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
Aleks [24]
4 years ago
13

Fine the equation, in standard form, of the line passing through the points (3,-4) and (5,1)

Mathematics
1 answer:
Talja [164]4 years ago
5 0

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (3, -4) and (5, 1). Substitute:

m=\dfrac{1-(-4)}{5-3}=\dfrac{5}{2}\\\\y-(-4)=\dfrac{5}{2}(x-3)

The standard form: Ax+By=C

y+4=\dfrac{5}{2}(x-3)           <em>multiply both sides by 2</em>

2y+8=5(x+3)           <em>use distributive property</em>

2y+8=5x+15            <em>subtract 2y from both sides</em>

8=5x-2y+15          <em>subtract 15 from both sides</em>

-7=5x-2y

<h3>Answer: 5x - 2y = -7</h3>
You might be interested in
3w-17= -2 help me get the answer. An solve for w
Dominik [7]
3w=-2+17
3w=15
w=15/3
w=5
5 0
3 years ago
Read 2 more answers
Which shows a correct order to solve this story problem? Kent and Curtis went to the state fair. They had to pay a total of $7.1
KiRa [710]
The problem is asking how much each person will need to pay. Simplifying the problem into an equation with variables (an algorithm) will greatly help you solve it:

S = Sales Tax = $ 7.18 per any purchase
A = Admission Ticket = $ 22.50 entry price for one person (no tax applied)
F = Food = $ 35.50 purchases for two people

We know the cost for one person was: (22.50) + [(35.50/2) + 7.18] =
$ 47.43 per person. Now we can check each method and see which one is the correct algorithm:

Method A)
[2A + (F + 2S)] / 2 = [ (2)(22.50) + [35.50 + (2)(7.18)] ]/ 2 = $47.43
Method A is the correct answer

Method B)
[(2A + (1/2)F + 2S) /2 = [(2)(22.50) + 35.50(1/2) + (2)7.18] / 2 = $38.55
Wrong answer. This method is incorrect because the tax for both tickets bought are not being used in the equation.

Method C)
[(A + F) / 2 ]+ S = [(22.50 + 35.50) / 2 ] + 7.18 = $35.93
Wrong answer. Incorrect Method. The food cost is being reduced to the cost of one person but admission price is set for two people.
6 0
3 years ago
Can someone help me real quick? I’ll give brainliest
blsea [12.9K]

Answer:

Number 4 will be Quadrant 3

Number 5 will be Quadrant 1

Number 6 will be 3 -4

Step-by-step explanation:

For number 6 it says a point so that is what I did sorry if i`m wrong

8 0
3 years ago
Read 2 more answers
Identify the domain of the function shown in the graph. HELP​
pochemuha
A is the answer domain is the x
7 0
3 years ago
Identify the model that shows 4 items being divided equally among 3 people. How much will each person have?
Anna11 [10]

Answer:

9 because 3 x  4 = to 9

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • -11(13 + v) =-121 hey do yall know the answe if so can yall show the work​
    13·1 answer
  • What's 3 quarters in change
    15·2 answers
  • Im in 6th grade and my homwork asks What is 5+6-18+694*88/92+33-11*2,515-55+45*6=? I need help.
    11·1 answer
  • Triangles A B C and X Y Z are shown. Which would prove that ΔABC ~ ΔXYZ? Select two options. StartFraction B A Over Y X = StartF
    13·2 answers
  • HELLLLP (will mark brainiest)
    15·2 answers
  • What is the answer for the question..?
    12·1 answer
  • There are six rows of 16 chairs set up for the third grade play in first 4 of Jonas friend pick
    15·2 answers
  • Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13
    14·1 answer
  • Given the following set of grammar test scores, what
    8·1 answer
  • Help me ASAP bro this is hella weird
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!