1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dima020 [189]
2 years ago
14

A line passes through the points (2,21) and (8,27). Write a linear function rule in terms of x and y for

Mathematics
2 answers:
tatiyna2 years ago
6 0
We have two points so we can find the gradient using y1-y2/x1-x2
gradient = 21-27/2-8
= 1
we know the form for any linear equation is y = mx + c
we have m and a point so we can substitute in point (2,21) to find c
21 = 1 x 2 + c
c = 19
therefore, the equation is y = x + 19
luda_lava [24]2 years ago
4 0
Y = x + 19


Slope(m) formula: y2 - y1 / x2 - x1
y2 - y1 / x2 - x1 = 27 - 21 / 8 - 2 = 6 / 6 = 1

y = mx + b
y = 1x + b or y = x + b (the one is usually invisible)

Now, we use either one of our points to find b. I will be using (2, 21).

y = x + b
21 = 2 + b
- 2 - 2
19 = b

y = x + b -> y = x + 19


Check your answer using either one of the points.

y = x + 19
21 = 2 + 19
21 = 21
This statement is correct


y = x + 19
27 = 8 + 19
27 = 27
This statement is correct

Therefore, our equation is: y = x + 19



Hope this helps!
You might be interested in
A shopkeeper bought wheat for rs.35000. Due to leakage in the godown 1/7 of the total wheat was spoiled. He sold the good wheat
sladkih [1.3K]
<h2>Question: </h2>

A shopkeeper bought wheat for rs.35000. Due to leakage in the godown 1/7 of the total wheat was spoiled. He sold the good wheat at a gain of 10% and the spoiled when at a loss of 25%. Find his total gain or loss per cent.

Answer:

<h2>5%</h2>

<h2>step by step answer:</h2>

In the question we are given a shopkeeper or bought wheat for Rs. 35000. Now, due to leakage 17 of the total wheat is spoiled. Now, he sold the good wheat at 10% gain and the bad wheat at 25% loss. We need to find the total gain/loss percent.

According to the problem, the total cost of wheat is Rs. 35000.

Now, let us find the cost price of the spoiled wheat.

So, the cost of spoiled wheat is 17×Rs35000 which is equal to Rs. 5000.

Hence, the cost price of spoiled wheat is Rs 5000.

As we know that the spoiled wheat was sold at 25% loss, so we can say that if the cost price is considered as 100% so the selling price is considered as (100−25)% or 75%.

So, we got the selling price of spoiled wheat is 75100×5000=Rs3750

So, the cost price of spoiled wheat is Rs.5000 and selling price of spoiled wheat is Rs.3750.

Now, let us find the cost price of the good wheat.

Now, we will consider the good quality of wheat whose cost price is Rs(35000−5000) which is Rs. 30000.

Hence, the cost price is Rs. 30000.

As we know good quality wheat was sold at 10% gain so we can say that, if the cost price is 100% then the selling price will be (100+10)% or 110% .

Hence, the selling price of good quality wheat is 110100×Rs30000 which is Rs. 33000.

So, the cost price of good quality wheat is Rs. 30000 and selling price is Rs. 33000.

Let us find the total selling price of the wheat that the shopkeeper bought.

Now the total selling price of the wheat is Rs.3750+Rs.30000=Rs.36750.

Hence Profit = Total selling price − Total cost price

profit =Rs.36750−Rs.35000

=Rs.1750

profit %

=profitcost price×100%.

=175035000×100%.

=5%.

<h2>So, total profit is 5%.</h2>
6 0
2 years ago
Read 2 more answers
californias highest point, Mt. Whitney, stands 14,505 ft. above sea level. California's lowest point, Death Valley, is 282 ft. b
Vanyuwa [196]
Difference means subtraction 14,505-282=14,223ft
4 0
2 years ago
1.12cm=______mm <br><br> 2.124mm=_______cm<br><br> 3.2cm=________mm<br><br> 4.7mm=_______cm
sashaice [31]

Answer:

1. 11.2 mm

2. 0.2124cm

3. 32mm

4. 4.7cm

8 0
3 years ago
5 is what type of number (
mafiozo [28]
The value 5 is a natural number.

Technically, 5 is all of the above, but classifying it as a natural number means that it is rational and an integer(aka whole number).
6 0
3 years ago
How can I describe an angles measure
Yanka [14]
The question is too general....but it could be acute, obtuse
3 0
3 years ago
Other questions:
  • Solve the absolute value equation |x| − 2 = 5 to find the distance Mary can walk forward, x, in 5 seconds.
    11·1 answer
  • The difference between the square roots of a number is 30. What is the number?
    14·1 answer
  • What is the quotient of 6 divided by 3/4
    8·2 answers
  • 9. What is the difference between an isometric transformation and one that is not isometric? Provide examples to illustrate at l
    13·1 answer
  • Evangeline is making snack bags for her class. If she can fill 5/8 of her snack bags with 1 2/3 cups of pretzels, how many cups
    6·1 answer
  • Plzzzzz help asappppppp
    9·1 answer
  • 3.14x(3x5)+34 hjghjhg
    11·2 answers
  • 1. The band must eam at least $75 for a trip. Band members
    14·2 answers
  • Someone please helpp
    13·1 answer
  • Who was mathematician Pythagoras ?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!