What is the correct equation for the line in slope-intercept form?

What Is The Correct Equation For The Line In Slope-intercept Form?

Answers

Answer 1

Answer:

y=-5x+35

Step-by-step explanation:

The equation for a line in slope intercept form is y=mx+b, where m is the slope of the line and b is the y intercept, or where the line meets the y axis.

First, we should calculate the slope of the line. The slope of any line is rise over run. We can select any two points- I will select (6,5) and (4, 15).

We see that the rise is 10 units, because 15-5=10, and the run is -2 units, because 4-6=-2. We have rise over run which is 10/-2, or -5.

So, we find that the m value is equal to -5.

The y intercept is easier to find, it is just where the line meets the y axis. The lines meets the y axis at the point (0,35) so the y intercept is 35.

Thus we have the equation of the line is y=-5x+35.

Hope this helps!


Related Questions

translate 5x+7 ≥2 into a verbal sentence

Answers

Answer: The sum of five times a number and seven is greater or equal to two

Step-by-step explanation:

Hi, to answer this question we have to analyze the expression given:

5x is a multiplication, in this case five times the number x.

The symbol + represents a sum of two numbers.

≥ means greater or equal to ( left to right)

The sum of five times a number and seven is greater or equal to two

Feel free to ask for more if needed or if you did not understand something.

OVER HERE . What is 500 + 1500 - 1000 ?

Answers

BODMAS

500+1500= 2000
2000-1000=1000

Answer:

1000

Step-by-step explanation:

Evaluate g(f(-2)) for f(x)=3x-4 and g(x)=-2x+7

Answers

Step-by-step explanation:

work is pictured and shown

whats x^2-144=0?
subject factoring difference of squares
help​

Answers

Answer:

x = 12    x= -12

Step-by-step explanation:

x^2-144=0

This is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(x-12) (x+12) =0

Using the zero product property

x-12= 0  x+12 =0

x = 12    x= -12

Answer:

x = 12 or x = -12

reciprocal of -2/3^6

Answers

Answer:

The answer is -729/2

Step-by-step explanation:

What is the vertex of the quadratic function f(x) = (x-8)(x - 2)?

Answers

Answer:

The vertex is at (5, -9)

Step-by-step explanation:

The vertex is halfway between the zeros

f(x) = (x-8)(x - 2)

0  = (x-8)(x - 2)

x=8 and x=2 are the two zeros

(8+2)/2 = 10/2 = 5

The x coordinate is at 5

The y coordinate is found by substituting the x coordinate into the function

f(5) = (5-8)(5 - 2) = -3 (3) = -9

The vertex is at (5, -9)

What type of function is represented in the table?

Answers

Answer:

quadratic

Step-by-step explanation:

just took it on edge

NEED HELP ASAP DUE NOW HELPP!!! GIVING BRAINLIST

Answers

Answer:

-4,3,0,4.8

Step-by-step explanation:

Answer giving from left to right starting from top left.

Explanation shown in the attachment for articulating the inequality sign.

The solids are similar. Find the surface area S of the red solid.


Answers

Answer:

Surface area of the red prism is 1344 m².

Step-by-step explanation:

Ratio of the sides of the rectangular prisms given in the picture

= [tex]\frac{\text{Length of the red prism}}{\text{Length of the blue prism}}[/tex]

= [tex]\frac{6}{3}[/tex]

= [tex]\frac{2}{1}[/tex]

Ratio of the surface area of both the solids = (Ratio of the sides)²

[tex]\frac{\text{Surface area of the red prism}}{\text{Surface area of the blue prism}}[/tex] = [tex](\frac{2}{1})^{2}[/tex]

[tex]\frac{x}{336}=\frac{4}{1}[/tex]

x = 4 × 336

x = 1344 square meter

Therefore, surface area of the red prism will be 1344 m².

Casey can buy 3 sandwiches and 5 cups of coffee for $26. Eric can buy 4
sandwiches and 2 cups of coffee for $23. How much does one cup of coffee
cost?

Answers

Answer:

Step-by-step explanation:

4s + 2c = 23

3s + 5c = 32

System of equations?

Which chart could represent the function f(x)=-2x+6

Answers

Answer:

I think that answer is (4).

Explanation:

Since the slope is negative, as x increases, the function decreases. It also has a y-intercept at 6 so that would eliminate option 2 and 3. Option 1 would not work because the function is increasing.

I hope I helped you! Please mark me brainliest if I am correct. Thanks!

Answer:

option 4

Step-by-step explanation:

Because the slope is negative, as x increases, the function decreases. It also has a y intercept at 6 so that would cancel option 2 and 3. Option 1 would not work because the function is increasing.

It took Jenny and her family 1 hour to drive to her grandmother’s house. Her grandmother lives about 45 miles away. At what rate did the family travel?
pls help me

Answers

Answer:

i think that the answer would be like 1,0000000 if no idk what to tell you

Step-by-step explanation:

use the formula

speed = distance ÷ time

time change in mins

1 hours = 60 mins

speed = 45 ÷ 60

speed = 0.75

7 identical toys weigh 1.4 kg.
a) Convert 1.4 kg to grams.
b) What is the weight of one toy?
Give your answer in grams.
c) How much would 3 toys weigh?
Give your answer in grams.

Answers

Answer:

a] 1400 grams

b] 200 grams

c]600 grams

Step-by-step explanation:

1.4  x 1000=1400 grams

1.4 divide by 7 is 0.2 kg

0.2 x 3 = 0.6 x 1000=600 grams

Find the endpoint of the line segment with the given endpoint and midpoint.

Endpoint: (−2,−2)

Midpoint: (4,0)

Answers

Answer:

Endpoint A (10,2)

Step-by-step explanation:

                A(x,y)

Endpoint (-2,-2)

Midpoint (4,0)

(-2+x)/2=4,  -2+x=8,  x=8+2,x=10

(-2+y)/2=0, -2+y=0,y=2

so A (10,2)

Lena has been waiting all summer for her family's annual road trip. This year, they're headed to Yellowstone National Park. Lena just saw a sign that said the park is 10 miles away, so the drive is almost over. If Lena's father drives 50 miles per hour, how many more minutes will it take to reach the park

Answers

Answer:

it will take her family 12 minutes

Step-by-step explanation:

i hope this helps

what is the eighth multiple of 12​

Answers

Answer:

8 x 12 = 96!

Step-by-step explanation:

It is the same as 8 x 12, which would have the answer of 96.

the eighth multiple of 12 is 96

Solve for s.

15.32 − 8.4s = –9.65 + 14.3s

Answers

Answer:

s = 1.1

Step-by-step explanation:

To solve this, we will need to begin by isolating the variable. Move s to one side, and constants to the other.

15.32 - 8.4s = -9.65 + 14.3s

Add 8.4s to both sides, and 9.65 to both sides, giving us:

24.97 = 22.7s

Dividing both sides by 22.7 results in:

s = 1.1

So the right answer is 1.1

look at the attached picture

hope it will help you

good luck on your assignment

The volume of a cylinder can is 1.54 litre and area of base is 77cm^2 Find its height​

Answers

Answer:

The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :

[tex]v = 1.54 \: l[/tex]

[tex]v = 1540 \: {cm}^{3} [/tex]

[tex]v = \pi \times {r}^{2} \times h[/tex]

Let πr² be 77,

Let v be 1540,

[tex]1540 = 77 \times h[/tex]

[tex]77h = 1540[/tex]

[tex]h = 1540 \div 77[/tex]

[tex]h = 20 \: cm[/tex]

Find the missing angle x.

a.540°
b. 377°
c. 121°
d. 163°

Answers

Answer:

163°

...............

Answer:

163

Step-by-step explanation:

A rectangular field is 16m long and 10m wide
There is path of uniform width
around from outside it having area of 120 meters square. find the width of
path​

Answers

Answer:

path =2m

Step-by-step explanation:

Answer:

I believe the answer should be 2m

What system of inequalities is represented by the graph?

Answers

Answer:

y is greater than or equal to 0.5/2.5x-1/2

y is greater than -2x

Step-by-step explanation:

What the volume for each problem.Need help asap.

Answers

Answer:

See Below

Step-by-step explanation:

Pyramid of Gyza:

Base: 227m * 227m

Height: 150m

V=(LWH)/3

V=(227*227*150)/3

V= 7,729,350/3

V=2, 576,450 m^3

Temple of Kukulkan

Base: 55.7*55.7

Height: 29

V=(LWH)/3

V=(55.7*55.7*29)/3

V=89,972.21/3

V= 29,990.736 m^3

1/5x+1/3=4/3 what’s the answer

Answers

Answer:

X=5

Step-by-step explanation:

4/3-1/3=1

1  /   1/5x = 5

joe bbq sells bbq by the pound michelle buys 8.75 worth of sides and then she get six pounds of bbq if her total was is 40. 55 how much was each pound of bbq

Answers

First, we need to set up an equation.

6x + 8.75 = 40.55

Then, we use the equation to solve for how much a pound of BBQ costs.

To move 8.75 to the other side, we have to subtract 8.75 from both sides of the equation.

6x = 40.55 - 8.75

6x = 31.8

Next, we divide both sides by 6 to get the value of x.

6x/6 = x

31.8/6 = 5.3

Lastly, add the correct unit.

$5.3.

Therefore, the price per pound of BBQ is $5.30

Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the angle

Answers

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75

An amount of $37,000 is borrowed for 6 years at 5% interest, compounded annually. If the loan is paid in full at the end of the period, how much must be paid back?
Rounded answer please

Answers

Answer:  49583.54 dollars

==============================================================

Work Shown:

P = 37000 is the principal (aka amount loaned out)

r = 0.05 is the interest rate in decimal form

t = 6 is the number of years

n = 1 tells us we are compounding 1 time per year (aka annual compounding)

Those four values are plugged into the formula below and you use a calculator to simplify

A = P*(1+r/n)^(n*t)

A = 37000*(1+0.05/1)^(1*6)

A = 49583.538703125

A = 49583.54 is the full amount to pay back

Side note:

The amount of interest paid is A - P = 49583.54 - 37000 = 12583.54

Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2). (answer in slope-intercept form)

Answers

Answer:

y= -1/3x+3

Step-by-step explanation:

Old homework answers.

A farmer plants corn in 1/4 of his field.He plants white corn 3/5 of the corn section of his field.This situation is show in the model. What fraction of the whole field with white corn?

Answers

Answer:

The white corn section covers [tex]\frac{3}{20}[/tex] of the whole field.

Step-by-step explanation:

The statement indicates that section of the white corn is a portion within the corn section of the field. The statement can be interpreted as a multiplication of rational numbers. That is to say:

[tex]x = \frac{1}{4} \times \frac{3}{5}[/tex]

[tex]x = \frac{1 \times 3}{4 \times 5}[/tex]

[tex]x = \frac{3}{20}[/tex]

The white corn section covers [tex]\frac{3}{20}[/tex] of the whole field.

A tennis ball is thrown from the top of a building. The distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384. At what time is the tennis ball at the maximum height?

Answers

Answer:

The tennis ball reaches the maximum after 5seconds

Step-by-step explanation:

If the distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384, at maximum height the velocity of the tennis ball will be zero.

Velocity is the rate of change of displacement of a body. If the distance is modeled by the equation h(t)=(-16t^2) +160t + 384 then its velocity will be gotten by taking the derivative with respect to time as shown;

V = dh/dt = -32t+160

at maximum height;

0 = -32t+160

32t = 160

t = 160/32

t = 5seconds

This means that the tennis ball reaches the maximum after 5seconds.

The volume of a cube with side x is calculated by

Answers

Answer:

[tex] {x}^{3} [/tex]

Step-by-step explanation:

[tex]volume \: \: \: of \: \: \: a \: \: cube \\ = whl \\ = x \times x \times x \\ = {x}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

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