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
tatyana61 [14]
2 years ago
7

Use the order pairs to write a function rule. Give the tule in slope-intercept form.

Mathematics
1 answer:
topjm [15]2 years ago
3 0

to get the equation of any straight line, we simply need two points off of it, so hmmm let's use say (-1 , -1.25) and (8 , -3.5)

(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1.25})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3.5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3.5}-\stackrel{y1}{(-1.25)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-1)}}}\implies \cfrac{-3.5+1.25}{8+1}\implies \cfrac{-2.25}{9}\implies -\cfrac{~~ \frac{225}{100}~~}{\frac{9}{1}} \\\\\\ -\cfrac{225}{100}\cdot \cfrac{1}{9}\implies -\cfrac{9}{4}\cdot \cfrac{1}{9}\implies -\cfrac{1}{4}

\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}{(-1.25)}=\stackrel{m}{-\cfrac{1}{4}}(x-\stackrel{x_1}{(-1)}) \\\\\\ y+1.25=-\cfrac{1}{4}(x+1)\implies y+\cfrac{5}{4}=-\cfrac{1}{4}x-\cfrac{1}{4} \\\\\\ y=-\cfrac{1}{4}x-\cfrac{1}{4}-\cfrac{5}{4}\implies y=-\cfrac{1}{4}x-\cfrac{6}{4}\implies y=-\cfrac{1}{4}x-\cfrac{3}{2}

You might be interested in
There are 12 girls on the soccer team. That is 3 times the number of boys on the team.
Klio2033 [76]

Answer:

4 boys

Step-by-step explanation:

\frac{1}{3} :\frac{y}{12}

3 × y = 1 × 12

3y = 12

3y ÷ 3 = 12 ÷ 3

y = 4

7 0
2 years ago
3m to the power of 2= 222<br> What is the value of m?
Alecsey [184]

Answer:

if it is 3m^2 then √74        if you meant (3m)^2 it is √74/3

Step-by-step explanation:

if the first then you divide 3 from both sides thus getting m^2= 74, and you get m=√74, if second then you get 9m^2 and you divide 9 from both sides and get m^2 = 2.4(8) and you square that to get √74/3

8 0
2 years ago
A sphere is inscribed inside a cube with edges of 6 cm. In cubic centimeters, what is the volume of the sphere in terms of ?
masya89 [10]
V = 4πr³/3
Substituting,
V = (4/3)π(3 cm)³
V = 36π cm³
7 0
2 years ago
Shana bought sodas and popcorn for the movies .Sodas cost $3 each and popcorn cost $4 per bag . Shana bought 7 things from the c
asambeis [7]

Answer: Shana bought 2 sodas.

Shana bought 5 bags of popcorn.

Step-by-step explanation:

Let S represent the number of sodas that Shana bought.

Let B represent the number of bags of popcorn that Shana bought.

Shana bought 7 things from the concession., all either sodas or bags of popcorn. This means that

S + B = 7

Sodas cost $3 each and popcorn cost $4 per bag. Shana spent a total of $26. This means that

3S + 4B = 26 - - - - - - - - - - - - -1

Substituting S = 7 - B into equation 1, it becomes

3(7 - B) + 4B = 26

21 - 3B + 4B = 26

- 3B + 4B = 26 - 21

B = 5

S = 7 - B = 7 - 5

S = 2

3 0
3 years ago
The velocity of a car was 30m/s when the driver pushed the brake of the car and it stopped after 2 seconds. Assume that the acce
Murljashka [212]

Answer:

the "acceleration" is -15m/s (it's negative because it is slowing down, not speeding up[it might just be a positive 15m/s if it is called deceleration and not acceleration])

Step-by-step explanation:

30m/s (starting speed)/2 (the number of seconds it took to stop from 30m/s

3 0
3 years ago
Other questions:
  • Please help ASAP I’m not sure on the answers . Please give answers to both questions :)
    6·1 answer
  • A scientist planted seeds in 4 sections of soil for an experiment. not all of the seeds grew into plants. after 20 days, the sci
    12·1 answer
  • Adam and Ian go to the movie theater and purchase refreshments for their friends. Adam spends a total of $62.75 on 2 drinks and
    7·2 answers
  • Answe questions above
    8·1 answer
  • Please help
    7·1 answer
  • Bruno is designing his next skateboard. the skateboard store has 333 types of grip tape, 131313 types of decks, 777 types of tru
    14·2 answers
  • Which similarity statement is true?
    5·1 answer
  • What is 1.57 equal to ? Please help
    12·1 answer
  • Jacob has 17 yards of fabric. He uses 1 third of it to make a cape. How many yards of fabric does Jacob use for the cape?
    12·2 answers
  • Question: What Is The Average Time Spent Per Outsourced Project, Across All Regions For All Of The Projects? Bentrim Outsourcing
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!