How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.
Answers
Answer:
Use the two ordered pairs to find the slope, m.
Then substitute one set of ordered pairs and m into y = mx + b to solve for b
Step-by-step explanation:
If we are given two ordered pairs of a function and we need to write an equation that represents the linear function, first, what we need to do is to use the two ordered pair to find the slope, m, using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
After getting the slope (m), find the value of the y-intercept (b), by substituting the value of one of the ordered pairs and the slope value (m) into y = mx + b.
Once the value of m and b is known, plug in the value of m and b into y = mx + b to derive the equation of the linear function.
Use the 2 ordered pairs to find the slope, m .
Then substitute m and one set of ordered pairs into y = mx + b to solve for b.
If given the 2 ordered pairs for a function, the ordered pairs can be first used to find the slope of the function.
For example
(x₁, y₁)(x₂, y₂)
m = slope = y₂ - y₁ / x₂ - x₁
The slope(m) is then substituted in the slope intercept form equation.
y = mx + b
where
m = slope
b = y-intercept
And one set of the ordered pairs is also substituted in the equation to get the value of the y-intercept(b).
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Related Questions
Mrs. Smith spent $67.40 on groceries. The tax rate is 2%. What is the amount of sales tax?
Answers
Answer:
68.75
Step-by-step explanation:
to find the tax you multiply the total by the tax percentage 67.40 x .02 = 1.35
so the total for just tax is 1.35 so you add that to how much the groceries were originally
67.40+1.35=68.75
Solve the system.
y=6x-1
y=3x-4
The solution is _____
.
Explain your choice of method.
Answers
Answer:
(-1, -7)
Step-by-step explanation:
Solve by graphing.
Graph the two equations together.
The lines intercept at (-1, -7).
Hope this helps.
Answer:
Solution: (-1, -7)
Step-by-step explanation:
6x - 1 = 3x - 4
Subtract 3x from both sides;
3x - 1 = -4
Add 1 to both sides;
3x = -3
Divide both sides by 3;
x = -1
Substitute x into the equation;
y = 3(-1) - 4
y = -3 - 4
y = -7
What is the difference of 104 - 2.84?
O 100.31
O 100.56
O 101.16
O 102.16
Answers
Find the distance between the points (6,7) and ( – 3, – 5)
Answers
Answer:
(9,12)
Step-by-step explanation:
Can u help me with my math
Answers
Answer:
B=310 because..well just do the math.
Step-by-step explanation:
Please help me brainlessly
Answers
Which of the following pairs of points are on the same horizontal line?
A(–2, –2) and (2, 2)
B(–2, 2) and (–2, –2)
C(–2, –2) and (2, –2)
D(2, –2) and (2, 2)
Answers
Answer:
d answer is right .....
the answer is A.
(-2, -2) and (2,2)
Sas a ribbon that is 5/6 yard long. She cuts off 3/5 of that ribbon and uses it to tie her hair back. She gives the rest to her sister. How much of the original ribbon did she give to her sister?
Answers
Answer:
7/30
Step-by-step explanation:
5/6 = 25/30 3/5 = 18/30
25/30 - 18/30 = 7/30
Sas gives 7/30 of the ribbon to her sister.
Hope this helps! :3
An employee put $5,000.00 in a retirement account that offers 9% interest compounded annually. The employee makes no additional deposits or withdrawals. Which amount is closest to the interest the employee will have earned at the end of 5 years?
Answers
D) $2693.12
Step-by-step explanation:
The account balance is multiplied by 1.09 each year, so at the end of 5 years, it has been multiplied by 1.53862395....
After subtracting the initial deposit amount, the remainder is the interest earned:
... $5000×(1.53862395 -1) = $5000×0.53862395 ≈ $2693.12
Answer:
the answer would be $2693.12
Step-by-step explanation:
42 students are going on a field trip. The students are divided into groups of four Students. How many groups of four will there be. If the remaining studentsform a smaller group, and one chaparone is assigned to every group,how many total chaparones are needed
Answers
Answer:
Step-by-step explanation:
if we have 42 students which are divided in group of 4 we will have
42/4=10 groups and 2 students left
if we would have a group out of 3 students, we will have 14 groups and 14 chaperones
a group will have 3 students and one chaperone
42 students and 14 chaperones
Solve for x in the equation below.
(x - 2) = - 1/4 (x – 8)
Select the correct answer.
A x = 0
B. x = - 5 1/3
C x = - 3 1/5
D. x = 3 1/5
Answers
Explain How To Find The Volume Of Any Rectangler Prism
Btw 20 points
Answers
Answer:
multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Have a great day luv!
-Ary
Answer:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
what is the f(5) for the function f(x)=3x+6
Answers
Answer:
21
Step-by-step explanation:
[tex]f(x)=3x+6 \\ \\ plug \: x = 5 \\ \\ f(5)=3(5)+6 \\ \\ f(5)=15+6 \\ \\ f(5)=21[/tex]
Pavel hiked 6 miles on a camping trip. He hiked 3 times as many miles on his next camping trip. How many miles did Pavel hike altogether on the two trips? Part 1: True or False: The equation below can be used to find the answer.
Answers
Where’s the equation below?
Answer:
24 miles
Step-by-step explanation:
Alright so 6 miles times 3 miles is 18, so 18 miles plus 6 miles is 24 miles so 24 miles all together.
How much are these coins worth?
Answers
Answer:
$1.97
Step-by-step explanation:
carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?
Answers
Answer:
24 pies
Step-by-step explanation:
Let x represent the number of pies and set up an equation:
6x = 3.75x + 54
Solve for x:
6x = 3.75x + 54
2.25x = 54
x = 24
So, Carrie and Joel have to sell 24 pies to break even
4. (03.02) Factor completely x2 - 9x + 20. (1 point)
Answers
Answer:
(x-4)(x-5)
Step-by-step explanation:
x² - 9x + 20
x²-4x-5x+20
x(x-4)-5(x-4)
(x-4)(x-5)
Answer:
Hope it can help you and please mark me as a brainlist..
if a student answer 67 exam questions correctly out of 100,what fraction and what personage of question did the students answers incorrectly.
A. 67/100
B.67%
C. 0.67
D. 30/100
E. 33 %
F. 33/100
Answers
Answer:
A and D
Step-by-step explanation:
67 right out of 100 for the fraction and 67/100 = 67%
MARKING POEPLE AS BRIANLIST ALL DAY if you answer the question and it is right thank u
Answers
Answer: AAS that's what it should be
Step-by-step explanation:
Which point in the coordinate plane represents the number 7+5i in the complex plane?
Answers
Answer:
Pythagoras:
ρ
=
√
7
2
+
(
−
5
)
2
=
√
49
+
25
=
8.6
What is three hundred forty two thousandths in decimal form?
Answers
Answer:
C
Step-by-step explanation:
it says thousandths and a number group with a th at the end is on the right of the decimal.
Answer:
C: 0.342
Step-by-step explanation:
Here's how it works:
.(tenth)(hundredth)(thousandth)
Therefore,
"Three hundred forty-two thousandths" is 0.342.
The senior class at James High School is planning a trip to Orlando, Florida. The total cost for each student is $192.47. A local agency made a donation of $948.00. The money will be divided equally between the 24 seniors who are going. The senior class president, Ashley, has already saved $62.00. How much more must she earn to cover her cost of the trip?
Answers
Answer:
yyyyyyyyyy i neeed help to
Step-by-step explanation:
Answer:
it is. 90.97 option A
Martha compro 4kg de tomate y 2kg de frijol y pago con $130. Su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol. ¿Cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol
Answers
Answer:
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso es necesario plantear un sistema de ecuaciones. Entonces, en primer lugar es necesario plantear las variables:
x: precio de 1 kg de tomate.y: precio de 1 kg de frijol.Martha compró 4kg de tomate y 2kg de frijol y pago con $130. Esto se expresa mediante la ecuación: 4*x + 2*y= 130
El hermano de Martha pagó $85 por la compra de 1kg de tomate y 3kg de frijol. Esto se expresa como: x+3*y=85
Entonces, el sistema de ecuaciones a resolver es:
[tex]\left \{ {{4*x+2*y=130} \atop {x+3*y=85}} \right.[/tex]
Existen varios métodos para resolver un sistema de ecuaciones, siendo uno de ellos el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculas el valor de x sustituyendo el valor de y ya conocido.
En este caso, en primer lugar despejas x de la segunda ecuación:
x= 85 -3*y
Reemplazando en la primer ecuación:
4*(85-3*y) +2*y=130
y resolviendo obtienes:
4*85 -4*3*y + 2*y=130
340 - 12*y + 2*y=130
-12*y + 2*y=130-340
-10*y=-210
y=(-210)÷(-10)
y=21
Reemplazando en la expresión obtenida anteriormente, x= 85 -3*y, se obtiene:
x=85 - 3*21
x=85 - 63
x=22
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
Dado que Martha compro 4kg de tomate y 2kg de frijol y pago con $130, mientras que su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol, para determinar cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol se debe realizar el siguiente cálculo:
4T + 2F = 130T + 3F = 85T = 85 - 3F4 x (85 - 3F) + 2F = 130340 - 12F + 2F = 130-10F = 130 - 340-10F = -210F = -210 / -10F = 21T + 3 x 21 = 85T = 85 - 63T = 22Por lo tanto, para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
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The length of a rectangle is 4 more than the width. If the perimeter is 36 inches, what’s the width and length of the rectangle?
Answers
Answer:
7 inches
Step-by-step explanation:
Answer:
The width and the length of the rectangle is...
Step-by-step explanation:
If we are looking at the total Perimeter of the rectangle, which is 36 inches, then we have to take in the information of the '4 more than the width'. so we need to think of the numbers that would make sense in this scenario. the formula to solve this would be:
w + (l + 4 ) x 2 = 36
So we would need to look at the different scenarios that don't go over 18.
if the width = 7
and the length = 11
7 + 11 = 18
18 x 2 = 36.
help
ques starts frm a rectangular garden
Answers
Answer:
this is the full solution of your question
Write the equation
(0,5)
(2.0)
Answers
There are 5 roses for every 9 carnations in a bouquet. Mr.Rodriguez buys a bouquet with 42 flowers in it. How many carnations are in the bouquet Mr.Rodriguez bought?
Answers
Answer:
I think its eight but I could be wrong
Answer:
27
Step-by-step explanation:
i dont know how to describe what i did but it is correct
Write the equation in standard form ax + by = 0
y=2x+5
Answers
Answer:
2x + 1y = 5
Step-by-step explanation:
You don't need to type the 1 because all ones are invisible in algebra.
Bob is driving home from his vacation to see the Grand Canyon. When he stops to check his map, he notices that he is 320 miles from home. He calculates that he should be able to cover 60 miles of road each hour on his journey home.
Dependent variable:
Independent variable:
Function notation:
Answers
Answer:
Whats the question
Step-by-step explanation:
i think the independent variable is the miles from home
the dependent is the miles per hour
The price of a smartphone increased from $25 to $40. Find the percent
increase
Answers
Answer:60% increase
Source:trust me bro
Answer:
= 60% increase
Step-by-step explanation: