope given and it is true.

D. A change of 2 units in x results in a change of 2.8 units in y;

This means that the slope is 2.8/2 = 1.4. This is same as the slope given and it is true.

E.  A change of 3 units in a results in a change of 1.2 units in y;

This means that slope = 1.2/3

This is not equal to our given slope and so is not true.

Read more about Graph proportional relationship at; https://brainly.com/question/12242745

#SPJ1

If p and q vary inversely and p is 15 when q is 17, determine q when p is equal to 51

Answers

Step-by-step explanation:

q is inversely to p and we need to add k as the constant..

then find value of k by sub the value of p and q

after that sub the value of k and p to find q

Helppppp Pleaseeeeeee

Answers

Answer:

what is the question

Step-by-step explanation:

A casserole recipes calls for 4 ounces of cheese. Emerson wants to use half of the amount of cheese in his casseroles. How many pounds of cheese will he need to make 28 casseroles with his revised recipe?

Answers

Answer:

Step-by-step

4 oz = 1/4 pound.

1 casserole requires 1/4 pound

28 casseroles require x

1/28 = 1/4 // x        For ease change 1/4 to a decimal

1/28 = 0.25 / x      Cross multiply

1*x = 28 * 0.25

x = 7

We need 7 pounds of cheese to make 28 dishes.

What is John and Linda paid each hour

Answers

This question is out of context
Where is the equation or question?

Are the triangles congruent! (Help)

Answers

No
For the two triangles to be congruent their corresponding angles should be equal.
Here they have different angles i.e. their corresponding angels are not equal
therefore they are not congruent

The method of substitution is likely the best method for which system?

−8x−2y=18x−2y=5


2x+y=103x+2y=5


5x−2y=32x+2y=1


−3x+2y=93x−5y=4

Answers

Answer:

simultaneous equation

HELP ME PLEASE!!!!!!!!!!!

Answers

Answer:

SAS theorem >This is the correct

Answer:

SSS theorem

Step-by-step explanation:

[tex] \huge\colorbox{pink}{hope \: its \: help}[/tex]

What is an equation for the perpendicular bisector of the line segment joining (1,2) and (-5,12)? Write your equation in point-slope form, standard form, or slope-intercept form.

Answers

Answer:

Step-by-step explanation:y = 0.6x + 8.2

Convert 244 16 to decimal:

Answers

Answer:

15.25 is your answer

Step-by-step explanation:

Answer:

I know it’s already been answered but I got 15.25

Step-by-step explanation:

A statue in a harbor is approximately 295 feet tall. If the angle of the elevation of a ship to the top of the statue is 21.7 degrees, how far is the ship from the statue’s base?

Answers

Answer:

741.3 feet if rounding to the nearest tenth

Step-by-step explanation:

You will do 295/tan21.7 which gives you approximately 741.3 feet

how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?

ASAP!!! PLS

Answers

Answer:

22.5

Step-by-step explanation:

50%of5+20%=22.5

50/100×5=2.5

2.5+20=22.5%

Answer:

3 gallons

Step-by-step explanation:

10=100 percent

10/5 =2

5-2=3

3 gallons

(10 points!!!) AND I’LL GIVE YOU BRAINLIEST IF CORRECT


I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!

The answer is ( Jose, $901.31 more)

Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?

Use the table to answer:

Answers

Answer:

2%

Step-by-step explanation:

Which expression represents Sushmila's total cost for the supplies 3p-5+2s
3p+2(s-5)
3(p-5+2s)
3(p-5)+2s

Answers

Answer: its a

Step-by-step explanation: its the same answer

Answer: the answer is 3(p - 5) + 2s

Step-by-step explanation:

its the only answer there that makes since and hope this helps im kinda bad at algebra but this was easy

What is the scale factor for the dilation of triangle ABC
to produce triangle A'B'C'?
A. 0.25
B. 0.5
C. 2
D. 3

What is the scale factor for the dilation of triangle ABC
to produce triangle A"B"C?
A. 0.25
B. 0.5
C. 2
D. 3

Answers

Answer:

1) B 0.5

2) C 2

Step-by-step explanation:

point A (-2, 2) (0.5) = (-1, 1) A'

point B (-2, -1) (0.5) = (-1, -0.5) B'

point C (3, -1) (0.5) = (1.5, -0.5) B'

point A (-2, 2) (2) = (-4, 4) A'

point B (-2, -1) (2) = (-4, -2) B'

point C (3, -1) (2) = (6, -2) B'

Magnesium has a charge of +2, and chlorine has a charge of –1. To form a chemical bond, how many magnesium ion(s) would the compound have?

A) 0
B) 1
C) 2
D) 3

Answers

In a chemical bond, the charges are balanced - neutral. This means that if we have a charge of +2 we will need a charge of -2 to cancel it out.

This means we need 1 magnesium ion and 2 chlorine ions.

Answer: B) 1

Hope this helps!

What would you do if you found out that you wrote a cheque of $78 but it was recorded as $98 in check register?

Answers

Step-by-step explanation:

I'll go to the cashier and says it's wrong cheque

Fill in the blank with a number to make the expression a perfect square.

y^2 + 6y + ?

Answers

Answer:

(y+3)^2 - 9

Step-by-step explanation:

15 mm 4 mm 3 mm what is the surface area of the prism

Answers

Answer:

234 millimeters^2 is the answer

Step-by-step explanation:

If P(t) is the size of a population at time t, which of the following differential equations describes linear growth in the size of the population?

dPdt=200
Answer A: d cap p over d t is equal to 200
A

dPdt=200t
Answer B: d cap p over d t is equal to 200 t
B

dPdt=100t2
Answer C: d cap p over d t is equal to 100 t squared
C

dPdt=200P
Answer D: d cap p over d t is equal to 200 cap p
D

dPdt=100P2

Answers

Answer:

A. dP/dt = 200

The degree of the variable must be one for linear growth. Then the correct option is B.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

If P(t) is the size of a population at time t.

The differential equations have a linear growth in the size of the population. That means the degree of the variable must be one. And the equation of the population will be quadratic. That is given as

[tex]\rm \dfrac{dP}{dt} = 200t[/tex]

In this equation, the degree of the time (t) is one.

Thus, the correct option is B.

More about the differentiation link is given below.

https://brainly.com/question/24062595

explain how to use a graph of the function f(x) to find f(3)

Answers

Answer:

See below

Step-by-step explanation:

What f(3) means is the value of f(x), or "y", when x=3. So, you would go 3 to the right on the x-axis, and then you would go up or down the y-axis until you touch the graph of the function. That will be where f(3) is.

Given a graph of the function f(x), find 3 on the X axis and then look directly up or down from there to find the Y coordinate of the function at that value of X.

f(3) is equal to Y at x=3.

Can you help please?

Answers

Answer:

Step-by-step explanation:

Whats the answer to 2 1/6 + 3 4/9?

Answers

Answer:

4.61

did that help??

Step-by-step explanation:

[tex]2 \dfrac 16 + 3 \dfrac 49 \\\\\\= 2 + \dfrac 16 + 3+ \dfrac 49\\\\\\ = 5+\dfrac{11}{18}= 5 \dfrac{11}{18}[/tex]

Find the solution to the system of equations.
You can use the interactive graph below to find the solution
- 72 - 2y = 14
ALE
са
6x + 6y = 18
AS
y =
JO
y
7
AS
6
5
4
3
2
Со
+2
1 2 3 4 5 6 7
-7-6-5-4-3-2
SA
Pro
Do noble

Answers

9514 1404 393

Answer:

x = -4y = 7

Step-by-step explanation:

It looks like your interactive graphing tool needs you to plot some points on each of the lines. For these lines, it is convenient to use the x- and y-intercepts. Each intercept can be found by dividing the constant by the coefficient of the variable.

-7x -2y = 14

The x-intercept is 14/-7 = -2. Plot (-2, 0) on the x-axis.

The y-intercept is 14/-2 = -7. Plot (0, -7) on the y-axis.

6x +6y = 18

The x-intercept is 18/6 = 3. Plot (3, 0) on the x-axis.

The y-intercept is 18/6 = 3. Plot (0, 3) on the y-axis.

__

The point of intersection of the two lines is the solution: (x, y) = (-4, 7).

The angle measure of a triangle is shown in the diagram.
what is the value of x?
A. 13
B. 20
C. 5
D. 12

Answers

To find X it is a degree value.
All of the angles in this triangle add to give 180 degrees.

So set the sum of every angle = 180
180 = 95 + 3x+4 + 4X-3

To solve this you want x by itself so bring 95 to the other side by subtracting it. Add the 3x and 4X. Add 4 and -3.
85 = 7x + 1

Subtract the 1 to isolate x
84 = 7x

Divide by 7
X = 84/7

To see if it is A, B, C, D plug in the value and see if it adds up to 180

Help me with questions please​

Answers

Answer:

530.93 OR 530.9

Step-by-step explanation:

Since we know what the radius is 13 we replace R with 13 in the formula form area of a circle. area = [tex]\pi 13^{2}[/tex]

So now we multiply 13 squared or 13 x 13 which equals 169

Now we multiply pi and 169 which gives us 530.929 depending on what number you should round to give  us our answer.

530.93

530.9

elijan un lugar de su escuela o de su localidad y elaboren un croquis a escala muestren su trabajo a la clase e indiquen que escala utilizaron

Answers

Answer:

pls ask the question in english pls i don't understand it

Other Questions
1) Which example shows a change in a stateof matter?A. Liquid pouring2B. Wood Burning1C. Ice Melting if f(x)=x/2-2 and g(x)2x^2+z-3, find (f+g)(x) the dog is black, big and has lots of hair as a parellel sentence Given right triangle ABC, where side "c" is thehypotenuse, angle B measures 44 degrees, and sidec measures 17 m, find the length of side b.Round your answer to the nearest hundredth of meter 4. What does the speaker most likely learn as a result of tattling on his sister?O to avoid speaking of pork around his fatherO that loyalty to one's family is a moral imperativeO the importance of timing and thinking before speakingO that the truth must always be revealed despite the costs HELP ME OUT PLEASE! How many total atoms of Nitrogen are shown in the formula below?O 2O 4O 6O 8 Bumuo ng maikling tula about sa pagkakilala Kay Jesus which choice is an element? Air, oxygen, water, or sodium cholride Identify three Changing Roles For Women that occurred During the Roaring 20s Based on this excerpt, which feeling is Roosevelt conveying regarding assistance for American allies?A. urgencyB. sacrificeC. patriotismD. caution Ellos __________ (llegar) a la escuela tarde ayer. El fin de semana pasado mi hermano y yo __________ (comprar) un regalo para mi pap porque el domingo es el Da del Padre.Yo ___ una buena cena.(preparar)Yo _________ (comer) arroz y frijoles hace dos das.__________ (Ver) Uds. aquel letreo? Hay una gran liquidacin hoy en esa tienda.Finalmente, nosotros ____________ (escoger) una cartera de cuero. The Yuan dynasty oversaw a wide exchange of culture,knowledge,and goods in Asia. Kublai Khans Conquest Won a civil war with his brother to become the Great Khan Declared ____ dynasty Used siege warfare to conquer Sung dynasty Life in the Yuan Dynasty Blended practices Had Confucian influence Used _____ social classes,with Chinese at the bottom Valued _____ and artisans Silk Road Trade Exchanged goods,ideas,and ____ Built roads,bridges,canals,and waystations PLEASE HELP FASTLOTS OF POINTSBEST ANSWER WILL BE MARKED BRAINLIEST!!!!! Thank you!!The energy released from the complete oxidation of glucose under standard conditions is 686 kcal/mol. The energyreleased from the hydrolysis of ATP to ADP and inorganic phosphate under standard conditions is 7.3 kcal/mol.Using the equation for cellular respiration from question 1, calculate the efficiency of total ATP production from 1mole of glucose in the organism. change the sentences into diresct speech1)Boss asked his subordinate angrily who to be blamed for the loss caused to his business. 75=2. Prove ItBased on Critical Thinking and Reasoning. Not normal mathematics. What is the main drawback to a commission form of government? nonsmokers are less likely to become depressed and get divorced. what type of research finding is this, and what explanations might it have? Venus and Earth are nearly the same size and distance from the Sun. What are the main differences in the geology of the two planets In arbitration, what do leaders of the labor union and the representatives of company management agree to? Find the length of the diagonal in rectangle using image 3353