A coordinate plane with a line passing through the points (negative 4, negative 5) and (1, negative 1).
Write an equation in standard form of the line that is graphed. Then find the x- and y-intercepts.

The equation of the line in standard form is
.

The x-intercept is
.

The y-intercept is
.

Answers

Answer 1

Answer:

0.8x - y = -1.8, x-int = 2.25, y-int = -1.8

Step-by-step explanation:

(-4, -5) and (1, -1)

slope = [(-5) - (-1)] / [(-4) - 1] = -4 / -5 = 4/5 = 0.8

Let y = 0.8 x + b

Sub (-4, -5) into it

-5 = 0.8 * (-4) + b = -3.2 + b

b = -5 + 3.2 = -1.8

The equation is y = 0.8x - 1.8

standard form: 0.8x - y = -1.8

let y = 0, 0.8x - 1.8 = 0

x = 1.8/0.8 = 2.25   (x-intercept)

let x = 0, y = -1.8    (y-intercept)


Related Questions

A baby cardinal weighs about 4.3 grams at birth. After 4 days it is 3.4 times as heavy. How much does it weigh after 4 days?

Answers

It would be 14.62 I thinks

simplify 4a²+1/3a+5+a²+4+1/3a

Answers

Answer:

[tex]5a^2+\frac{2a}{3} + 9[/tex]

Step-by-step explanation:

Refer to file. Trying something different. Should be easier to read than text format and is easier than mathML.

• Riley and her sister collect stickers. Riley has 220 stickers
in her sticker collection. Her sister has 55 stickers in her
collection. Riley has how many times as many stickers as
her sister? Use mental math or the guess, check, and
revise strategy to solve the equation 55x = 220.

Answers

Answer:

Riley has 4 times the amount of stickers her sister has

Step-by-step explanation:

220 divided by 55 is 4

What is the solution to the equation below. square root x - 6 = x - 12

Answers

[tex]\\ \rm\hookrightarrow \sqrt{x-6}=x-12[/tex]

[tex]\\ \rm\hookrightarrow x-6=(x-12)^2[/tex]

[tex]\\ \rm\hookrightarrow x-6=x^2-24x+144[/tex]

[tex]\\ \rm\hookrightarrow x^2-25x+150=0[/tex]

[tex]\\ \rm\hookrightarrow x^2-10x-15x+150=0[/tex]

[tex]\\ \rm\hookrightarrow (x-10)(x-15)=0[/tex]

[tex]\\ \rm\hookrightarrow x=15\:or \:10[/tex]

Answer:

[tex]x = 15,10[/tex] || C and D is the correct choices.

Step-by-step explanation:

[tex]\sqrt{x-6}=x-12[/tex]

[tex]x-6 =(x-12)^2[/tex]

[tex]x-6 = x^2 -24x +144[/tex]

[tex]x^2 -24x -x +144 +6 = 0[/tex]

[tex]x^2 - 25x + 150= 0[/tex]

[tex]x^2 -15x -10x +150=0[/tex]

[tex]x(x-15)-10(x-15)=0[/tex]

[tex](x-15)(x-10) = 0[/tex]

[tex]x = 15,10[/tex]

The length of three snakes exhibited and the zoos reptile house are labeled. The king snake is 65 inches. The Easter diamondback rattlesnake is 2 yards. The ridge nosed rattlesnake is 4 feet. Which statement correctly compares the length of the snakes?
A. The king snake is the longest snake.
B. The ridge nosed rattlesnake is longer than the eastern diamondback rattlesnake.
C. The eastern diamondback rattlesnake is the longest snake.
D. The eastern diamondback rattlesnake is shorter than a king snake.

Answers

Answer:

C

Step-by-step explanation:

King Snake: 65 inches / 12 inches per foot = about 5.4 feet long

Eastern Diamondback Rattlesnake: 2 yards * 3 feet per yard = 6 feet long

Ridge Nosed Rattlesnake: 4 feet long

Therefore, the eastern diamondback rattlesnake is the longest snake.

a submarine is 75 m below the surface of the sea.it than rises. y 21m.how far below the surface is it now​

Answers

The submarine is about 54 meters below the surface.

Equation

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the height of the submarine. Hence:

y = -75 + 21 = 54 meters

The submarine is about 54 meters below the surface.

Find out more on Equation at: https://brainly.com/question/2972832

MAX POINTS!
Find the area of a triangle bounded by the y axis, the line f(x)=10-3/4x, and the line perpendicular of f(x) passes through the origin.

Answers

Answer:

[tex]\frac{200}{3}[/tex] square units

Step-by-step explanation:

Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:

Set function equal to 0 and solve for x:

f(x) = 10 - [tex]\frac{3}{4}[/tex] x

0 = 10 - [tex]\frac{3}{4}[/tex] x

[tex]\frac{3}{4}[/tex] x = 10

x = [tex]\frac{40}{3}[/tex]

This means that the base length of the triangle is also  [tex]\frac{40}{3}[/tex]. Now that you have the height and base length, you can

Plug values into the formula for the area of a triangle:

The area of a triangle is [tex]\frac{1}{2}[/tex] × height × base

Height = 10, base = [tex]\frac{40}{3}[/tex]

Area = [tex]\frac{1}{2}[/tex] × 10 × [tex]\frac{40}{3}[/tex]

Area = 5 × [tex]\frac{40}{3}[/tex]

Area =  [tex]\frac{200}{3}[/tex]

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the Quadrilateral. Show your work. ( Please do not repaste another students answer on brianly or another other websites). Only answer if your 100% correct and you'll get Brainliest . ​

Answers

Answer:

A = 92°

B = 100°

C = 88°

D = 80°

Step-by-step explanation:

Cyclic quadrilateral : a quadrilateral drawn inside (inscribed) a circle.

The opposite angles in a cyclic quadrilateral add up to 180°.

Therefore, A + C = 180° and B + D = 180°

If A + C = 180° , then

⇒ (x + 2) + (x - 2) = 180

⇒ x + 2 + x - 2 = 180

⇒ 2x = 180

⇒ x = 90°

Therefore,

A = x + 2 = 90 + 2 = 92°

C = x - 2 = 90 - 2 = 88°

D = x - 10 = 90 - 10 = 80°

B = 180 - D = 180 - 80 = 100°

Alissa ownes a lovely country store. She buys 6 jars of honey for $65 and then sells 5 jars for $72. How many jars would Alissa have to buy and then sell to make a profit of $214?

Answers

Answer:

60 or y=4×+6

Step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solution.

The accompanying data represent the wait time​ (in minutes) for a random sample of forty visitors to an amusement park ride. Complete parts​ (a) and​ (b).

Answers

Step-by-step explanation:

 So basically when you have to calculate the quarters you need to first of all the data. So this modern number first and then so in this case will be 000 and so on. Then you have to find the position. So in this case you have Around 40 value. So In this case for example the first one will be the 10th value in this case. Day 20th In this case the 30th. So for example 25% of the data of the first party will be until six. So you know 25% of the others will be six or below six. 50% of the data will be in the 20th position. So it will be below nine Or nine and 75% of data will be below or equal to 16. 16. Anything couple of 16 will be in the top 25% and those are dancers. So this is a quick summary. Remember that you find these values When you calculate the 75% position. That in this case because you have 40 values that will be 30%. For the second quarter will be the 50% and for the first quarter will be the 25%. How do you know that? 1st? You need to sort all the data. So the first smallest bodies will be here from smaller to larger and then you find the relative position paid on this percentage.

3. The sum of two numbers is at least 8, and the sum of one of the numbers and 3 times the
second number is no more than 15.
Graft

Answers

Answer:

Nope

Step-by-step explanation:

Sum of 2 numbers 4 +4 is at least 8 and the sum of of one of the numbers 2 + 2 and 2 + 3 x4. = 14

How to find value p and q​

Answers

Answer: (p, q) = (3, 2)

Step-by-step explanation:

So we get that g(f(x)) = p(1-x)^2 + q = p(x^2 - 2x + 1)+q = px^2 - 2px + p+q.

Matching coefficients, we get that p=3, -2p=-6, and p+q=5.

It follows that p=3 and q=2.

PLEASE SHOW WORK I WILL GIVE BRAINLY Kira's skateboard is 71 centimeters long. What is the length of her skateboard in millimeters? SHOW YOUR WORK PLEASE

Answers

Answer:710

Step-by-step explanation:

1 centimeter is 10 millimeters so 71 times 10 is 710

Answer:

710mm

Step-by-step explanation:

1 centimeter is equal to 10 millimeters:

[tex]1cm=10mm[/tex]

The distance d in millimeters (mm) is equal to the distance d in centimeters (cm) times 10:

[tex]d_{mm} =d_{cm}*10[/tex]

71cm × 10

= 710mm

2/3+1/4 in simplest form

Answers

Hey there!

2/3 + 1/4
= 2 × 4/3 × 4 + 1 × 3/4 × 3

= 8/12 + 3/12

= 8 + 3 / 12 + 0

= 8 + 3 / 12

= 11/12


Therefore, your answer is: 11/12


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

PLSSS HELP DO 2.4.6 I will GIVE BRAINLIST ITS DO TMR

Answers

Answer:

2) 13/15

4) 11/12

6) 11/12

Answer:

#2)

To add fractions, we have to find the common denominator between the two fractions. For this one, it is 15; 5 has the least common multiple of 15 which shares with 3. So in order to make the first fraction have the denominator of 15, we have to multiply the numerator and the denominator by 3. We get 3/15. For the second, we have to multiply the numerator and denominator by 5. We get 10/15. Now that we have fractions with the same denominators, we just add the numerators together and then simplify. 3 + 10 = 13.

1/5 + 2/3 = 13/15

#4) & #6)

Repeat the above steps for each fraction to solve.

4)  11/12

6)  11/12

Gabriels spent $83.97 on three jackets. Each jacket costs the same amount. Write an algebraic equation to show the cost of one
jacket.

Answers

Total cost = number of jackets bought x price per jacket.


83.97 = 3x

Divide both sides by 3

X= 83.97/3

X = 27.99


price per jacket = $27.99

need help!?!!! pls thx

Answers

The answer is non linear.

the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour. What is the radius, in inches, of the wheels of the truck

Answers

The radius of the wheel is 140.06 inches

Since the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour, we need to find the distance mover per revolution.

Distance moved per revolution by wheel

So, distance moved per revolution = speed of truck ÷  revolutions per minute

Speed of truck = 50 miles per hour

Converting to inches per min, we have

= 50 × 63360 in/hr ÷ 1 hr/60 min

= 3168000 in/60 min

= 52800 in/min

revolutions per min = 60 rev/min

So, substituting the variables into the equation, we have

distance moved per revolution = 52800 in/min ÷ 60 rev/min

= 880 in/rev

Circumference of the wheel

Since the distance moved per revolution is the circumference of the wheel, C we have that

C = 2πr where r = radius of wheel

Radius of the wheel

Making r subject of the formula, we have

r = C/2π

Since C = 880 in

Substituting the value of the variable into the equation, we have

r = C/2π

r = 880 in/2π

r = 440 in/π

r = 140.06 in

So, the radius of the wheel is 140.06 inches

Learn more about radius of wheel here:

https://brainly.com/question/24463763


Lura’s chocolate bar is 71% cacoa. If the weight of the chocolate bar is 58 grams, how many grams of cocoa does it contain? Round your answer to the neares
tenth

Answers

58*0.71= around 41.2 grams of coco. This is because we can multiply to get this.

Please like and brainiest if correct!

Mahra walks 5/8 of a kilometer to school. Mariam walks 3/8 of a kilometer to school.
How much farther does Mahra walk than Mariam?

Answers

Answer:

2/8 farther than Mariam

Step-by-step explanation

mahra walks 5/8 km

Mariam walks 3/8 km

therefore, to know how many km mahra walks farther than mariam.

5/8-3/8

Mahra walks 2/8 of a kilometer more!
5/8 (Mahra's distance) - 3/8 (Mariam's distance)

PLZ HELP ILL MARK AS BRAINLIETS

Answers

Answer:

45ft²

Step-by-step explanation:

4 [ 2(6ft × 1.5ft) ÷ 2 ] + ( 3ft × 3ft )

= 4 [ 2(9) ÷ 2 ] + ( 3ft × 3ft )

= 4 [ 18 ÷ 2 ] + ( 3ft × 3ft )

= 4 ( 9 ) + ( 9 )

= 36 + 9

= 45ft

what is NE? Enter your answer in the box

Answers

Do you mean north east? If it is something else comment below..

if the original quantity is 460 and the new quantity is 600 ​, what is the percent​ increase

Answers

I believe it is a 30.5% increase

18. What is the surface area of a sphere with a radius of 6 meters rounded to the nearest square meter? 226 m- D 905 m 113 m- 50 m​

Answers

Answer:

452 m^2

Step-by-step explanation:

Formula

A=4πr^2

4·π·6^2≈452.38934

Need help! I’m confused so pls answer ASAP!

Answers

Answer:

oh shoot just do what you do to find the angles. all of them add up to 180 degrees

Step-by-step explanation:

find the domain and range
answer correctly​

Answers

Answer:

Domain: all real numbers

Range : y ≤ 2

Step-by-step explanation:

Domain : the set of possible x-values

Range : the set of y-values

From inspection of the graph:

Domain : all real numbers (no restriction)Range : y ≤ 2 (greatest value of y is 2)

Kim says that multiplying 1/4 x 12 is the same as dividing 12 by 4.Do you agarre with kim?

Answers

Answer:

I do not agree with Kim.

Step-by-step explanation:

1/4 x 12 = 3

12 x 4 = 48

3 and 48 are not equal, therefore they are not the same, so I do not agree with Kim.

Hope this helps:)

plsss help!!!!! #5 #6​

Answers

Step-by-step explanation:

#5

Area of parallelogram:

A = bh = 4*5 = 20 in²#6

Area of trapezoid:

A = 1/2(b₁ + b₂)h = 1/2(6 + 14)*8 = 80 in²

[tex]\bold{\huge{\blue{\underline{ Solution \:5 }}}}[/tex]

We have given ,

The height of the parallelogram and the base of the parallelogram is 5in. and 4 in.

We know that,

[tex]\sf{\pink{ Area\: of\: parallelogram = Base × Height }}[/tex]

[Parallelogram is a polygon which having opposite sides parallel to each other and the length and breath of the parallelogram are equal ]

Subsitute the required values in the above formula :-

[tex]\sf{ Area\: of\: parallelogram = 4 × 5 }[/tex]

[tex]\sf{ Area\: of\: parallelogram = 20 in. }[/tex]

Hence, Area of parallelogram is 20 inch

[tex]\bold{\huge{\blue{\underline{ Solution\: 6 }}}}[/tex]

We have given here,

The height of the trapezium is 8 in and the length of 2 parallel side is 6 in. and 14 in.

We know that,

[tex]\sf{\pink{ Area\: of\: trapezium = 1/2 ×(a + b) × Height }}[/tex]

[Trapezium is figure that having two parallel sides and 2 non - parallel sides. ]

Subsitute the required values in the above formula :-

[tex]\sf{ Area\: of\: trapezium = 1/2 ×(6+14)×8 }[/tex]

[tex]\sf{ Area\: of\: trapezium = 1/2 × 20 × 8 }[/tex]

[tex]\sf{ Area\: of\: trapezium = 10 × 8 }[/tex]

[tex]\sf{ Area\: of\: trapezium = 80 in. }[/tex]

Hence, Area of trapezium is 80 inch.

Determine the constant rate of change (slope) of the linear function.
The car, originally valued at $12,975, has been decreasing in value at a constant rate over the past seven years. It is now worth $8600.

Explain what it means in this context.
The change in value (in dollars) will be (x) times as great as the change in the car's age (in years)

Answers

Answer:

y = 12975 - 625x

Step-by-step explanation:

The ordered pairs are:

(0, 12975) and (7, 8600)

Find the slope:

(8600 - 12975)/7 = -625

It means the drop in price is $625 each year.

The equation to reflect this situation is:

y = 12975 - 625x

Sofia's poster is 0.75 meters long. Rafael's poster is 0.35 meters less than 1 meter long.

What expression would show the difference in the lengths of the posters?

Answers

Answer:

Length of Sofia's poster: 0.75 m

Length of Rafael's poster: 0.65 m

Difference: 0.75m - 0.65m

= 0.1 m

Hope this is correct

Mark as Brainliest please

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