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
lesya692 [45]
3 years ago
15

Write the equation of the line given the following. Write the equation in slope-intercept form.

Mathematics
1 answer:
Elis [28]3 years ago
3 0
Just to get formulas out the way so that I don't have to write them out every time:

slope-intercept form: y = mx + b
where m is the slope and b is the y-intercept.

slope = \frac{Y2-Y1}{X2-X1}
where X1 and Y1 are the x- and y-coordinates in the first ordered pair. Same applies for X2 and Y2.

1) They give you the slope so plug it in along with the point given and solve for b. 

y = 2/5x + b
- 6 = 2/5(- 1) + b
- 6 = - 2/5 + b
- 6 + 2/5 = b
- 30/5 + 2/5 = b
- 28/5 = b

Your equation: y = - 2/5x - 28/5

2) Find your slope first then plug in any point to solve for b.
m = \frac{8 - 5}{5 - (- 2)} =  \frac{3}{7}

y = 3/7x + b
5 = 3/7(- 2) + b
5 = - 6/7 + b
5 + 6/7 = b
35/7 + 6/7 = b
41/7 = b

y = 3/7x + 41/7

3) Same thing as above. 
m = \frac{7 - 7}{5 - (- 3)} =  \frac{0}{8} = 0

y = 0x + b
y = b
7 = b

y = 7

4) Same as above
m = \frac{- 5- 1}{6-6} =  \frac{- 6}{0} = undefined. 

Because your slope is undefined, it is no longer a "y =" problem but rather an "x =" equation. You then take the x-values of the two ordered pairs (they should match) and that becomes the right side of the equal sign.

x = 6
You might be interested in
A house is being purchased at the price of $138,000.00. The 30-year mortgage has a 10% down payment at an interest rate of 4.875
Mama L [17]

Answer:

  $238,600

Step-by-step explanation:

The amount being borrowed is 100% -10% = 90% of the purchase price, or ...

  0.90 × $138,000 = $124,200.

Then the monthly payment can be computed using the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

  A = 124200(.04875/12)/(1 -(1 +.04875/12)^(-12·30)) ≈ 657.28

and the total repaid is ...

  (360 months) × ($657.28/month) = $236,619.58*

The cost of mortgage insurance is considered part of the cost of the loan. That amount is ...

  (77 months) × ($25.88/month) = $1992.76

so the total amount paid for the loan is ...

  $236,619.58 +1992.76 = $238,612.34

The cost of the loan is about $238,600.

_____

* In figuring the total repayment cost, we used the full-precision value for the loan payment. The actual repayment amount will depend on the rounded value of the loan payment and the way the final payment is made. When rounded to the nearest $100, these details become unimportant.

3 0
3 years ago
At a greengrocer, two bananas and one apple cost ?1.16 and one banana and one apple cost ?0.71. How much does one apple cost?
Blababa [14]

Answer

Find out the how much does one apple cost .

To prove

Let us assume that the number of bananas be x .

Let us assume that the number of apples be y .

As given

At a greengrocer, two bananas and one apple cost $1.16 .

Than the equation becomes

2x + y = 1.16

one banana and one apple cost $0.71.

Than the equation becomes

x + y = 0.71

Subtracting x + y = 0.71 from 2x + y = 1.16

2x - x + y - y = 1.16 - 0.71

x = 0.45

Put in the equation x + y = 0.71

0.45 + y = 0.71

y = 0.71 - 0.45

y = $0.26

Therefore the cost of the one apple is  $0.26 .


4 0
3 years ago
What is the slope of the line that passes through the points (2.-4 and (2,4)
Vadim26 [7]

Answer:Undefined

Step-by-step explanation:

4 0
3 years ago
Write the radical equation that has a flip/reflection over the x-axis and a vertical shift down 1.
yan [13]

Answer:

lolidk

Step-by-step explanation:

6 0
3 years ago
Write the standard form of the line passing through the following points (-5,1) and (0,-5)
Ronch [10]

Answer:

-6/5

Step-by-step explanation:

-5-1 / 0-(-5)

3 0
3 years ago
Other questions:
  • What is the equation of a line perpendicular to the line y=(4/9)x-2 that passes through the point (4,3)?
    13·1 answer
  • 4w+24 is less than or equal to 100
    8·1 answer
  • HELP BROS!! I don’t understand at all soo pls feel free to help
    7·1 answer
  • What is the difference in temperature between −10°F and 30°F?
    14·2 answers
  • Order 34 x 10^2, 1.2 x 10^7, 8.11 x 10^-3, and 435 from least to greatest.
    9·1 answer
  • Can someone please help
    13·1 answer
  • the sales tax in one town is 8%. So, the total cost of an item can be written as c + 0.08c. What is the total cost of an item th
    12·2 answers
  • Least to greatest 2/3, -2 2/5, 0.5, -0.8
    11·1 answer
  • Solve for x. pls help !!!!!
    12·1 answer
  • Simplifying the equation below! Please help.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!