Write an equation of the line that passes through the given point and is parallel to the given line.
(4, 3); y = –x + 5

Answers

Answer 1

Remember that the standard form of a line equation is y = mx + b.   Since you need a line that is parallel to y = 5x - 2, the first thing to do is use the same slope (m), which is 5 in this case.

The new line would look like this:  y = 5x + b.  I use "b" instead of -2, since we'll calculate a "b" for the new line by substituting the given point of (2, -1) into y = 5x + b.

 -1 = 5*(2) + b

 b = -11  

The parallel line that goes through (2,-1) is y = 5x - 11

The new line is the blue, on the right.  Note that it is parallel to the original (green) line and also intersects at  (2, -1).  (Each chart is is 0.5 unit).

Answer 2

Answer:

Remember that the standard form of a line equation is y = mx + b.   Since you need a line that is parallel to y = 5x - 2, the first thing to do is use the same slope (m), which is 5 in this case.

Step-by-step explanation:


Related Questions

URGENT PLEASE! Choose the function who graph is given by:

Answers

Answer:

D.

Step-by-step explanation:

this is the graph of tan x translated pi units to the  right and translated 2 units up.

what is 6/10 as hundredths in fraction form and in decimal form

Answers

Answer:

Hundredths: [tex]\frac{6}{10}[/tex]

6 × 10 = 60 & 10 × 10 = 100

(multiply both the numerator and denominator by 10)

Decimal: 0.6

6 ÷ 10 =

good luck, hope this helps :)

(PLEASE ANSWER ASAP FOR BRAINILEST! EXPLAIN YOUR REASONING PLEASE) I bought 1 pound of grapes for $3.75. I bought 4 pounds of strawberries for $15.63. Which is least expensive per pound? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

All you have to do is divide 15.63 by 4. That way you will find out how much it costs for 1 pound of strawberries.

15.63 divided by 4 = 3.9075 ( I would round it but you don't have to.

Now look at the first 3 number for both prices

Grapes: $3.75

Strawberries: $3.90

Now you see which is less expensive ( grapes ). Now finish with a statement!

Hopefully that helps any more questions lmk!

A shirt is on sale for $15.75. This is 15% off the original price. What was the original price of the shirt?

$18.11

$13.39

$17.25

$18.53

Answers

Divide sale price by (1 - percent of discount):

15.75 / (1- 0.15) =

15.75 / 0.85 = 18.53

Answer = $18.53

Answer:

18.53

Step-by-step explanation:

18.53*0.15≈2.7795

Rounded = 2.78

18.53-2.78=15.75

In ΔQRS, s = 860 inches, q = 240 inches and ∠R=144°. Find the length of r, to the nearest inch.

Answers

Answer:

1064

Step-by-step explanation:

Answer: 1064

Step-by-step explanation:

May someone please help me out? Please show full steps ♡´・ᴗ・`♡

Answers

Answer:

Step-by-step explanation:

METHOD 1

in centre it is split by 4, each angle is equal.

in a square angles add up to 360°

360/4=90°

∴∠DOC=90°

if you have to do more work or have toexplain more, or you dont get that way there is another method:

METHOD 2

since ABCD is a square it alladds up to 360°

so ∠A=B=C=D=90°

in triangle DOC anles add up to 180°

each diagonal cuts angleA,B,C and D in half

so in triangle DOC, ∠ODC=∠CDO=45

∠DOC=180-∠DOC-∠CDO       (or 180-(∠DOC+∠CDO)

∠DOC=180-45-45

∠DOC=90

Aysha’s new bike has 26 inch diameter wheels. What is the circumference of her new wheel? Give your answer correct to 1 decimal place.

Answers

Answer:

81.6 inches is the circumference

Step-by-step explanation:

Circumference is π times diameter.

We can use a common value of π, 3.14

3.14 × 26 = 81.64

Round to 81.6 inches

please help fast !!!!!!!!!!!!!!

Answers

Answer:

(4 , 5)

Step-by-step explanation:

Trapezoid JKLM

Translation

Point M'

_______________

In this question, we are asked to focus on point M if it were moved to a different area. So look at M only, now, it states that its moved 7 units to the left and 2 units up, refer to the graph below to reach your answer.

help!!!!! plz! this is suppose to be done in a short time

Answers

Answer:

y=-4/3x

Step-by-step explanation:

Can someone please help mehh

Answers

8.5, you follow a^2+b^2=c^2 since it is a right triangle

Answer: b = 7.4 yards

Step-by-step explanation:

In a right angle triangle, the length of each base squared added together is equal to the hypotenuse squared (Pythagorean theorem written as a^2 + b^2 = c^2)

The bases are b and 3 and the hypotenuse is 8

b^2 + 3^2 = 8^2

b^2 + 9 = 64

b^2 = 55

the square root of 55 is approximately 7.4

If gdp is $20 trillion how many years will it take for a gdp to increase to 80$ trillion if growth is 7 percent

Answers

Answer:

19. 8 years

Step-by-step explanation:

Using the exponential growth function :

A = Pe^rt

A = final amount or growth unit

P = initial or present growth unit

Rate, r = growth rate

80 = 20e^0.07t

80/20 = e^0.07t

4 = e^0.07t

Take In of both sides

In(4) = 0.07t

1.3862943 = 0.07t

t = 19.804205

t = 19. 8 years

David has 1,327.00 on his checking account. if he writes a check for 1,987.00, what will David's balance be​

Answers

The answer is negative 660    (-660)

En una fabrica de cajas se producen 356 cajas por semana.¿Cuantas cajas se producen por mes?

Answers

Answer:

1.424

Step-by-step explanation:

solo multiplica 356x4

- A card is selected at random from a
standard pack of playing cards and then
replaced. This is done 1,040 times.
How many times would you expect to get
the following cards:
(a) A red card?
(b) A King?
(C) The Queen of hearts?​

Answers

Step-by-step explanation:

a ). red cards = 26

then probability is = no. of outcomes / total no. of outcome

p ( red card ) = 26 / 1040

p ( red card ) = 1 / 40

b ) kings = 4

p ( kings ) = 4 / 1040

p ( kings ) = 1 / 260

c ) queen of hearts = 1

p ( queen of heart ) = 1 / 1040

dau coroană pe că o să mă ajute un român și mă ajută în engleză sau germană sau așa e bine Sper să îmi răspundeți mai repede că trebuie să fac cât mai repede tema și vorbim când ne răspundeți ​

Answers

Answer:

hii baby

how are you

can you be my friend

Juanita has an aquarium that is 5 feet long, 4 feet wide, and 2 feet deep. What is the volume of the aquarium? Enter your answer in the box.

Answers

Answer:

40 cubic feet

Step-by-step explanation:

Aquarium is in the shape of rectangular prism.

Volume = length * width * depth

Volume of the aquarium = 5 * 4 * 2

                                         = 40 cubic feet

Marisa’s mother is driving her to a doctor’s appointment in a town 75 mi. away. If they travel at a constant rate of speed of 50 mph, how long will it take to get to the doctor’s office? A. 1 hr. B. 1.5 hr. C. 2.5 hr. D. 3 hr.

Answers

Answer:

B) 1.5 hr

Step-by-step explanation:

75 miles/50 mph = 1.5 hrs

Answer:

B.1.5

Step-by-step explanation: We can already add 1 hour to the answer since 75 minus 50 would be 25. Next, we know that 25 is one half of 50 so that would result in us adding half an hour or 0.5. Now we can add. 1 plus 0.5 results in 1.5

Dale plows his field at a constant rate of 18 mph. If Dale plows for 6 hours, how many miles of his field did he cover? A. 3 mi. B. 18 mi. C. 68 mi. D. 108 mi.

Answers

Answer:

108

Step-by-step explanation:

If Dale has a constant rate that means no matter how many hours, every hour he mows he will mow 18 miles. He mowed for 6 hours, so all you have to do is multiply 6*18, and your answer is 108 miles.

Answer:

a

Step-by-step explanation:

18 divded by 6 is 3

y = x^2+ 2x + 3
2y - 2x = 10


(Solving the following system of equations)

Answers

Answer:

It would be (1,6), (-2,3)

x=1, y=6

x=-2, y=3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

1:Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2:Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3:Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4:Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
5:Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

Answer:

Answer:

1.) the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  

4.) graph down below

5.) the profits are the same (slope) but the y intercept is higher then the original graph.

6.) y=-2/3x+300

Step-by-step explanation:

some of these are part of the problem as well.

1.)  2x+3y=1,470  

3y=-2x+1,470

-2x+1,470/3

-2/3x + 490

y=-2/3x + 490

the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  

5.) 2x+3y=1,593

3y=-2x+1,593

y=-2/3x+531

the profits are the same (slope) but the y intercept is higher then the original graph.

6.) (150, 200) (300, 100)

y intercept= 300

m= 100-200/300-150 = -100/150 = -2/3

y=-2/3x+300

this was a question from a while ago but I thought I would answer it anyways, hope its right and hope it helps you! <3

HELPPPPPP ASAPPPP PLSSSS

Answers

Answer:

a. 43

Step-by-step explanation:

This question is asking how much candy he had initially.

This means that t = 0 days

Thus anything to the power of 0 is just 1.

Hence: 43 x 1 = 43 candies

Can someone help me with this

Answers

Answer:

use distance formula

Step-by-step explanation:

enter each set of points into distance formula, find distance then sum all sides

You are making a plan to paint your bedroom walls. Describe the shape of your bedroom and how you can use the geometry formulas to calculate how much paint that you will.

Answers

Answer:

we can use the formula of area of four wall

and the cost of painting the wall

Which situation would best be modeled by the direct variation y = kx?

Answers

Answer:

y is directly proportional to x

Step-by-step explanation:

if y is directly proportional to x it has to have a constant which is k

Answer:

The amount of money you make for working x hours at k dollars per hour.

Step-by-step explanation:

I put this so, It going to be right.

Pleaseee helpp answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

So you have to add all the numbers to get the perimeter or the outside distance but it looks like t and s is there a few times so that’s were you have to simplify.
So here’s the answer simplified
4t+2s+w+v+x+u
Good luck!

What is the value of y?

Answers

Corresponding Angles Theorem:
2y = 58
Divide both side by 2
y = 29 degrees

Pa tulong po pleasee

Answers

Answer:

1. 7

2. 54÷2=27

only this I know please put brainlest

Answer:

1.x+5=12

2.2x=54

Fernando had to pay $1.40 in sales tax when he purchased a shirt . If the sales tax rate is 7% how much did his shirt cost

Answers

Answer:

$20

Step-by-step explanation:

Work backwards so Price(.07) = $1.40 so x (.07) = 1.40, solving for x then

x = 1.4/.07 so x = 20

The cost of the shirt of Fernando is $20.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Fernando had to pay $1.40 in sales tax when he purchased a shirt . The sales tax rate is 7%.

The cost of the shirt is calculated as,

$1.40 =  x (.07)

x = 1.4/.07

x = $20

Therefore, the cost of the shirt of Fernando is $20.

To know more about an expression follow

https://brainly.com/question/25748136

#SPJ5

12
Type the correct answer in each box.
Winston used his past health history and Information about his doctor visits to create this table to compare health costs with and without
insurance
Cost without Insurance
Description of Service
Probability of Needing
the Service
Cost with Insurance
Plan
Plan
100%
$1,580
$0
annual premium
45%
$125
$1,750
five doctor visits
7596
$75
medication
$325
What is the expected value of each option?
The expected value of health care without insurance is $
The expected value of health care with Insurance is $

Answers

Answer:

W/O insurance: 235.50

with insurance: 1597.94

Step-by-step explanation:

10. Logan places a mirror on the floor 220 cm from the base of a wall. He holds a flashlight 130 cm above the ground and shines the beam onto the mirror. How far must Logan stand back from the mirror so that the height at which the light shines on the wall is 100 cm greater than the height at which Logan holds the flashlight?

Answers

Answer:

124.35 cm

Step-by-step explanation:

Step by step solution in the attachment

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