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4 years ago

How do you write an equation in slope intercept when given the slope and a point?

Mathematics

1 answer:

Vlad1618 [11]4 years ago

8 0

To write an equation in slope intercept form given the slope and a point, plug into point-slope form.

(y - y1) = m(x - x1)

In this equation, m is your slope and (x1, y1) is your point. If you follow this and solve for y, you will get your equation in slope intercept form.

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Solve using substitution: 2x−3y=−1 y=x−1

tekilochka [14]

Answer:

Step-by-step explanation:

2x - 3y = - 1 ………… Equation 1

y = x - 1 ….……….… Equation 2

To solve using substitution , substitute equation 2 into equation 1

That's

2x - 3( x - 1) = - 1

2x - 3x + 3 = - 1

- x = - 1 - 3

- x = - 4

Multiply through by - 1

We have

Substitute x = 4 , into y = x - 1

We have

y = 4 - 1

y = 3

We have the answers as

x = 4

y = 3

Hope this helps you

6 0

3 years ago

Cuanto me da como resultado

Likurg_2 [28]

Step-by-step explanation:

1) $(-4)^2{\cdot}(-4)$

We know that, $a^x{\cdot}a^y=a^{x+y}$

$(-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64$

2) $(-2)^5{\cdot} (-2)^3$

Again using above property,

$(-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256$

3) $5^{-3}$

We know that,

$a^{-x}=\dfrac{1}{a^x}$

So,

$5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}$

4) $2.5^2=2.5\times 2.5\\\\=6.25$

Hence, this is the required solution.

4 0

3 years ago

Bryan used the six steps to solve this problem. On one of the steps, he decided that he would use multiplication and addition to

Vera_Pavlovna [14]

Bryan used step 4 to help him decide.

5 0

3 years ago

Fill in the missing number to complete the equivalent fraction show what you multiply or divided by convert each improper fract

lorasvet [3.4K]

Answer:

3a) 5/45 you divide by 5

3b) 6/7 you divide by 2

3c) 2/7 you divide by 9

3d) 2/5 you divide by 9

4a) 6

4b) 1 <u>1/4</u> or 5/4 (both are correct)

4c) 3 <u>1/2</u> or 3 <u>3/6</u> (both are correct)

4d) 5 <u>1/8</u>

The fraction bar tells you to divide the top number by the bottom number.

Step-by-step explanation:

For 3a through 3d, you just use the fraction that has a missing number, and if the missing number is at the bottom, use the top number and devide it by the other top number that the fraection is equal to.

For 4a through 4b, devide the top the bottom number

6 0

3 years ago

AMDM TVM

Liono4ka [1.6K]

Answer: Vanessa is a financial planner specializing in retirement savings. She realizes the importance

of using mathematical formulas and the appropriate tools to help her clients understand the

reasoning behind the advice she is giving.

One of her favorite tools is a time-value-of-money (TVM) calculator. In Student Activity

Sheet 4, you met Josephine, one of Vanessa’s clients who wanted to retire with $1 million

in savings.

1. In Josephine’s initial situation, she plans to retire in 50 years with $1 million in savings.

Vanessa advised her to find an account that earned at least the current rate of inflation.

Use this information to complete the table below.

Variable Definition of Variable Value in Josephine’s

Situation

FV future value, or value of the investment at maturity

t number of years of investment until maturity

i annual interest rate (as a decimal)

PV principal, or present value

n number of compounding periods per year

Vanessa uses a TVM calculator to help Josephine understand how the different variables

affect one another.

2. Identify the values in Josephine’s situation for each variable that the TVM calculator

uses.

Variable Definition of Variable Value in Josephine’s

Situation

N number of compounding periods between the

time of investment and the time of retirement

I% annual interest rate (as a percent)

PV principal, or present value

PMT amount of each regular payment

FV future value, or value of the investment at

maturity

P/Y

number of payments per year (usually the same

as the number of compounding periods per year,

C/Y)

C/Y number of compounding periods per year

Student: Class: Date:

Decision Making in Finance: Present Value of an Investment

VI.B Student Activity Sheet 5: A Cool Tool!

Charles A. Dana Center at The University of Texas at Austin Advanced Mathematical Decision Making (2010)

Activity Sheet 5, 6 pages

3. Use the TVM calculator to determine the present value (PV) of the investment required

to meet Josephine’s retirement goal. How does this amount compare to what you

determined in Student Activity Sheet 4?

Use the TVM calculator to answer the following questions for some of Vanessa’s other

clients.

4. Reginald wants to find the future value of an investment of $6,000 that earns 6.25%

compounded quarterly for 35 years.

Variable Definition of Variable Value in Reginald’s

Situation

N number of compounding periods between the time

of investment and the time of retirement

I% annual interest rate (as a percent)

PV principal, or present value

PMT amount of each regular payment

FV future value, or value of tStep-by-step explanation:

3 0

3 years ago