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
kobusy [5.1K]
3 years ago
7

What is an equation of the line that passes through the points (1, -7) and (-4, 8)?

Mathematics
1 answer:
melomori [17]3 years ago
3 0
<h2>Answer:    y + 7  =  -3 (x - 1)</h2>

Step-by-step explanation:

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)  

                                       

                                          =  (- 7 - 8) ÷ ( 1 - (- 4))

                                         =    - 15  ÷  5

                                         =  - 3

We can now use the point-slope form to write the equation for this line:

        y - y₁ = m(x - x₁) where (x₁ , y₁) = (1, -7)

             y - (-7) =  -3 ( x  -  1)

              y + 7  =  -3 (x - 1)

You might be interested in
Twice a year, for all four years of college, you used your credit card to pay for books and supplies, which amounts to $516 a se
mixer [17]

Answer:

$11,728

Step-by-step explanation:

Twice a year, for 4 years is 8 times

516×8 = 4128

Yearly for 4 years is 4 times

700×4 = 2800

Every month for 4 years is 48 times

100×48 = 4800

Minimum expenditure:

4128 + 2800 + 4800 = $11,728

4 0
3 years ago
The administrator of a $200,000 trust fund must adhere to following guidelines.
skelet666 [1.2K]

Step-by-step explanation:

let us give all the quantities in the problem variable names.

x= amount in utility stock  

y = amount in electronics stock  

c = amount in bond

“The total amount of $200,000 need not be fully invested at any one time.”

becomes

x + y + c ≤ 200, 000,

Also

“The amount invested in the stocks cannot be more than half the total amount invested”

a + b ≤1/2 (total amount invested),

=1/2(x + y + c).

(x+y-c)/2≤0

“The amount invested in the utility stock cannot exceed $40,000”

a ≤ 40, 000

“The amount invested in the bond must be at least $70,000”

 c ≥ 70, 000

Putting this all together, our linear optimization problem is:

Maximize z = 1.09x + 1.04y + 1.05c

subject to

x+ y+ c ≤ 200, 000

x/2 +y/2 -c/2 ≤ 0

              ≤ 40, 000,

              c ≥ 70, 000

a ≥ 0, b ≥ 0, c ≥ 0.

3 0
3 years ago
Pls help quick! I am not sure if i did this right
bogdanovich [222]

Answer: The last option, <u>28</u> minutes

Step-by-step explanation:

    See attached for my work. <em>If you are color blind let me know, I color-coded where I "pulled" numbers from.</em>

    To answer this problem, we can look at the graph. We need to see for how long the black line is above the blue.

7 0
2 years ago
Read 2 more answers
Which expression is equivalent to 8-(-8)
Aloiza [94]
What are the answer choices
8 0
4 years ago
Read 2 more answers
Will Give You Brainliest :)
Misha Larkins [42]

178 is the answer

mark brainliest

7 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP What are the zeros of function f(x)=x^2+5x+5 written in simplest radical form?
    9·1 answer
  • Please help me on Interpreting Scatter Plots on problem 1
    6·1 answer
  • Question 9. True or false? Provide a simple counter-example if it is false. (9.a) The sum of two rational numbers x, y EQ is alw
    13·1 answer
  • 9.A couple just had twin boys, but they can't decide between the names Mike, Mark, Peter, Paul, Sam, and Sonny. If the couple ra
    6·1 answer
  • Can anyone help please? I’ll mark brainliest!!!
    10·1 answer
  • Will give brainlist! I need help
    14·1 answer
  • If I have 5 and a half gallons of water and each half gallon needs a pack of salt. how many salt packs do I need?
    9·2 answers
  • If Paul is 5 years old and Mei is 2 years old, how old will Mei be when Paul is 15?
    11·2 answers
  • James works at a clothing store where he earns a 4% commission on his total sales How much does James earn from commission on a
    9·1 answer
  • I need some help<br> Thanks
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!