3. Write the equation of a line in slope-intercept form that passes through the following points: (3,-8) and (-12,2).
Answers
Answer: Y=-2/3x-6
Step-by-step explanation:
we subtract both y1 x1 and y2 x2:
2-(-8)
-12-3 =
10/-15 = -2/3 (Equivalent fraction)
y=-2/3x + b
we need to plug in the first point which is (3.-8)
-8=-2/3(3) the 3 cancels out and we are left with -8=-2
we subtract and get -6 which is our Y intercept
just an addition to the decent posting above
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-12}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{(-8)}}}{\underset{\textit{\large run}} {\underset{x_2}{-12}-\underset{x_1}{3}}} \implies \cfrac{2 +8}{-15} \implies \cfrac{ 10 }{ -15 } \implies - \cfrac{ 2 }{ 3 }[/tex]
[tex]\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}{(-8)}=\stackrel{m}{- \cfrac{ 2 }{ 3 }}(x-\stackrel{x_1}{3}) \implies y +8 = - \cfrac{ 2 }{ 3 } ( x -3) \\\\\\ y+8=- \cfrac{ 2 }{ 3 }x+2\implies {\Large \begin{array}{llll} y=- \cfrac{ 2 }{ 3 }x-6 \end{array}}[/tex]
Related Questions
Luis has $12 and wants to buy 6.6 pounds of apples. Apples cost $1.80 per pound. Luis rounded each value and estimated that he does not have enough money to cover the cost of the apples before sales tax is applied. Which best explains how his estimate relates to the actual product?
Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples.
Because each value rounds up, his estimate is higher than the actual product. He does not have enough money to buy the apples.
Because each value rounds up, his estimate is lower than the actual product. He does not have enough money to buy the apples.
Because each value rounds up, his estimate is lower than the actual product. He might have enough money to buy the apples.
Answers
Answer:
A. Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples.
Step-by-step explanation:
You want to know how Luis's estimate that $12 is not enough money to buy 6.6 pounds of apples at $1.80 per pound relates to the actual product. Luis rounded each value up.
EstimateBy rounding each value up before multiplying them, Luis arrived at a product that is higher than the actual product. This means ...
A. Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples.
__
Additional comment
The actual product is 6.6×$1.80 = $11.88. Depending on the amount of tax, Luis may have enough money.
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Eve wrote a total of 24 pages over 8 hours. How many hours will Eve have to spend writing this week in order to have written a total of 33 pages? Solve using unit rates.
hours:
Answers
Answer:
36
Step-by-step explanation:
i think oh yeah if that don't work go to this app called m a t h w a y with no spaces
hellpppppppppppppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
the answer is 3/2 because it goes 3 over 2 up
Answer:
2/3
Step-by-step explanation:
K=y/x
where y and x are two quantities that are directly proportional to each other
looking at the graph at x = 3 and y=2
therefore 2/3
also at x =6 and y = 4 (their proportional)
4/6 = 2/3
Drag the answers to match the inequality and the situation it represents.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
c<10
c>10
c<20
c>20
The option "The chair is shorter than 20 inches." (3 of 5) has been selected.
Answers
less than 20 inches yeyeyeyeyeyeyeyeyey
x-y x(45) get the answer for it
Answers
Answer:
Hope it helps u = -45yx+xAnswer:
Step-by-step explanation:
-45yx+x
Adam plans to choose a video game from a section of the store where everything is 75% off. He writes the expression d - 0.75 d to find the sale price of the game if the original price is d dollars. Rena correctly writes another expression, 0.25 d, that will also find the sale price of the game if the original price is d dollars. Drag each description to explain each part of both expressions.
Answers
Answer:
The expression d - 0.75d finds the sale price of the game if the original price is d dollars by subtracting 75% of the original price from the original price.
=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=
The expression 0.25d finds the sale price of the game if the original price is d dollars by multiplying the original price by 25%.
=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=
In both expressions, d represents the original price of the game. The first expression subtracts 75% of the original price, represented by 0.75d, from the original price to find the sale price. The second expression multiplies the original price by 25%, represented by 0.25, to find the sale price.
=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=--=
Please help me with this what is the answer
Answers
Answer: The next number in the quotient is 2
Step-by-step explanation: Sorry for the messy handwriting
The electricity consumption in a start-up company was 4 kwh per day. As the manpower increased, the consumption of electricity increased to 10 kwh per day. What is the percent of increase in the consumption of electricity at the start-up company?
Answers
Answer:
150%
Step-by-step explanation:
10-4 is 6, and that is how much it increased by. Now, you have to find what percentage is 6 out of 4. 6/4 is 1.5, so you would multiply 1.5 by 100 to make it into a percent. 1.5*100=150, so your answer is 150%.
PLS HELP me solve this i am not looking for a direct answer just some help solving this.
Answers
Answer:
hint
Step-by-step explanation:
In order to solve this, you first have to find the diameter. You can do this by dividing the circumference by π. Then, find the radius and use the formula for the area of a circle, which is:
π[tex]r^{2}[/tex]
PLS ANSWER QUICK!!
:(
Answers
Answer: your answer should be 1.1 kg
Step-by-step explanation: if 1 kg equals 2.2 lbs then just divide the mass value by 2.205
so your answer should be A.) 1.1 kg
Sarah went bowling with $20 to spend. She rented shoes for 2.50 and paid 5.00 for each game. What was the greatest number of games she could have played?
Answers
Answer:
3
Step-by-step explanation:
PLease help and please include steps
90 POINTS
BRAINLIEST
Answers
Answer:
Step-by-step explanation:
actually it is 9.3y divided by 4
helppppppppppppppppppp
Answers
Answer:
12n + 8
Step-by-step explanation:
Distributive property of multiplication over addition:
a(b + c) = ab + ac
4(3n + 2) = 12n + 8
Can someone help I'm stuck
Answers
Answer:
for number 12 the answer is 1.5
Step-by-step explanation:
5.5 - 4 = 1.5 (answer not equation)
EQUATION : 4 + 1.5 or 5.5 - 4 either or would work ig
Look at the question you wrote in problem 4. Show how to estimate the answer.Then find the find the actual answer
Answers
Answer:
On Monday, Marco practiced the piano for 7/10 hour. On Tuesday he practiced for 11/6 hour. To find out how many hours he practiced in total for these two days, we need to add these two amounts together.
We can add these two amounts together by converting them to a common denominator, in this case 24:
7/10 hour = (7/10) * (24/6) = 724/60 = 72/5 = 14/5 hour
11/6 hour = (11/6) * (24/6) = 114/6 = 112/3 = 22/3 hour
So the total number of hours he practiced for these two days is (14/5) + (22/3) = (14+44)/(5*3) = 58/15 hour
He is supposed to practice 5/4 hours each day. To find out how many hours he is still supposed to practice, we have to subtract the total number of hours he practiced from the total number of hours he is supposed to practice per day:
5/4 hour - 58/15 hour = (53)/(43) - (58/15) = 15/12 - 58/15 = (180-58) / (12*15) = 122/180 hour or 0.67 hour
So Marco is supposed to practice 0.67 hour more to meet his daily practice goal.
However I was not able to read what you wrote please check from here. Thanks.
Sandra used her debit card to buy lunch for 8.74 dollars on Monday. on Tuesday she she deposit 8.74 back into her account. What is the overall increase or decrease in her bank account?
Answers
Answer: she decrease it
Step-by-step explanation:
because when she bought lunch with 8.74 then she deposit 8.74
deposit- a sum of money placed or kept in a bank account, usually to gain interest.
For every $\$5$ I put in my piggybank, my friend Amy puts $\$3$ in hers. We both started saving at the same time with $\$0$ in each of our piggybanks. When we broke open our piggybanks I had $\$120$ more than Amy. How much money did Amy have?
Answers
Answer:$180
Step-by-step explanation: 5 x 60 is 300
3 x 60 is 180
300-180=120 meaning Amy had 180 dollars in her piggy bank
Mike’s average monthly budget for groceries is $600. Here is a list of his grocery budget for 2017. How much money does he have available for May? If he spends all of the money he has available, what is the median of his spending?
Answers
Answer:add the list
Step-by-step explanation:
Answer the question below:
Answers
Answer: 20%
Step-by-step explanation:
1/5=2/10=20/100, so the tax is 20% of the total car price.
There are 5 sections in total and tax is 1/5 of the car price.
1/5 = 0.2
0.2 x 100 = 20
20%
So, if I have 30 slides to do, and seven days to do them, how many slides will I do each day?
Answers
Answer: Roughly 4.3 (You would want to do 5 a day, which will make you not need to work the seventh day, if the answer is even.)
Step-by-step explanation:
30 (slides) divided by 7 (days) = 4.28571... = round up to 4.3 or 5
3y + 6/28 + 5n + 1/28 + 5y -3n
this is for late homework ant I'm only 6th grade and this is what they giving me
Answers
Work:
3y + 6/28 + 5n + 1/28 + 5y - 3n
Arrange equation so that the like terms are next to eachother.
3y + 5y + 5n - 3n + 6/28 + 1/28
Combine like terms.
8y + 2n + 7/28
Simplify the fraction.
8y + 2n + 1/4
This is your final answer!
What is the value of x in this proportion?
(A)x=−2 4/5
(B)x=−4 2/5
(C)x=−5 1/5
(D)x=−6 4/5
5/6=−4x/+2 PLEASE HELP 50 POINTS!!!!!
Answers
Answer:
(A)x= -8/5
(B)x= -8/5
(C)x= -5/5 = -1
(D)x= -20/5 = -4
and the last one , 5/6=2x
x= -5/12
I hope I help you in this ans and tq.
Express each situation as an integer in the space provided. A gain of 56 points in a game.
Answers
Answer: 56
Explain: This is becasue the gain of points is POSITIVE
In order to make a doughnut, a circular piece of dough that has a diameter of 2 inches is cut out of the center of a larger circular piece of dough that is 5 inches in diameter. What is the surface area of the top of the doughnut? You may leave your answers in terms of π.
Answers
Answer:
5.25π square inches
Step-by-step explanation:
To find the surface area of the top of the doughnut, we can use the formula for the area of a circle:A ...
HELP ME IT DUE AT 10;25 EST
Answers
Answer:
for 1) x<-3
for 2) click on the first two
for 3) an open circle with the line pointing left
for 4) x <_ -3
for 5) click the last 3
for 6) a closed circle and the arrow going to the right at -3
for 7) an open circle as it cannot be that number so an open circle on -3 with the arrow pointing right
Step-by-step explanation:
hope that helps
CAN SOMEONE PLEASE HELP ME
Answers
Answer:
Step-by-step explanation
for questions like this you need to set up ratios
you need to find out how many grams 1 apple is to find the weight of 6
2 divided by 2 = 1 and 511 divided by 2 = 255.5 grams
so now you take grams multiplied by how many apples you want to get so you do
Answer - 255.5 x 6 = 1,533 grams for 6 apples
What is the answer to both of these fill in the blanks
Answers
Someone please help me with this, I attached an image.
Answers
the y axsis increases by 2 in between 0,-1 and -4,1 so if you add 2 to the y axis of 3,5 you get 3,7 the you see the x axis decreases by 4 3-4 -1
awnser -1,7
0.0002077 in scientific notation
Answers
PLEASE HELP
SHOW STEPS
90 POINTS
BRAINIEST
Answers
Answer:
Step-by-step explanation:
4.96+3y