what is the equation of the line parallel to the line y=1/4x+5 and passing through the point (2,-1)

Answers

Answer 1

Answer:

The answer is

[tex]y = \frac{1}{4} x + \frac{1}{2} [/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The equation of the line is

y = 1/4x + 5

Comparing with the general equation above

Slope / m = 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = 1/4

So the equation of the line using point (2,-1) and slope 1/4 is

[tex]y + 1 = \frac{1}{4} (x - 2) \\ y - 1 = \frac{1}{4} x - \frac{1}{2} \\ y = \frac{1}{4} x - \frac{1}{2} + 1[/tex]

We have the final answer as

[tex]y = \frac{1}{4} x + \frac{1}{2} [/tex]

Hope this helps you


Related Questions

Please answer both I'm really struggling with my homework

Answers

1/64 & 16
hope that helped :)

Answer:

[tex]D. \frac{1}{64}[/tex]  C. 16

Step-by-step explanation:

Second question:

[tex]2^{3}[/tex] = 2 × 2 × 2 = 8Plug 8 in: 6 ÷ 3 × 86 ÷ 3 = 2Plug 2 in: 2 × 8 = 16

I hope this helps!

Solve 0.5y+y/3=0.25y+7​
please answer this question

Answers

Answer:

y = 28

Step-by-step explanation:

0.5y + y/ 3 = 0.25y + 7

1.5y / 3 = 0.25y + 7

y/2 = 0.25y + 7

y = ( 0.25y + 7)*2

y = 0.5y + 14

y - 0.5y = 14

0.5y = 14

y = 14/0.5

y = 28

Simplifying expressions, I just need questions 8-18... help me please

Answers

1.) 3x-11
2.) -18x-35
3.) 13x+8
4.) -28x-16
5.) -7x+23
6.) -2x-57
Here are the first top rows

-6(9-9v) what is the answer

Answers

simplify the expression-54+54v

What is true about the relationship between miles and gallons?
gallons 2
4
8
miles
30
60 90
120
K

Answers

Answer:

It is a linear relationship

There were 52 problems on Petunia's last math test. She got
one-fourth of them wrong. How many questions did she get right?

Answers

Answer:13

Step-by-step explanation:

What is the least common multiple (LCM) of 5 and 12?

Answers

Answer:

60

Step-by-step explanation:

asked google

Answer:

60

Step-by-step explanation:

5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70

12: 12 24 36 48 60 72 84

which number line shows the inequalaty n>-3

Answers

Answer:

the number line shows inequality

What is the next term of the geometric sequence?
2, 10, 50,

Answers

Answer:

5

Step-by-step explanation:

2*5=10

10*5=50

Answer:

250

Step-by-step explanation:

as it raises it it multiplying by 5

Identify all properties being shown: (5x^3 + 2) + 7x^2 = (7x^2 + 5x^3) + 2

Answers

Answer:

No solutions

Step-by-step explanation:

5x^3 + 2 + 7x^2 = 7x^2 + 5x^3 +2

125x + 2 + 49x = 49x + 125x + 2

-125x                             -125x

2 + 49x = 49x + 2

-2 -49x    -49x  -2

0 = 0

Hope this helped :)

WILL DO BRAINLIEST IF RIGHT ASAP Evaluate the expression for r = –2. –40(–31 − 16r)2 + r2 =

Answers

Answer: -36

Step-by-step explanation:

To evaluate the expression, you want to plug in r to solve.

-40(-31-16(-2))²+(-2)²              [parenthesis]

-40(1)²+(-2)²                             [exponent]

-40+4                                       [add]

-36

Now we know the expression is equal to -36 when r=-2.

How do you work out the gradient of a line?

Answers

Step-by-step explanation:

The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 . To find the gradient of a curve, you must draw an accurate sketch of the curve.

NEEDING SMART PPL PLEASE I NEED HELP will give brainly Given the following expressions:
A. 5^3· 5^-4 B. 3^5/3^-6
C. (1/4)^3 · (1/4)^2
D. (-7)^5/(-7)^7
Part 1: Use operations of exponents to simplify each expression (A-D). Include your work in your final answer.

Part 2: For each simplified expression (A-D), tell whether or not the expression has a value between 0 and 1. please write in your own words

Answers

Answer:

Part 1:

a. 5^3 x 5^-4 = 125 x 1/(5)^4 = 125 x 1/625 = 125/625 = 0.2b. 3^5/3^-6 = 3^5 x 3^6 = 243 x 729 = 177147c. (1/4)^3 x (1/4)^2 = 1/64 x 1/16 = 1/1024 = 0.00097656d. (-7)^5/(-7)^7 = -16807/-823543 = 1/49 = 0.02040816...

Part 2:

a. has a value between 0 and 1 because the answer to the expression is 0.2b. does not have a value between 0 and 1 because the answer to the expression is 177147c. has a value between 0 and 1 because the answer to the expression is 0.00097656d. has a value between 0 and 1 because the answer to the expression is 0.02040816...

Define Complementary and Supplementary Angles.

Answers

Answer:

Complementary angles: the angles whose sum is 90° are called complementary angles.

Supplementary angles: the angles whose sum is 180° are called supplementary angles.

Step-by-step explanation:

hope it might help....

If m = 3 and b = 6, what is the correct slope intercept equation?
a. y = 3 - 6.
b. y = 3x - 6.
c. y = 3x + 6.
d. y = 6x + 3.

Answers

The answer is c because y=mx+b

Find the zeros of f(x) = -x + 9x – 18.

Answers

Answer:

x=2.25

x= 9/4 x=2 1/4 x= (3/2)^2 these are all possible answers in different forms.

Step-by-step explanation:


Solve using standard algorithm 7.3+2.8

Answers

the answer should be 10.1

is -7 greater than -4​

Answers

No you’re welcome :)

Answer:

no

Step-by-step explanation:

-7 is smaller than -4 because the farther down the negative part of the number line, the "smaller" it gets

3^2 – 2:3+ x = (3^3 – 3.8) (2) + x

Answers

Answer:

x+46.4

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve 2s^3 - 4r^2 = if r = 1 and s = 5

Answers

The Value of the expression 2s³ - 4r² by substituting the given values into the expression is 246

Given the equation ; 2s³ - 4r²

Value of r = 1 ; value of s = 5

To solve, substitute the values of r and s into the equation :

2(5)³ - 4(1)²

2(5 × 5 × 5) - 4(1 × 1)

2(125) - 4(1)

250 - 4

= 246

Therefore, the final value of the expression by substituting the value of r and s as 1 and 5 respectively is 246

Learn more : https://brainly.com/question/23774048

if α,β are the roots of the equation x^{2}-3x+2=0 form an equation whose roots are (α+β)² & (α-β)²

Answers

Solution:-

Let's find roots of x² - 3x + 2

=> x² - 3x + 2 = 0.

=> x² - x - 2x + 2 = 0.

=> x ( x - 1 ) -2 ( x - 1) = 0.

=> ( x - 1 ) ( x - 2 ) = 0.

=> x = 2, 1.

Now

( a + ß )² = (2+1)²=3²=9( a - ß )² = ( 2 - 1 )² = 1² = 1.

So , equⁿ would be ,

=> x² - ( 9 + 1)x + 9×1=0.

=> x² - 10x + 9=0.

if someone has 18 candy boxes then eats all 18 what do they have

Answers

Answer:

They have no more candy

Answer:

diabetes

Step-by-step explanation:

Find the distance from each vertex on the preimage ABC to the center of rotation p enter the values in the table do the same for each vertex on the other images

Answers

Answer:

Enjoy.

Step-by-step explanation:

school

Answer:

Step-by-step explanation:

the dots above are

4
16
56
PLEASE HURRY

Answers

Answer:

Equation 1

hope this helps

-2/5 x 5/9 Make it a fraction please!

Answers

Answer:

-2/9

Step-by-step explanation:

Multiply both fractions: -10/45 and then simplify: -10 divided by 5 =-2

45 divided by 5 = 9

so....     -2/5 x 5/9 = -2/9

38503.45 in standard form

Answers

Hey there!

ANSWER:[tex]38503.45[/tex]EXPLANATION:

38503.45 in standard form.

The decimal 38503.45 is already in standard form. Try multiplying [tex]38503.45[/tex] by [tex]10^0[/tex].

[tex]38503.45*10^0=38503.45\\38503.45(ANSWER)[/tex]

The answer is the same as the decimal. That is because it was already in the standard form.

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

the quotient of 24.5 ÷ 0.8 and 245÷8 is equal to?​

Answers

Answer:

Step-by-step expla

24.5 by 0.8 =30.625

245 by 8 = Exact form is =245/8

                  desimal from is = 30.625

                   mixed number form is = 30 5/8  

Write an algebraic expression for each verbal expression: 1.) The product of 5 and twice a number x, decreased by the product of 3 and that same number. 2.) Twice the sum of a number x, and another number y, increased by the product of the first number squared and 8

Answers

Answer:

1) (5 times 2x) - (3 times 2x)

2) x+y) times 2 + (x*2 times 8)

explanation:

for "times" put a multiplication sign and the astric ( * ) is for the exponent or meaning "to the power of"  :)

The first equation will be formed as:  [tex](5 times 2x) - (3 times 2x)[/tex]

The second equation will be performed as [tex](x + y) times\ 2 + (x*2 \ times 8)[/tex]

What is multiplication?

When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however other symbols like the "*" sign are also occasionally used.

1.) The composition of 3 and that identical number, multiplied by 5, lowered by the products of 5, and double that amount will be represented as (5 times 2x) - (3 times 2x)

2.) The product of the square root of the first variable and eight times a quantity x and a quantity will be represented as (x+y) times 2 + (x*2 times 8)

Learn more about multiplication, Here:

https://brainly.com/question/24327297

#SPJ2

Question 7
2 pts
Carlos is planning to buy a new video game. He checked the price for two
games that he would like to buy. The Super Mario game costs $56.48. The
Zelda game costs $38.99. Estimate how much money will Carlos save if he
buys the Zelda game. Explain how you rounded the numbers. Include an
equation to represent how you estimated.
Edit
Insert Format Tools Table
12pt
Paragraph
BI
U
T?
:

Answers

Answer:$15-$20

Step-by-step explanation:

56.48 is about 55 38.99 is about 40. 55-40 = 15

Someone please help whats the answer

Answers

x=3 hope it helped!!
The answer is A.) x=3
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