What is the equation of this graphed line?
Enter your answer in slope-intercept form (y = mx + b) in the
box
Answers
Answer:
[tex]y = - \frac{9}{8} x + 7[/tex]
Step-by-step explanation:
[tex]m = \frac{ - 2 - 7}{8 - 0} = \frac{ - 9}{8} [/tex]
Since this line passes through (0,7), then this point satisfies the equation of the line;
[tex]y = \frac{ - 9}{8} x + b[/tex]
[tex]7 = \frac{ - 9}{8} (0) + b[/tex]
[tex]7 = b[/tex]
[tex]b = 7[/tex]
Hey there!
We are given 2 points that the line passes through, so we can easily determine the slope of the line:
[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\bold{\displaystyle\frac{-2-7}{8-0}=\frac{-9}{8} }[/tex]
So now we have the slope.
However, we also need to find the y-intercept (we are actually given the y-intercept, (0,7) or just 7)
Hence, the equation is
[tex]\boxed{\boxed{\bold{y=-\frac{9}{8} x+7}}}[/tex]
Hope everything is clear.
Let me know if you have any questions; if you do, please comment.
#LearningDoesn'tEnd
Related Questions
An airline sells all the tickets for a certain route at the same price. If it charges 200 dollars per ticket it sells 10,000 tickets. For every 15 dollars the ticket price is reduced, an extra thousand tickets are sold. This if the tickets are sold for 185 dollars each then 11,000 tickets sell. It costs the airline 100 dollars to fly a person. (a) Express the total profit P in terms of the number n of tickets sold. (b) Express the total profit P in terms of the price p of one ticket.
Answers
The function that gives the amount of profit at a given price and number
given are obtained from the relationship between the variables.
a) The profit in terms of the number of tickets sold, P = -0.015·n² + 250·n
(b) The profit in terms of ticket price, is P = -66.[tex]\overline 6[/tex]·p² + 3000·p + 2,333,333.[tex]\overline 3[/tex]
Reasons:
Number of tickets sold at x = $200, is y = 10,000 tickets
Number of extra tickets sold for every $15 price reduction = 1,000 tickets
Number of tickets sold at $185 = 11,000
The cost to fly a person = $100
(a) The rate of change, [tex]\frac{\Delta y}{\Delta x}[/tex], of the number of ticket sold wit price is given as
follows;
[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{11,000 - 10,000}{185 - 200 } = -66. \overline 6[/tex]
The equation in slope and intercept form is therefore;
n - 11,000 = -66.[tex]\overline 6[/tex]·(p - 185)
n = -66.[tex]\overline 6[/tex]·p + 12,333.[tex]\overline 3[/tex] + 11,000 = -66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]
Number of tickets sold, n = -66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]
[tex]Price \ per \ ticket, \ p = \dfrac{23,333.\overline {3} - n}{66. \overline{6}}[/tex]
The revenue, R = n·x
Therefore;
[tex]R = \dfrac{23,333.\overline {3} \cdot n- n^2}{66. \overline{6}}[/tex]
The profit = Revenue - Cost
The cost = 100·n
[tex]Profit, P = \dfrac{23,333.\overline {3} \cdot n- n^2}{66. \overline{6}} - 100 \cdot n = -0.015 \cdot n^2 + 250 \cdot n[/tex]
Total profit, P = -0.015·n² + 250·n(b) The total profit, P, in terms of the price p, for one ticket
Number of tickets sold, n = -66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]
The revenue, R = n·p
∴ R = -66.[tex]\overline 6[/tex]·p² + 23,333.[tex]\overline 3[/tex]·p
Cost = 100·n
∴ Cost = 100·(-66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex])
Therefore, the profit is given as follows;
Profit = -66.[tex]\overline 6[/tex]·p² + 23,333.[tex]\overline 3[/tex]·p - (100·(-66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]))
Therefore;
Total profit, P = -66.[tex]\overline 6[/tex]·p² + 3000·p + 2,333333.[tex]\overline 3[/tex]Learn more here:
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We want to express the total profit in two different ways.
The answers are:
a) P(n) = n*[n - 23,333.3]*(-15/1,000) - n*100
b) P(p) = n(p)*p - n(p)*100 = [ (-1,000/15)*p + 23,333.3]*(p - 100)
The given information is:
If the ticket price is $200, they sell 10,000 tickets.If the ticket price decreases $15, they sell 1,000 tickets more.It costs $100 to fly a person, then the cost of each ticket is $100.a) We want to get the profit in terms of the number n of tickets sold.
The number of tickets sold depends on the price, we know that it is a linear relation like:
n(p) = a*p + b
where p is the price.
we know that:
n(200) = 10,000
n(185) = 11,000
If this is a linear relation, the slope is known:
a = -1,000/15$
Then the line is something like:
n(p) = (-1,000/15)*p + b
We know that if k = 200, then n = 10,000
Replacing that we have:
n(200) = 10,000 = (-1,000/15)*200 + b
10,000 + (1,000/15)*200 = b = 23,333.3
Then the number of tickets sold as a function of the price is:
n(p) = (-1,000/15)*p + 23,333.3
Then the revenue is given by the number of tickets sold times the price, this is:
r(n) = n*p
We can write k in terms of n as:
k = [n - 23,333.3]*(-15/1,000)
Then the revenue as a function of the number of tickets sold is:
r(n) = n*[n - 23,333.3]*(-15/1,000)
The profit is the difference between the revenue and the cost, then the profit function is:
P(n) = n*[n - 23,333.3]*(-15/1,000) - n*100
Where n*100 is the cost.
b) now we want to write the same equation, but this time as a function of the price.
now the revenue is:
r(p) = n*p = [ (-1,000/15)*p + 23,333.3]*p
Then the profit is:
P(p) = n(p)*p - n(p)*100 = [ (-1,000/15)*p + 23,333.3]*(p - 100)
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???? ????? ?????????????
Answers
Answer:
12/5
Step-by-step explanation:
tan(G) = opposite side ÷ adjacent side
⇒ tan(G) = 24/10 = 12/5
Mark is painting the ceiling of a square room. If the area he paints is 400 sq. feet, what are the dimensions of the room?
Answers
Answer:
20 by 20
Step-by-step explanation:
square root of 400 is 20
20 times 20 = 400
what is 3|(18-3)+4((5-(-7)|
Answers
Answer:
37
Step-by-step explanation:
Expand the equation
3 x (18 - 3) + 4 x (5 - 7)
Use BODMAS
First find the sum of brackets
18 - 3 = 15
3 x 15 = 45
then
5 - 7 = -2
-8
so
45 + - 8 = 37
BODMAS
B - Brackets
O - Power
D - Divison
M - Multiplication
A - Addition
S - Subtraction
Hope this helped you
:-)
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Answer:
B and D
Step-by-step explanation:
From inspection of the graph, we can see that as [tex]x[/tex] increases, [tex]f(x)[/tex] tends to 0 (gets increasingly closer to zero, but doesn't actually get there).
Therefore:
B) [tex]\textsf{as }x\rightarrow +\infty, f(x) \rightarrow 0[/tex]
From inspection of the graph, we can see that as [tex]x[/tex] decreases, [tex]f(x)[/tex] is increasing.
Therefore:
D) [tex]\textsf{as }x\rightarrow -\infty, f(x) \rightarrow +\infty[/tex]
PLS HELP FAST 20 PTS Identify the length of MN.
Answers
Answer:
Try 6.5
Step-by-step explanation:
Maybe that might work out
There are 5 crayons. Two are broken. What fraction of the crayons are not broken?.
Answers
Answer:
3/5 of the crayons are not broken since 2 are broken
The fraction of crayons that are not broken if out of 5 crayons, 2 of them being broken is 3/5
How to interpret the fraction?Suppose the fraction is proper (the numerator is smaller than the denominator).
Let it be [tex]\dfrac{a}{b}[/tex]
Then, we can interpret it as:
[tex]\dfrac{a}{b}[/tex] is "a" parts out of "b" parts of a thing.
Here, we're specified that:
5 crayons are there2 crayons are brokenThen we get:
Number of crayons that aren't broken = total crayons - number of broken crayons = 5 - 2 = 3
Thus, 3 out of 5 crayons are not broken.
Using fraction, we write it as:
[tex]\dfrac{3}{5}[/tex]
We pronounce it as "three-fifth of total crayons are not broken".
Thus, the fraction of crayons that are not broken if out of 5 crayons, 2 of them being broken is 3/5
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If a supplement of an angle is 20 more than 3 times a complement, then the measure of the angle is?
Answers
therefore,Its supplement is 180-x and its complement is 90-x
According to the problem
180-x=3(90-x)+20
=>180-x=270-3x+20
=>-x+3x=270+20-180=110
=> 2x=110
x=55
Write in standard form 820000000
Answers
Answer: 8.2 x 10^8
Step-by-step explanation:
Answer:
[tex]answer[/tex]
[tex]820000000 = 8.2 \times 10 {}^{8} [/tex]
Step-by-step explanation:
hope this helps you!!!
#ITSCHOCOLOVER
Please help I need just 4 Correct for answers to pass
Answers
Answer:
Hey!
Your answer is 14m (2sf)
Step-by-step explanation:
WE HAVE TO USE PYTHAGORAS! ⇒ a²+b²=c² THEN √c = (unknown side)
Here: 12² + 8²= 208
Now SQUARE-ROOT 208! ⇒ √208
ANSWER: 14.42220510185596
The answers there are rounded up so we round this number to get 14m!
B IS YOUR OPTION!
I HOPE THIS HELPED YOU!Question number 2 please
Answers
Answer:
[tex]1 \frac{5}{6} [/tex]
Step-by-step explanation:
[tex] \frac{1}{6} + 1 \frac{2}{3} \\ \\ \frac{1}{6} + \frac{5}{3} \\ \\ \frac{1 + 10}{6} \\ \\ \frac{11}{6} \\ \\ = 1 \frac{5}{6} [/tex]
The right answer is not in the option smh.
Use picture above.
Write the ratio. Please explain what the ratio means.
Answers
1) 2:5 ratio
This is a fairly simple process, you count how many of each and then put them in order the way the question asks.
So there are 5 cans and 2 bottles. The question asks "bottles to cans" so the correct answer HAS to be 2:5, NOT 5:2.
2) 3:1
There is 1 spoon and 3 forks. The question asks "forks to spoons" so the correct answer HAS to be 3:1, NOT 1:3
simplify -4/5 divided by 3/-2
Answers
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
Answer:6/36
Step-by-step explanation:
i need help, what do i do?
Answers
Answer:
x = 2, y = 5.
Step-by-step explanation:
The solution is the point where the lines cross.
(2, 5)
What is the Volume of this polygon ?
Answers
Answer:
100 cm^3
Step-by-step explanation:
Volume = 10x5x2 = 100
Answer:
100cm3
Step-by-step explanation:
To calculate the volume you have to to 2x5x10=10x10=100
Pls rate brainliest!
Diego likes to add an 18% tip to
his restaurant check. How much
tip will he leave if his total bill is
$65.70?
Answers
Answer:
the tip would be $11.83
Step-by-step explanation:
hope that helps
What steps do you need to take to solve the equation 1 2x+6=18?
Answers
1.) move the constant over (1/2x=18-6) || 2.) combine like terms (1/2x=12) || 3.) divide both sides by 1/2 to get x alone (x=6)
Caitlyn has a credit card with a spending limit of $1500 and an apr (annual percentage rate) of 18%. during the first month, caitlyn charged $375 and paid $250 of that in her billing cycle. which expression will find the amount of interest caitlyn will be charged after the first month? (0.18) (250 dollars) (0.015) (375 dollars) (0.18) (375 dollars) (0.015) (125 dollars)
Answers
The amount of interest Caitlyn will be charged after the first month is $1.875.
Annual percentage rate(APR) of the credit card = 18%
What will be the Monthly Percentage Rate of the credit card?The monthly percentage rate will be 1/12th of APR.
The Amount charged in the first month =$375
Amount paid in billing cycle = $250
So, the amount on which interest will be levied = $375 - $250 = $125
The interest levied on $125 = 125* (18/12)* (1/100)
The interest levied on $125 = $1.875
Therefore, the amount of interest Caitlyn will be charged after the first month is $1.875.
To get more about interest visit:
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Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?
ANSWER: A
Answers
Answer:
>
Step-by-step explanation:
Which point is not on the graph of the equation
4x+2y=12
A.(-2, 10)
B.(0, 6)
C.(-5, 4)
D.(7, -8)
Answers
Answer:
-5, 4
Step-by-step explanation:
When finding the slope of all the points they all are supposed to equal -2. (-5, 4) slope is 2, so that is why it is incorrect.
Hope this helps! :)
What is the slope of the line perpendicular to the line with the equation 5x + 3y=18?
Answers
Answer:
3 i think
hope it helps...
A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 47 °. How far off the coast, to the nearest foot, is the island?
Answers
let x rep the foot of the island
Using trig formula
SOHCAHTOA
sin 47° = 950/x
xsin47° = 950
x = 950/sin47°
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A. 4w + 3
B. w – 3
C. 5w
D. 6w + 4
Answers
Answer: i got C sorry if its not right
Solve 3[-x + (2 x + 1)2 = x - 1
X=?
Answers
Answer:
x=−7/8
Step-by-step explanation:
Type A is five feet tall and grows at a rate of 12 Inches per year?
Answers
Answer: it is 5 years old
Step-by-step explanation: because 12 inches is 1 foot long and5feetis5yearsfootlongfoot
A video game costs £42.
A new version of the game is released.
The price has increased by 15%.
Work out the cost of the new version. £ |
Help!!!
Answers
Answer:
48.30
Step-by-step explanation:
42(1.15) = 48.30
New version (15% more expensive)
Change in cost: 42 x 15% = 6.3
New version cost: 42 + 6.3 = 48.3
What is the equation of the line that goes through (-3,-1) and (3,3)?
A. 3x + 2y = 15
B. 3y + 2x = 15
C. 3x − 2y = 3
D. 2x − 3y = -3
Answers
hope this helps..........…….
Answer:
It’s D : 2x - 3y= -3
Step-by-step explanation: I got a 100 on the test.
The temperature is 8 degrees if the dropping rate is 3.5 degrees an hour. How many hours until it is -20degrees?
Answers
what is the property of equality of 2y − 40 = -18?
Answers
Answer:
Given the equation 2y-40=-18 to simplify the equation further we need to first add 40 to both sides of the equation thereby justifying the addition property as shown;
2y-40 + 40 =-18+40
2y = 40-18
2y = 22
We will also apply the division property here. Division property is used when both sides of an equation is divided by a number without affecting the equality rule.
Dividing the resulting equation by 2:
2y/2 = 22/2
y = 11
Step-by-step explanation:
Which graph represents a function?
Answers
Answer:
the answer is the top right one