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
lapo4ka [179]
3 years ago
15

Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the tab

le feature to confirm that the coordinates of both points satisfy your equation.)
(2, 6) and (4, 16)
Mathematics
1 answer:
expeople1 [14]3 years ago
6 0

<span>
You can write the equation in point-slope form, which has the format <em>y-y</em>subscript1=<em>m</em>(<em>x-x</em>subscript1), with <em>y</em>subscript1 and <em>x</em>subscript1 being the y and x coordinates for a point on the line, and <em>m</em> being the slope. </span>

<span /><span>Substitute a y and x coordinate into the equation so you have <em>y</em>-6=<em>m</em>(<em>x</em>-2)</span>

<span /><span><span>Then find the slope so you can replace <em>m</em>. The slope formula is <em />(<em>y</em>subscript2-<em>y</em>subscript1)/(<em>x</em>subscript2-<em>x</em>subscript1). </span><span>Substitute the coordinates in so you have <em>m</em>=(16-6)/(4-2), which simplifies to 10/2 and then 5.</span></span>

<span><span /></span><span>Now the equation is <em>y</em>-6=5(<em>x</em>-2)</span>

<span />If you want a different form, for example slope-intercept form, you can change it to that:

<span><em>y</em>-6=5(<em>x</em>-2)</span>

<span><em>y</em>=5x-4</span>

You might be interested in
Solve for y. -80 y = 80
FrozenT [24]
-80y=80
-80y/-80=80/-80
Y = -1  Hope this helped!

-Twix
6 0
3 years ago
Read 2 more answers
AlI of the following are equivalent except ______.
ddd [48]

Answer:

(5 - 5) x

Step-by-step explanation:

8 0
3 years ago
A statement of an employee's biweekly earnings is given below. Earnings Deductions Week Ended Regular FED. SOC. MED STATE WITH.
DiKsa [7]

Answer:  d. $852.96


Step-by-step explanation:

Given: The net pay = $667.17

Since net pay is the amount of money your employees take home after all deductions have been taken out.

We know that gross pay is the amount of money that employees receive before any taxes and deductions are taken out.

Thus to find the gross pay, we need to add all of the deductions to the net pay as:

Gross pay=667.17+98+52.88+12.37+22.54 =\$852.96

Hence, D is the right option.

8 0
3 years ago
Read 2 more answers
0.5 - (-10.5 • 5) + 40.5 I need the solution to this problem
kondor19780726 [428]
93.5 Great and write answer please brainliest and thanks

7 0
3 years ago
Work the problem for each card, look for the solution at the top of the next card. Use space and show all work
Vinil7 [7]

Answer:Mathematics of Money:

Compound Interest Analysis With Applications

This site is a part of the JavaScript E-labs learning objects for decision making. Other JavaScript in this series are categorized under different areas of applications in the MENU section on this page.

Professor Hossein Arsham    

Compound Interest: The future value (FV) of an investment of present value (PV) dollars earning interest at an annual rate of r compounded m times per year for a period of t years is:

FV = PV(1 + r/m)mt

or

FV = PV(1 + i)n

where i = r/m is the interest per compounding period and n = mt is the number of compounding periods.

One may solve for the present value PV to obtain:

PV = FV/(1 + r/m)mt

Numerical Example: For 4-year investment of $20,000 earning 8.5% per year, with interest re-invested each month, the future value is

FV = PV(1 + r/m)mt   = 20,000(1 + 0.085/12)(12)(4)   = $28,065.30

Notice that the interest earned is $28,065.30 - $20,000 = $8,065.30 -- considerably more than the corresponding simple interest.

Effective Interest Rate: If money is invested at an annual rate r, compounded m times per year, the effective interest rate is:

reff = (1 + r/m)m - 1.

This is the interest rate that would give the same yield if compounded only once per year. In this context r is also called the nominal rate, and is often denoted as rnom.

Numerical Example: A CD paying 9.8% compounded monthly has a nominal rate of rnom = 0.098, and an effective rate of:

r eff =(1 + rnom /m)m   =   (1 + 0.098/12)12 - 1   =  0.1025.

Thus, we get an effective interest rate of 10.25%, since the compounding makes the CD paying 9.8% compounded monthly really pay 10.25% interest over the course of the year.

Mortgage Payments Components: Let where P = principal, r = interest rate per period, n = number of periods, k = number of payments, R = monthly payment, and D = debt balance after K payments, then

R = P × r / [1 - (1 + r)-n]

and

D = P × (1 + r)k - R × [(1 + r)k - 1)/r]

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 1. x^6y^14 / x^4Y^9
    13·1 answer
  • Liliana can type a 600 word essay in just 8 minutes. how long will it take to type a 2100 word essay
    9·1 answer
  • Which of the following numerical patterns follows the rule add 13
    11·2 answers
  • Solve for P. P + 0.4 = -6 A: -6.4 B: -5.6 C: 5.6 D: 6.4 Please tell me how you got the answer
    9·1 answer
  • What is 4^2+8x-11x+6-5x^2+2​
    9·1 answer
  • Alexander builds a triangular frame with side lengths of 3 ft and 5 ft and a 120∘ angle between them. Which can be the length of
    11·1 answer
  • What is the length of the base edge labeled x?
    5·1 answer
  • 3. Which ordered pair is the solution to the following system of equations?<br> y = x + 4<br> x+y=2
    10·1 answer
  • 3 3/8 divided by 1 1/4
    5·2 answers
  • Use the graph to determine a. the function's domain; b. the function's range; c. the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!