All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4,5)
(2, 2)
1. Find the slope of the line. Explain or show your reasoning,
2. Write an equation for the line.
3. Find the values for a and b. Explain or show your reasoning
4. What is the y-coordinate when x = 0? Explain or show your reasoning.
Answer:
Did you ever get the answers??
The equation of the line is y = 2x - 2.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
The graph of the line is given.
(1)
The line passes through points (2,2) and (6,10).
The slope of the line is:
m = (10 - 2)/(6 - 2)
m = 8/4
m = 2
(2)
The equation of the line with a slope of m =2 and passes through (2,2) is:
y - 2 = 2(x - 2)
y = 2x - 4 + 2
y = 2x - 2 (1)
(3)
The line passes through points (4,b) and (a,8), therefore, from equation (1):
b = 2(4) - 2
b = 6, and
8 = 2a - 2
2a = 10
a = 5
(4)
Substitute x = 0 into equation (1):
y = 2(0) - 2
y = -2
Hence, the equation of the line is y = 2x - 2.
Learn more about the point-slope form of a line:
https://brainly.com/question/29503162
#SPJ5
What was one major result of the French and Indian War?
Answer:
The answer is above and please do not post history question is the math section
Step-by-step explanation:
Britain was the biggest winner in the seven Years' War. France was forced to cede the whole of Canada to Britain in the Peace of Paris, and withdrew from the whole of India, leaving only five towns. Britain became the overlord of overseas colonies and became the legend of an empire where the sun never set. But Britain shifted the costs of the Great Imperial War (the French-Indian War) to the north American colonies, causing resentment among the inhabitants. Thirteen years after the end of the Seven Years' War, the American Revolution broke out.
The Peace of Paris became one of the most humiliating events of the French monarchy. France abandoned India, Canada, And French Louisiana. France's foreign policy has failed miserably and its popularity has fallen markedly.
Austria was again defeated by Prussia after the last War of the Austrian succession and the second Silesian War. Maria Teresa later became hostile to Catherine the Great and Frederick II, and in her later years she sought to carve up Poland in order to compensate for the loss of Silesia.
Russia consolidated its power in eastern Europe during the Seven Years' War. The Russian Tsar's defection in the latter part of the war drew much criticism from Austria and France, but won the friendship of Prussia. Empress Catherine dethroned the faithless tsar and became empress herself. And more westward, eager to carve up Poland. Russian general Rumyantsev also gained fame during the war.
It was the defection of Russia's tsar to Prussia at the end of the war that saved Silesia and made him a "military genius" and a "great emperor". But all his life, Prussia rose, not the Great power of Europe on a par with Britain, France and Russia. It is only slightly stronger than Sweden and Spain, middle power, better known as -- "half power". And the great war had left the kingdom in ruins, but after the war Frederick devoted himself to restoring peace and economic stability to Prussia. As Britain left the Prussian army alone in the Seven Years' War, it had to deal with three countries (France, Austria and Russia), and the whole country was filled with resentment against Britain. Then came the American revolution, and Prussia, intentionally or not, sided with the Americans and sent military observers to observe the war between the United States and Britain. It wasn't until Bismarck came along that Prussia became truly powerful.
9x-7= -7
solve for x
Answer:
-2
Step-by-step explanation:
I Just want to know the difference in between graphing in two different ways...
Just, can someone tell me the difference between these if you can see how different they are? My subject is the Systems of Inequalities
Answer:
It's simple.
Step-by-step explanation:
Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.
*extra points* evaluate [tex]\sqrt[3]{2744}[/tex]
Answer:
14
Step-by-step explanation:
how do outputs and inputs and functions work?
Answer:
nvm someone answered
Step-by-step explanation:
PLS HELP ME ;;;-;;;
I have the answer all I need is to show the work so pls help me with that
Find the value of X.
Answer:
X=11
Step-by-step explanation:
9x+6= (3x+2)+(70)
Simplify: 6x+6=72
6x+6=72
6x=66
x=11
What is the exchange rate for converting British pounds (GBP) to Australian dollars (AUD)? Answer and get 50 dollars on cashapp, FIRST COME FIRST SERVER
1 Pound is equal to 1.81 Australian Dollars
1 Pound sterling equals 1.81 Australian Dollar
Ninety percent of the ninth grade students at Richbartville High School take algebra. If 180 ninth
grade students take algebra, how many ninth grade students do not take algebra?
Someone help pleaseee!! this is do very very soon thank you!
Answer:
200
Step-by-step explanation:
Is the following relation a function? Yes or no
Answer:
It is a many-to-many function but not a one-to-ine function hence, it cannot be represented a a function in an expression
Step-by-step explanation:
Topic: Functions
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer: No
Explanation: I think that the least confusing way to do
this problem is to first write down the ordered pairs that
are represented by this mapping diagram.
So we have {(6,3), (-1, 2), (-1, -1), (4, 3)}.
In order for a relation to be a function, each x-coordinate needs
to appear once unless we have a repeated ordered pair.
Since we have the same x-coordinate in two of
our ordered pairs, this relation cannot be a function.
In terms of the mapping diagram, you can see that we have
an x that is paired with two different y's.
So this does not fit the definition of a function which states
that each x must be paired with exactly one y.
geometry help needed
dropbox one: A, B, C, D
dropbox two: A, B, C, D
Answer: a and c
Step-by-step explanation: bc
Answer:
what do you mean Dropbox A,B,C,D ?
hi, Ryan and Abby I kinda need ur help :)
Answer:
6, 7, 63, 6, 7, 63, 130.9
Jut pit those numbers in the blanks
Answer:
63
Step-by-step explanation:
You have to multiply 10.5 by 6 and you get 63 then add that to 9.7 multipled by 7 and you get 130.9. Then subtract that by 67.9 and you get 63 to check add 63 to 67.9 and you get 130.9 so thereof the answer is 63.
5.3.4
Journal:Two-Variable Systems:
2. Do you agree that your classmate set up the equations correctly? Explain why or why not. (2
points: 1 point for yes/no answer, 1 for explanation)
Answer: Yes, the equations are correct.
x represents the time that one individual act takes.
y represents the time that one group act takes.
Step-by-step explanation:
the first statement says:
"The first show will last 2 hours, and 12 individual acts, and 6 group acts"
He writes this as:
12*x + 6*y = 120.
then x represents the time that individual acts take.
6 represents the time that group acts take.
120 represents the time in minutes (120 min = 2 hours).
The second statement says:
"The final show will last 30 minutes, and it will include the top 4 individual groups, and the top group act."
this is written as:
4*x + 1*y = 30
And it is consistent with the thing we saw above.
At the right, we have time in minutes, 30 minutes.
x represents the time that each individual act needs, and in this case, we have 4 individual acts.
and y represents the time that the group acts need, and we have only one group act in this case.
Then yes, you must agree with your classmate.
Paul is buying lunch from a fast-food restaurant. He has 5 sandwiches, 7 sides, and 10 drinks to choose from. If Paul doesn’t want two of the sandwiches, how many possibilities for lunch can he have?
Answer:
He has 5 sandwiches, 7 sides, and 10 drinks to choose from
Step-by-step explanation:
Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register. Write an addition equation to represent Jackson's net change in money. Enter your answer as an addition equation, formatted like this: 42+(-53)=-11
Answer:
x + (-y) = 4.63
Step-by-step explanation:
Given that :
change received = 4.63
Net change in money :
Let initial amount before purchase = x
Cost of item purchased = y (negative as it is incurred)
Net change in money:
Initial amount + cost of item purchased = change received
x + (-y) = 4.63
Combining like terms of 10x - 3+ 11 - 2x + 3x, simplifies the expression to
Answer:
-9x+8
Step-by-step explanation:
15x - 3+11 should be the answer
Aa liner equation in two variables, x and y, is an equation that can be written in the form ____, where m and b are constants.
Answer:
a linear equation normally looks like y = mx + b, where m and b are constants, x is the independent variable, y is the dependent variable.
Step-by-step explanation:
Solve the following equation for A. Be sure to take into account whether a
letter is capitalized or not.
d - 4h = 30A
Step-by-step explanation:
d - 4h = 30A
A = (d-4h)/30
Topic: Algebraic equations + change of subject
If you like to venture further, please give my Instagram page a follow (learntionary). I'll be constantly posting math tips and notes! Thanks!
Answer:
Step-by-step explanation:
Henry and his brother each start a savings account. Henry begins with $200 and deposits $25 each month. His brother begins with $150 and deposits $35 each month. After how many months will the two brothers have the same amount in their savings account?
Answer:
5 months
Step-by-step explanation:
Henry
200+25+25+25+25+25= 325
Brother
150+35+35+35+35+35=325
I need help I don’t know how to do this
Answer:
i need new friends
Step-by-step explanation:
Answer:
Angle 2 and angle 4 are corresponding angles, this is a transversal or since angles 1 and 3 are congruent and 2 and 4 are vertical to them, they are congruent. ,
Step-by-step explanation:
(hellllppp) In which pair do both decimals represent rational numbers
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
2"&!)3(_(*(4(4(*+*("_3
Answer:
what is that supposed to mean?
Answer:
bruh i honestly don't know xD :) Was that even a question..? lol
Step-by-step explanation:
I NEED HELPPPP PLEASE RN!!
A consumer organization compared the monthly costs of similar identity theft protection plans on the market and
published the following list:
$14.25 $12.70 $14.90 $14.25 $9.80 $23 $23 $10 $14.25 $18 $20 $ 10 $20
$14.90 $10 $25 $20 $12 $14.25 $27 $27 $20 $13.75 $10 $9.80.
Construct a frequency distribution table for the data.
Answer:
is A
Step-by-step explanation
b you n t p
Hope this helps
Mark as brainliest of does
Find the distance between the points J(−8, 0) and K(1, 4)
Answer:
Add a picture please :)
Step-by-step explanation:
[tex]\sqrt{97}[/tex]Answer:
Step-by-step explanation:
sure
given a slope of 2 and point (-4,5) write an equation in point slope form
Answer:
y-5=2(x+4)
Explanation:
Point slope form is:
y-y1=m(x-x1)
We can plug in the point and the slope
y-(5)=(2)(x-(-4))
Remove parenthesis and simplify to:
y-5=2(x+4)
The slope of the line that passes through the point (2,4) and (3,8)is
Answer:
4
Step-by-step explanation:
x1 = 2, y1 = 4
x2 = 3, y2 = 8
from, (y2-y1)/(x2-x1) = m
m = (8-4)/(3-2)
m = 4/1
m = 4
Therefore, the slope of the line is 4
Approximate the value of 36/π
Answer:
The approximate value of 36/π is 11.4591559026
Step-by-step explanation:
Please help with this I am a bit confused
Answer:
7^4 x 7^5
Step-by-step explanation:
i will give u brainliest!
Answer:
x = 65*
Step-by-step explanation:
ez clapz
PLEASE HURRY AND HELP NOW !! PLEASE
Answer:
1. B
2. A
Step-by-step explanation:
I've done this before, very easy.