Write the equation of the line which has a slope of -5 and passes through (-4,4). Write the answer in slope-intercept

Answers

Answer 1

Answer:

y = - 5x - 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5, then

y = - 5x + c ← is the partial equation

To find c substitute (- 4, 4) into the partial equation

4 = 20 + c ⇒ c = 4 - 20 = - 16

y = - 5x - 16 ← equation of line


Related Questions

Which expression is equivalent to 3x5x5x5x5x5x5?

Answers

the answer is c. hope this helps

Which graphs represent functions with the following key features?

positive on ()
increasing on ()
approaches 0 as x approaches


Graph U
Graph V
Graph W
Graph X
Graph Y
Graph Z

Answers

Answer:

Graph U

Step-by-step explanation:

A graph is used to illustrate the relationship between variables.

For graph U:

Graph U is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph approaches 0 as x approaches -∞.

For graph V:

Graph V is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞.

For graph W:

Graph W is positive on (-∞, 0). The graph also increases on (-∞, 0). The graph approaches 0 as x approaches -∞.

For graph X:

Graph X is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞

For graph Y:

Graph Y is positive on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph approaches 0 as x approaches ∞.

For graph Z:

Graph Z is negative on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph is approaches 0 as x approaches -∞

WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.

Answers

Answer:

[tex]y=\frac{6}{5}x-5[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the two given points (0,-5) and (5,1)

[tex]m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}[/tex]

Therefore, the slope of the line is [tex]\frac{6}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{6}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{6}{5}x+b[/tex]

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

[tex]y=\frac{6}{5}x-5[/tex]

I hope this helps!

Answer:

y = 6/5x - 5

Step-by-step explanation:

To find the equation of a linear line you need 2 things: the slope and the y-intercept.

The slope can be found by taking two points and dividing the change in y by the change in x. Using the two points highlighted, the slope would be (1 - -5)/(5-0) = 6/5.

The y-intercept is where the line crosses the y-axis, which on this line is at -5. Then plug in this information into point slope form, y = mx + b, where m is the slope.

So you get y = 6/5x - 5.

Here is standard form too if you need this instead: 6x - 5y = 25

Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the total length of all of the yarn that she ends up cutting, y? Is the graph of the equation continuous or discrete?Which description is represented by a discrete graph?

Answers

Equation: y = 4x + 7.75

The graph is continuous

Step-by-step explanation:

Julie needs to cut 4 pieces of yarn,

Let x  represent the length of each yarn.

4x + 7.75

y represents the total length of all of the yarn that Julie decides to cut.

y = 4x + 7.75

Therefore the required equation that can be used to determine the total length of all of the yarn is:

y = 4x + 7.75

The graph is continuous because the amount of yarn that Julie decides to cut not need to be an integer amount.

hope this help's

Plzzz help last test of the year marking brainliest

Answers

Answer:

108

Step-by-step explanation:

Anty was riding his bike to school at a speed of 12 mph. When he was of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

Answers

Complete question:

Anty was riding his bike to school at a speed of 12 mph. When he was half of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

Answer:

His average speed is 19.2 mph

Step-by-step explanation:

Given;

speed of Anty to school half of the way, v₁ = 12 mph

speed of Anty when his mother drove him half of the way, v₂ = 48 mph

The average speed of Anty is calculated as;

[tex]V_{average} = \frac{Total \ distance }{Total \ time }[/tex]

The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.

Let the equal distance travel at each speed = 96 miles

Time taken at 12 mph = [tex]\frac{96 \ mile}{12 \ m/h} = 8 \ hours[/tex]

Time taken at 12 mph = [tex]\frac{96 \ mile}{48 \ m/h} = 2 \ hours[/tex]

Average speed = [tex]\frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph[/tex]

Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.

Check: let the equal distance traveled at each speed = 480 miles

Time taken at 12 mph = 480/12 = 40 hours

Time taken at 48 mph = 480/ 48 = 10 hours

Average speed = (480 + 480) / (40 + 10)

                          = 19.2 mph

Change the units up above to the correct answer from (a) to (d)

Answers

Answer:

Step-by-step explanation:

1 cm = 10 mm

a) 0.1 cm = 1 mm

1 mm = 1000 m

b) 25000mm = 25 m

1 g = 0.001 kg

c) 7g = 0.007 kg

1ml = 0.000001

d) 30000ml = 0.03 kl

Find the missing angle in this triangle

Answers

180-124-23= 33 because any triangle adds up to 180

Answer:

hope it helps

Step-by-step explanation:

124+23+x=180

x+147=180

x=180-147

x=33

Anyone help with this?

Answers

Answer:

3 degrees

Step-by-step explanation:

They are the same because they are on opposite sides of each other. If u look at the picture, angle a and b are the same size.

work out the answer of the given fractions 3/12+1/6=​

Answers

step one: create common denominator
3/12+1/6=3/12+2/12
step two: add numerators
3/12+2/12=5/12
step three: simplify if necessary
5/12 is already simplified
5/12 is the correct answer

If 8 subtracted from the product of 3 and a number the result is 10. Find the number

Answers

The number is 6

3•6=18
18-8=10

There is a 2-digit number. The sum of its ten digit and the unit digit is 10. Given the unit digit is 3, what is the 2-digit number

Answers

Answer:

7

Step-by-step explanation:

According to the Question,

Given, There is a 2-digit number, the unit digit is 3 & The sum of its tens digit, and the unit digit is 10.

Suppose The Number is XY .

Now, We Know X+Y=10 & Y=3 .

So, X+3=10 ⇔ 7 is the number on Tens Place.

And, the Number is 73 .

In the trapezium ABCD, AB= 4 cm, BC=9 cm, CD= 16 cm, BCD=90°.
Find AD.

Answers

Answer :

The value of AD will be 15 cm.

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

I need help on this question can anyone help?

Answers

Answer:

The answer is A. the range is the set of all real numbers

ava,jayden,edwina,lexi,luis, and trina are helping clean up a hiking trail during the summer. The trail is 10 miles long. Edwina, lexi, and luis plant a tree every 1/4 of a mile along the trail. Write and evaluate a division expression to find the number of trees they will plant.

Answers

Answer:

120 trees

Step-by-step explanation:

4x10=40

40x3=120

120 trees will be planted

Miami is building a ramp with a base of 4 feel and a vertical height of 2 feet what is the length of the ramp round to the nearest tenth

Answers

Answer:

2√5

Step-by-step explanation:

By applying Pythagoras (hypotenuse)^2=(Base)^2 +(Height)^2

What is the value of x?
2
to
64°
X =

Answers

Answer:

26

Step-by-step explanation:

64 + x = 90 ( whole part axioms )

x = 90 - 64

x = 26


Which number is equivalent to 43/12
A 3.583
B.
3.583
C 3.583
D 3.583

Answers

Answer:

The answer is 3.583, the 3 is repeating

Step-by-step explanation:

Answer:

3.583 ,with 3 as a reapting decimal

La velocidad maxima permitida en una autopista es de 120km/h. Se considera infraccion si se sobrepasa segun al rodar el 12% de esa velocidad. A que velocidad como minimo iba un conductor que cometio una infraccion

Answers

Answer:

La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:

134.5 Km/h

O si se desea un número entero:

135 Km/h

Step-by-step explanation:

Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:

Velocidad Máxima Permitida: 120 Km/hCausa de infracción: Sobrepasar el 12% de la velocidad máxima.

Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:

Velocidad límite antes de la infracción = 120 Km/h + (120 Km/h * 12%)Velocidad límite antes de la infracción = 120 Km/h  + 14.4 Km/hVelocidad límite antes de la infracción = 134.4 Km/h

Cómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.

What are the coordinates of V′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?

Answers

Answer:

(5;1)

Step-by-step explanation:

-3 means shift to the right

please help with the question above!!

Answers

I honestly don’t know at all lol

Answer:

5

Step-by-step explanation:

1+2+2+3+3+3+4+5+6+6+7+7

+7+8+9 = 73

73/15 = 4.86667

you add all the numbers and divide by how many numbers there were.

so round it up and it should be 5.

A laptop computer is purchased for $2050. After each year, the resale value decreases by 30%. What will the resale value be after 4 years?
Use the calculator provided and round your answer to the nearest dollar.
$

Answers

Answer:

492.205

$492

Step-by-step explanation:

2050/100 = ?/ 70 <- repeat four times changing 2050 to the new value.

The resale value of the laptop after 4 years will be approximately $492.

How to calculate the resale value?

To calculate the resale value "b" of the item after "n" years, we need to apply the annual decrease in value to the original price "a" for each year (n). We can do this using a loop or by using a formula.

b = a x (1 - decrease rate)ⁿ

As per the question, the old value is $2050, the decrease rate is 30%, and the number of years is 4. Plugging these values into the formula gives us:

new value = $2050 x (1 - 0.30)⁴

Simplifying this expression gives us:

new value = $2050 x 0.70⁴

new value = $2050 x 0.2401

Which simplifies to:

new value = $492.205

Rounding this result to the nearest dollar gives us $492.

Therefore, the resale value of the laptop after 4 years will be approximately $492.

To learn about the markup rate click here:

brainly.com/question/11999225

#SPJ2

Find the volume of a rectangular prism with the following dimensions:
Length = 5 ft
Width = 4 ft
Height = 10 ft
210 ft3
220 ft3
190 ft3
200 ft3

Answers

Answer:

The answer is D, 200

Step-by-step explanation:

Since the formula for the volume of a rectangular prism is V = lwh, we multiple the length, width, and height together. This works for any rectangular prism.

V = lwh = 5 * 4 * 10 = 200

Answer:

200 ft3

Step-by-step explanation:

HELP I WILL GIVE brainly Est to whoever can answer.

Answers

Answer:

122

Step-by-step explanation:

Have a nice day :)

plz mark brainllest

B- 300° you add the 120 angle plus 180 bc half a circle is 180 and ur finding STR

Which equation is equivalent to
y-1= 5(x+2) ?

Answers

Step-by-step explanation:

We can simply by opening the brackets ,

=> y - 1 = 5( x - 2 )

=> y - 1 = 5x - 10

=> y - 5x = -9

=> 5x - y + 9 = 0

Please help i'm struggling with this!It's urgent!

Answers

Answer:

Step-by-step explanation:

Dilation

Based on the figure, select all true equations.
0

A.cos(42) =
B. cos(48) =
C. sin(42) =
D. sin(48)
E. tan(42) -

F. tan(48) =

Answers

Answer:

sin c

Step-by-step explanation:

Based on the figure, The true equations are, B. cos48° = b/c,

C. sin42° = b/c, E. tan42° = b/c and F. tan48° = a/c.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

We know, The sum of all the interior angles in a triangle is 180°.

So, The m∠B = 180° - 90° - 48° = 42°.

Now according to reference angles, we'll obtain the trig ratios.

cos42° = a/c.

cos48° = b/c.

sin42° = b/c.

sin48° = a/c.

tan42° = b/c.

tan48° = a/c.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ7

find the complement of 63°​

Answers

Answer:

63=90-63= 27

Bye

PLS HELP Find the value of x.
A. 30
B. 15
C. 45
D. 6

Answers

Answer:

B.

[tex](3x - 15) -(45 - x) = 0 \\ 4x -60 = 0 \\ 4x = 60 \\ x = 15[/tex]

How fast can you screw 800 nails in 60 different random locations​

Answers

How ever fast u can move ig
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