write an equation of the line that passes through 3,1 and 0,10

Answers

Answer 1

Answer:y = -3x + 10

Step-by-step explanation:

To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:

where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.

Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:

So the slope between the two points is -3.

From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:

y = mx + b

plug in -3 for m (the slope) and 10 for b (the y-intercept)

y = -3x + 10

So now we have our equation.

I hope you find my answer and explanation helpful. Happy studying. :)


Related Questions

factorise it
[tex]v[/tex]

Answers

Answer:

2(x – ½)(x + ½)

Step-by-step explanation:

2x² – ½

The above expression can be factorised as follow:

2x² – ½

2 is common to both 2 and ½. Thus,

2x² – ½ = 2[x² – ¼]

Recall

(½)² = ¼

Thus,

2[x² – ¼] = 2[x² – (½)²]

Difference of two squares

2(x – ½)(x + ½)

Therefore,

2x² – ½ = 2(x – ½)(x + ½)

HELP ME PLEASEEEEEEE I WILL GIVE BRAINLIEST PLZ HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

pretty simple, you should get 1824

Step-by-step explanation:

first find area of square, you should get 1536 in^2. Then triangle, the formula is base times height divided by 2. lmk if you need more help

Plz help
The point of intersection of two function is also called the

A. Center
B. Equation
C. Vertex
D. Solution

Answers

Answer:

Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball

What's the x plz help

Answers

Answer:

The answer for x is ten

whats the equation to #4

Answers

Answer:

I'm guessing this is for volume

Step-by-step explanation:

The equation to number 4 is

15 x 10 x 12= 1,800 in³

im not sure if its too small or not

Answers

Answer:

area of ring shape =

[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]

=

[tex]36\pi - 16\pi[/tex]

=

[tex]20\pi[/tex] square inches

At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation:

Answers

Answer:

y(t) = 4 + 1.5t

.

Step-by-step explanation:

Initial amount of snow = 4 inches

Fall rate of snow = 1.5 inch per hour

Equation to model the scenario goes thus :

Initial amount of snow + (fall rate of snow * number of hours)

Let the number of hours = h

4 inches + (1.5 inch per hour * h)

Equation, y(t) becomes ;

y(t) = 4 + 1.5t

Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).

Answers

Answer:1

Step-by-step explanation:

4x-4x+4=4h(x)

4=4h(x)

h(x)=1

h(-3)h(-3)=(1)(1)=1

The difference of 1 and twice a number is at most one third the
number(Which of the following models this description?
A. 21 – 2x<_ 1/3x
B. 21 – 2x = 1/3x
C. 21 – 2x >_ 1/3x
D. 21 – 2x < 1/3x

Answers

Answer:

Step-by-step explanation:?

PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR

Answers

Answer:

1. 3k=150

2. 50

At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch?

Answers

Answer:

42%

Step-by-step explanation:

The computation of the percentage is shown below:

Here we assume that there are 100 students

So according to the question

60% of the students would pack the lunch i.e. 60 students

And, 40% of the students buy a lunch i.e. 40 students

Now the students who pack the lunch they have 70% of cookie

So, 70% of 60 students = 42 students

Now the percentage is

= 42 students ÷ 100 students

= 42%

A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how
many miles did the bus travel per hour?

Answers

Answer:

55 miles per hour

Step-by-step explanation:

.......ur welcome.......

330÷6=55

we divide the amount of miles by the time it took the bust to travel

A bus traveled 330 miles between two cities. If the bus traveled for 6 hours,, The bus will travel  approximately 55 miles per hour.

To determine the number of miles the bus traveled per hour, we need to divide the total distance traveled by the time taken.

Given:

Total distance traveled = 330 miles

Time taken = 6 hours

To find the miles per hour, we divide the total distance traveled by the time taken:

Miles per hour = Total distance traveled / Time taken

Miles per hour = 330 miles / 6 hours

Miles per hour ≈ 55 miles per hour

Therefore, the bus traveled approximately 55 miles per hour.

To know more about  "traveled."  here

https://brainly.com/question/28779362

#SPJ2

Full Question

A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how many miles did the bus travel per hour?

(No graph Needed)

Ms. Morrison is purchasing a house and needs to finance a $150,000 mortgage from
the bank with an annual percentage rate (APR) of 3.8%. She is financing it over 30
years and making monthly payments. What is the monthly payment?

Answers

ms. morrison would have to pay $698.94 monthly for the next 30 years

If two angles are vertical and one of the angles measures 65 degrees, what is the measurement of the other angle?

Answers

Answer:

65 degrees, because vertical angles are always congruent.

Step-by-step explanation:

Which of the following is the solution (x,y) of the system of equations x-2y = 2 and -x+2y = 2

Answers

Answer:

Step-by-step explanation:

x-2y = 2

-x+2y = 2

set 1st eq. equal  to 2nd equation since they both equal 2

x -2y = -x + 2y

2x = 4y

x = 2y

1/2x = y

(x, 1/2x )    :P


(NO LINKS OR ELSE YOU WILL BE REPORTED)
Part A
What is the value of x?
Show your work.
Part B
Describe two different ways you could find measure of angle CFD. What is the measure of this angle?

Answers

Answer:

Step-by-step explanation:

Part A

Since, all angle formed at point F lie on a straight line CE.

Therefore, sum of angles ∠AFE, ∠AFB, ∠CFB will be 180°.

(7x + 4) + (8x + 6) + (6x + 2) = 180

21x + 12 = 180

21x = 168

x = 8

Part B

Two lines CD and AE intersect each other at point F.

Therefore, ∠AFE ≅ ∠DFC [Vertically opposite angles]

m∠CFD = (7x + 4)°

             = 7(8) + 4

             = 60°

Since, all angles formed at point F on a straight line AD are linear angles,

m∠AFB + m∠CFB + m∠CFD = 180°

(8x + 6) + (6x + 2) + m∠CFD = 180°

14x + 8 + m∠CFD = 180

m∠CFD = 172 - 14x

             = 172 - 14(8)

             = 172 - 112

             = 60°

A brick of lead weighs 6,328 grams and has the following dimensions: length of 20 cm, height
of 8 crn, and width of 35 mm. What is the approximate density of the lead? Round to the
nearest tenth

Answers

Answer:

11.3

Step-by-step explanation:

Volume: L * W * H

L = 20

W = 8

H = 35 mm = 35/10 = 3.5 cm

V = 20 * 8 * 3.5

V = 560 cm^3

Density = m/v

Density = 6328 / 560

Density = 11.3

The diameter of a circle is 4 millimeters. What is the circle's circumference?

Answers

Answer:

4pi millimeters.

Assuming pi = 3.14159, we can approximate the diameter to be 12.56636mm

Step-by-step explanation:

To get the circumference of a circle, just multiply the diameter by pi

Answer:

C=0.125m

Step-by-step explanation:

C = 2[tex]\pi[/tex]r= (2r)[tex]\pi[/tex] = d[tex]\pi[/tex] = 0.004·[tex]\pi[/tex] = 0.125m

If I have the letter x after a number, what does it mean?

Ex. 20x = 5

Answers

Answer:

It means that 20 times x is 5

also the answer to that problem (20x=5) is 1/4

Step-by-step explanation:

20x means

20 * x

and since 20 * x = 5

divide 5 and 20

5/20 = 1/4

jackson is paid $250.for 5
days of Work how much IS
he paid per day

Answers

$50 per day.
First you divide 250 dollars by 5 then you will get 50 dollars

If f(x) = 4x - 6, what is f(6)?
A. 32
B. 3
o
C. 4
O D. 18

Answers

Answer:

18 is the correct answer

Step-by-step explanation:

to find f(6) you only need to put value 6 in place x and then simple  addotion subtraction

f(6)=4(6)-6

f(6)=24-6

f(6)=18

in 2010. 465 students went to a certain school. In 2014, 372 students went to the same school. By what percent did the number of students decrease?

Answers

Answer:

20%

Step-by-step explanation:

465 - 372 = 93

93/465 = 0.2

0.2 × 100 = 20

Hope this helps !

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

The angles are vertical since they form from two lines crossing at a point and they share a same vertex.

Vertical angles are equal so

[tex]4x - 25 = 75[/tex]

[tex]4x = 100[/tex]

[tex]x = 25[/tex]

?? I need a step by step explanation, please

Answers

Answer:

( 4 , − 1 )

Step-by-step explanation:

y= (x + 3)(x + 5)

y= x^2 + 5x + 3x + 15

y= x^2 + 8x +15

HELP ME PLEASE AND PLEASE ATTACH THE ANSWER BELOW (NO LINKS!!)

Answers

Answer:

D

Step-by-step explanation:

Answer:

1885

Step-by-step explanation:

Volume = Base x Height

Comert
3T=_b
3 tons is equal to
pounds.

Answers

Answer:

i think 3 tons equal 6000 pounds

attach a link if needed<3

Answers

Juice: Different

Burritos: Same

Soup: Same

Peanut Butter: Different

48. A wire is securely attached from the top of
a 26-foot pole to a stake on the ground
14 feet from the base of the pole. Find the
length of the wire to the nearest tenth of a
foot.
A. 21.9 feet
B. 24.3 feet
C. 28.7 feet
D. 29.5 feet

Answers

Answer:

D. 29.5 feet

Step-by-step explanation:

1) First you use the pythagorean theorem a^2+b^2=c^2

2) 26^2+14^2=c^2 The wire is the hypotenuse.

3) Simplify the equation. 676+196=c

4) 872=c

5) Find the square root of 872 and round to the nearest tenth.

6) Your answer is 29.5 feet.

Hope this helps!

GIVING BRAINLIEST!!!!!!

In which step does a mistake first occur? (24+3+10)-14+2
Step1: (8+10)-14+2
Step 2: 18-14+2
Step3: 4+2
Step 4: 2

Answers

A mistake first occurs in step 1. (24+3+10) is not equal to (8+10). It is equal to (27+10).

PLSSSSS HELPPPPPP MEH ;^;

What is the lateral surface area of the triangular prism?

Answers

Answer:

I think it's 56.4

Step-by-step explanation:

if not I'm sorry

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