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

What is -10(a + 2) and -4(4+3p) pls help

Answers

Answer: PLZ MAKE ME BRAINILIST

Step-by-step explanation:

-10(a+2) = -10a-20

-4(4+3p) = -12p-1

6) The sum of nine and half a number is thirty-three.

Answers

Answer:

Hey there!

9+x/2=33

x/2=24

x=48

The number is 48

Let me know if this helps :)

Leslie ran a total of 8 miles over the course of 4 track practices. How many miles would Leslie have ran after 5 track practices? Solve using unit rate.

Answers

Answer:

10 miles

Step-by-step explanation:

Find how much she runs during one track practice by dividing 8 by 4. This gives you the equation 2x, with x being the number of track practices.

Answer: 10 miles after 5 track practices.

Step-by-step explanation: Lets find the unit rate of this problem. Remember that unit rate means the denominator will always have a 1.

8/4 converted to a unit rate is 2/1

The unit rate is 2 miles per every 1 track practice.

We can use the unit rate to solve how many miles Leslie would have ran after 5 track practices.

2/1 x 5 = 10/5

So, Leslie would have ran 10 miles after 5 track practices.

combining like terms with negative coefficients and distribution
-4(2x-6)-5(3x+8) ?

Answers

Answer:

-23x-16

Step-by-step explanation:

-4(2x-6)-5(3x+8)

=-8x+24-15x-40

=-23x-16

Help! Answer in box is wrong

Answers

Answer:

are u in college?

Step-by-step explanation:

answer i got from m a t h w a y was 1

The wholesale price for a pillow is 7.50 . A certain department store marks up the wholesale price by 70% . Find the price of the pillow in the department store. Round your answer to the nearest cent, as necessary.

Answers

The price of the pillow in the department store is $12.75

The wholesale price of the pillow= 7.50

The store mark up price was increased by 70

The price can be calculated as follows

70/100 × 7.5

= 0.7 × 7.5

= 5.25

5.25 + 7.50

= 12.75

Hence the price of the pillow is $12.75

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7 students have 3 books each. Which helps you find the total number of books?

Answers

Answer:

21 Books in total

Step-by-step explanation:

If you just want the total number of books, here:

If each student has 3 books, and there are 7 students, we can create the equation: 7 * 3 :because this is showing that 7 people each have 3 books

7 * 3 = 21 so There are 21 books in total

Another we could write it is 3 + 3 + 3 + 3 + 3 + 3 + 3 because there are 7 students with 3 books each. Adding this up would equal 21.

Answer:

21 books in total

Step-by-step explanation:

If there is 7 students who have 3 books each, and want to find the total. The easiest way is multiply 7 with 3 to give you an answer of 21

Or draw a picture if it helps

Draw 7 stick figure and under it draw 3 books for them and count the books, still gives you 21

I think this is what you want

Can 65^ ,45^ and 80^ represent the measure of three angles of a triangle explain why or why not?

Answers

Answer:

No, because 65+45+80=190 and a triangle can only be 180

Step-by-step explanation:

5x – 12 > 2x + 6 Plz help.

Answers

Answer: I HOPE IT HELPS

Step-by-step ex

=

6

Explanation:

5

x

12

=

2

x

+

6

 

First, subtract  

2

x

from both sides of the equation:

5

x

12

 

 

2

x

=

2

x

+

6

 

 

2

x

3

x

12

=

6

Now add  

12

to both sides;

3

x

12

 

+

 

12

=

6

 

+

 

12

3

x

=

18

Finally, divide both sides by  

3

:

3

x

3

=

18

3

Therefore,

x

=

6xplanation:

Answer:

×<6

Step-by-step explanation:

here's the answer, have a good day! /(^-^)/

( i just used my calculator OwO )

Two landscaping companies made bids on the landscaping of a new apartment complex. Company A bid $595,000 for materials and plants and $204,000 for labor. Company B bid $660,000 for materials and plants and $136,000 for labor. How much lower was the bid made by Company B?

Answers

Answer:

$3,000

Step-by-step explanation:

Company A bid $595,000 for materials and plants and $204,000 for labor.

Total = $595,000 + $204,000 = $799,000

Company B bid $660,000 for materials and plants and $136,000 for labor.

Total = $660,000 + $136,000 = $796,000

The difference:

$799,000 - $796,000 = $3,000

Help me plz I don't understand this

Answers

Answer:

C) 6:1

Step-by-step explanation:

The second number must be a one.  To do that, it would have to be multiplied by 4.  That means we have to multiply the first number by 4 also:

3/2*4=6

So it’s 6:1

Algebra 1 9th grade
-2x=-18/3​

Answers

You would just decide both sides by 2.

-x = -9/3 ⇨ -3
Since both numbers are negative, the product becomes a positive.
x=3

Hope this helped!

What is the image point of (0,1) after a translation right 5 units and up 5 units

Answers

Answer:

5, 6

Step-by-step explanation:

Answer:

5,6

Step-by-step explanation:

which fraction has the greatest value 5/6 1/6 -1/6 -5/6​

Answers

Answer:

5/6

Step-by-step explanation:

The cost of 4 pounds of chocolate is $18.24. What is the constant
of proportionality that relates the cost in dollars, y, to the number
of pounds, x?
a. $18.24
b. $4.56
c. 4
d. Not Here
Help plss

Answers

I think it’s D not sure

Joel reads 3 books each month as part of his book club. After belonging to the book club for 7 months, how many books will Joel have read in all?

Answers

Joel reads 21 books in the span of 7 months

Answer:21

Step-by-step explanation:

The equation would be 3x

X being months he was on the book club so x would be 7

3(7)=21

alessialol I will add you back on snap and um I forgot y password to my other acc. so ya and whats the google classroom code?

sorry people but if you will just leave me alone bc im mad at some people

Answers

um ok.........................

4a-(a+6)=12-36 please help i am confused again lol

Answers

Answer:

a=6

Step-by-step explanation:

What is the slope of the line through (-7, -2) and (-6, 7)?



Answers

Step-by-step explanation:

shown the slope and equation

Which point-slope equation represents a line that passes through (3,-2) with a slope of -4/5
O y-3 =-4/5(x+2)
Oy - 2 =4/5(x-3)
Oy+2=-4/5(x-3)
O y + 3 = 4/5(x+2)

Answers

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question

the point is (3,-2) and slope - 4/5

The equation of the line is

[tex]y + 2 = - \frac{4}{5} (x - 3)[/tex]

Hope this helps you

The point-slope equation of the line is given by:

[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]

What is the point-slope equation of a line?

It is given by:

[tex]y - y_0 = m(x - x_0)[/tex].

In which:

m is the slope.[tex](x_0, y_0)[/tex] is the point.

The line that passes through (3,-2) with a slope of -4/5, hence the parameters are given by:

[tex]x_0 = 3, y_0 = -2, m = -\frac{4}{5}[/tex]

Thus, the equation of the line is:

[tex]y - y_0 = m(x - x_0)[/tex].

[tex]y - (-2) = -\frac{4}{5}(x - 3)[/tex].

[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

Mia is a competitive dart player. The graph below is a record of Mia's last three darts, where (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis is the center of the bullseye. 3 points on a coordinate plane. The point labeled, "Dart A," is at -3, -6. The point labeled, "Dart B," is at -7, 0. The point labeled, "Dart C," is at 5, -5. Graph units are in centimeters. What is the distance of Mia's farthest dart from the center of the bullseye? Round the final answer to the nearest tenth of a centimeter. Do not round intermediate calculations.

Answers

Answer:

7.1 cm

Step-by-step explanation:

Answer:

7.07 cm

Step-by-step explanation:

Use f(x)=-3/2x+11, g(x)=x^2-7x, and h(x)=|15-9x| to evaluate the function h(2/3)= ________

Answers

Answer:

The answer is nine

Step-by-step explanation:

The required solution of the  the function is 9.

It is required to evaluate the function.

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given :

Now the given function is,

f(x)= -3/2x+11

g(x)=x^2-7x

h(x)=|15-9x|

To evaluate the function

h(2/3)

Put x = 2/3 in h(x) we get,

h(x) = |15 - 9(2/3)|

h(2/3)= |15 - 18/3|

h(2/3)= |15 - 6|

h(2/3)= |9|

h(2/3)= 9

Therefore, the required solution of the  the function is 9.

Learn more about  function here:

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Solve graphically the inequality 2x + y >= 2​

Answers

Answer:

y>=2-2x

Step-by-step explanation:

hope this helps

4465/1000 in simplest form?

Answers

Answer:

893/200

Step-by-step explanation:

The GCM (greatest common factor) is 5

Divide both the numerator and denominator by 5

4465/5 = 893

1000/5=200

So the answer is 893/200

Fourteen decreased by twice a number equals -32. Write an equation for this equation and then find the number

Answers

Answer:

-32=2x-14

Step-by-step explanation:

-32=2x-14

-18=2x

-9=x

Answer:

2x-14 =-32

Step-by-step explanation:

x = 2x+9
Solve for X

Answers

Answer:

x=-9

Step-by-step explanation:

By isolating the variable, you can find the answer.

The answer for this question is x=-9

You really enjoy cooking and are planning on having friends over for dinner. You want to calculate how long it will take you to cook. You know you will need 10 minutes of prep time no matter how many guests come to dinner, and you will need 8 additional minutes per guest.

Answers

Answer:

Unfortunately I can't answer without more proper information

Step-by-step explanation:

Answer:

10 minutes no matter what

Step-by-step explanation:

it says "you want to calculate how long it will take you to cook. You know you will need 10 minutes of prep time no matter how many guests come to dinner, and you will need 8 additional minutes per guest.

Meaning it is going to sty at 10 no matter what

Please help ASAP T-T Will mark brainiest if you answer correctly and show all your work! Random answer will be reported. Thank you!

Answers

you graph is using the slope and y-intercept
the slope is 3/5
the y-intercept is (0,2)

Answer:

This is "vanessahu2007" 's another account. I answer this question in order to mark "eliamns" brainiest. Please do not report.

Step-by-step explanation:

Your air conditioner hasn’t been working properly, so you decide to set up an appointment to have it fixed. The repair company tells you that it costs $99 for a one time service fee plus $50 every hour. The technician came to your house and determined the drain was clogged. The total bill came to $549. Write an equation that represents this situation. (do not use any spaces in your equation & use the letter "x" to represent your variable)

Answers

Answer:

[tex]99 + 50x = 549[/tex]

Alternatively you can write it as;

[tex]50x - 450 = 0[/tex]

Step-by-step explanation:

One time service fee=$99

Rate of service=$50/hour

let unknown hours=x

Therefore the equation is

[tex]99 + 50x = 549[/tex]

or you can further simplify it to:

[tex]50x - 450 = 0[/tex]

And you can then solve for x to be 9 hours.

50 points PLSS HELP MEE!!!! What is the value of x in the equation 5x+3 - 4x? -3
- 17
3

Answers

Answer:

-3

Step-by-step explanation:

I believe it is

5x+3 = 4x

Adding -4x - 3 to both sides

5x +3 - 4x - 3 = 4x - 4x - 3

Simplifying

x = - 3

Answer is - 3

Answer:

x + 3

Step-by-step explanation:

5x + 3 - 4x

(5x - 4x) + 3

x + 3

Best of Luck!

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