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

Find the area of the shaded region. Round your answer to the nearest tenth.
5 in.

Answers

Answer:

10 is the number

Step-by-step explanation:

Notebook costs $5,write an expression to show how much (n) notebook costs.

Answers

To find the total cost you would multiply the cost of a notebook by the number of notebooks purchased:

Total = 5n

Two new Clash of Clans games are coming out. Clash Heroes will cost $38 to download and $4 per month for membership. Clash Legends will cost only $20 to download but $6 per month for membership.
Write an equation for the cost of Clash Heroes:



Write an equation for the cost of Clash Legends:




Set your 2 equations equal to each other and solve to show when they would cost the same:


Which game is a better “deal” – show your work and label your answers!

Answers

Answer:

cl has a better deal

Step-by-step explanation:

ch=38+4m=50

cl=20+6m=50

ch=4*3 months =12+38=50

cl=6*5 months=30+20=50

I need help subtracting integers!! THIS IS TIME SENSITIVE!!

Answers

remember that two negatives equal a positive
3 + (-8) = -5
-9 - (-4) = -5
7 - (-5) = 12
6 - (-4) = 10
and so on

can Someone help me ​

Answers

Answer:

1. congruent

2. congruent

3. not congruent

4. not congruent

5. congruent

6. congruent

7. congruent

8. congruent

9. congruent

Step-by-step explanation:

Step-by-step explanation:

there you go I hope this helps you

Which has the greater value, -4 or -5?

please step by step

Answers

Answer:

-5 is the greater value

Step-by-step explanation: because they are both negative but if the other one is positive and the other one is negative, the positive is the greater value.

Mrs. Morales wrote a test with 15 questions covering spelling and Y vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. ​

Answers

15=5x+10y should be the answer or 100 to replace the 15 also it can be rearranged in a different way

What value of b will make the equation a true statement? Explain how you arrived at your solution. (−34 + 43)+ b = 0

Answers

Answer:

b = -9

Step-by-step explanation:

Given the equation (−34 + 43)+ b = 0

We are to find the value of b

First solve for the value in parenthesis

(−34 + 43)+ b = 0

9+b = 0

Subtract 9  from both sides

9+b-9 = 0 - 9

b+0 = -9

b = -9

Hence the value of b will make the equation a true statement is -9

A shipping container is in the shape of a right rectangular prism with a length of 5 feet, a width of 12.5 feet, and a height of 14 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

Answer:

102 pounds

Step-by-step explanation:

Volume of Right rectangular prism = 12 * 8.5 * 4  = 408 cubic feet

Density = Mass / Volume

=>  0.25  = Weight of contents in container / Volume of container

=> 0.25 = Weight of contents in container / 408

=> Weight of contents in container  = 0.25 * 408

=> Weight of contents in container  = 102 pounds

Answer:

683lb

Step-by-step explanation:

PLEASE HELP !!!!!!!!
What is the arc measure of arc PQO? Type the answer as a number only.

Answers

Answer: !50 is the answer hope this helped

Step-by-step explanation:

No files!!! Math work. Help.

Answers

Answer:

Number 6 would be (a) 88 degrees

Number 7 would be (c) 45 degrees

Step-by-step explanation:

What is this Geometry? I haven't done this in so long so i went to look it up online and was shocked because of how much i was overthinking it.

For number 6, since we already have the angle listed as 44 degrees, to find the arc degrees, we would multiply the 44 by two. The formula is basically mAB=2(m<C)=88.

For number 7, we already have the arc degrees, so we would have to divide by two in this case to find the angle. The formula for this would be m<X=1/2(mYZ)=45.

4)
Which set of numbers are equivalent?
A)
5
5%, 0.5,
100
B)
8
8%, 0.08,
10
C)
10.
10%, 0.1,
100
12
D)
12%, 0.012,
100

Answers

Answer:

12%,0,012,

100 ok this answer

This answer is the letter d

pls pleaase pls help marking brainlisr

Answers

Answer:

1

Step-by-step explanation:

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answers

Answer:

(2,1)

Step-by-step explanation:

Answer:

Diagonals of a parallelogram bisect each other

Given vertices:

(-2,-1), (1,3), (6,3), (3,-1)

Plot the points.

We see the diagonals are:

(-2,-1) (6,3)  and (1,3), (3,-1)

The midpoint of any diagonal is the intersection of the diagonals.

Use midpoint formula to find the coordinates:

x = (x₁ + x₂)/2 = (-2 + 6)/2 = 4/2 = 2y = (y₁ + y₂)/2 = (-1 + 3)/2 = 2/2 = 1

The point is (2, 1)

Are these similar and what is the reason?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Step-by-step explanation:

so I will that they are similar

Find the median and mean of the data set below:
48, 50, 38, 4, 8, 46, 23

Answers

Answer:

the median is 38 and the mean is 31

Step-by-step explanation:

Answer:

Mean: 31, Median: 38

Step-by-step explanation:

Mean: 48 + 50 + 38 + 4 + 8 + 46 + 23 = 217 divided by 7 (the amount of numbers) = 31

Median: 4, 8, 23, 38, 46, 48, 50 (The middle number of the numbers in order from least to greatest)

(Please correct me if I'm wrong)

Please help will mark brainliest

Answers

4, 16
-1, 1
3, 9
12, 144
16, 256

The rule is y=x^2. If you square all the numbers on the x side, you will get the numbers on the y side. 4 times 4 = 16. -1 times -1 =1. 3 times 3 =9, and so on.

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

352 sq. inches

Step-by-step explanation:

32 x 22 = 704

704 / 2 = 352

Answer:

352 sq. inches

Step-by-step explanation:

The area of a triangle is found by the formula 1/2bh

aka 1/2 of base times height

the height is 22 and the base is 32 so we multiply 22 by 32

We get 704 but not the end we have to multiply that by 1/2 or divide by 2

Do that and you get 352

b=32      h=22

22*32=704

704/2 or 704*1/2 = 352

Hope I helped (p.s. brainliest?)

What is the rate of change between (-32,0) and (-31,2)

Answers

2-0/ -31 - -32
= 2-0/ -31 + 32
= 2/1
= 2

The scatterplot shows the relationship between the daily high temperature and the number of people swimming in the community pool.
People Swimming
in Pool
у
Number of People Swimming

Temperature (°F)
Based on the scatterplot, approximately how many people will be swimming in the pool on a day when the high temperature is 77°F?
А
50
B
25
С
35
D
10

Answers

Answer:

C

Step-by-step explanation:

X-Axis goes by 4, so 77° falls around the 30-40 area.

A restaurant charged you $50 for the meal. You pay an 8% sales tax on the meal. How much was the tax?

A. $40.00

B. $4.00

C. $0.40

D $54.00

Answers

Answer:

The answer is B.4.00

I believe that the answer is B. $4.00

Rewrite the following without an exponent. (9/5^-2)​

Answers

Answer:

225

Step-by-step explanation:

5^-2 can be rewritten as 1/25.

Then we can divide 1/25 by 9. 9/(1/25)= 225

Please help! Will give good rating

Answers

Answer:

88 ft²

Step-by-step explanation:

Find the area of the shaded region:

8x16= 128

Find the area of the un-shaded region:

5x4=20

20x2 regions= 40 ft² total

since the unshaded region is excluded from the shaded region subtract the area of the shaded region by the area of the unshaded region

128-40= 88

A= 88 ft²

PLEASEPLEASE ANSWER

and if i get any more bots answering with links im gonna cry ive put this question 5 times

Answers

Answer:

x = 7

Step-by-step explanation:

A triangle's total interior angle measurement will equal 180°.

Set all measurements equal to 180:

(82) + (9x - 6) + (6x - 1) = 180

Simplify. Combine like terms:

(82 - 6 - 1) + (9x + 6x) = 180

(82 - 7) + (15x) = 180

(75) + 15x = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, Subtract 75 from both sides of the equation:

15x + 75 = 180

15x + 75 (-75) = 180 (-75)

15x = 180 - 75

15x = 105

Next, divide 15 from both sides of the equation:

(15x)/15 = (105)/15

x = 105/15

x = 7

7 is your value for x.

~

Please someone help me... I have my state test tomorrow and I don't know how to do this.

Answers

Answer: 3.8

Step-by-step explanation:

First, solve 9.30 x 10^7 to find the length of an astronomical unit.

10^7 = 10000000

9.30x10000000=93000000 miles

next, solve for the distances the sun is from Jupiter and Mars,

10^8 = 100000000

1.42x100000000=142000000 miles

4.84x100000000=484000000 miles

next, subtract the distances

484000000-142000000=342000000 miles

then, divide the sum by 93000000 to find the amount in astronomical units.

342000000/93000000=3.677419

finally, round to the nearest hundred

3.68

Writing Linear Equations


Two less than five times a number x is equal to 13. Solve for x.

Answers

Answer:

x = 3

Step-by-step explanation:

5x - 2 = 13  (write the equation)

5x - 2 + 2 = 13 + 2  (isolate the variable)

5x = 15

5x/5 = 15/5  (simplify)

x = 3

Answer:  x=3

Step-by-step explanation:

13=5x-2

13+2=5x

15=5x

x=15/5

x=3

NO LINKS PLEASE!

54 is equal to 75% of a number n. Write and solve an equation to find n. Write the percent as a decimal.

Answers

Answer:

Set this up as a proportion.

54/n = 75/100

Now solve for n and finish from here.

Can i also have brain or a heart :)

Answer:

x would equal 72

Step-by-step explanation:

you can find a percent but there is already a percent showing. So the answer should be 72.

When you're trying to find the answer to these problems you should check if there is a percent part and whole. In this question, there is already a percent and a part so you would just try to find the whole.

HI ME AGAIN I WOULD APPRECIATE IF YOU CAN HELP

Answers

Answer:

75 students were surveyed!

Step-by-step explanation:

strawberry: 25

coffe: 35

vanilla: 10

fudge ripple: 5

Just add that all together

[tex]25 + 35 = 60[/tex]

[tex]10 + 5 = 15[/tex]

[tex]60 + 15 = 75[/tex]

so 75

What is the area of the base?

Answers

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

So

[tex]A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2[/tex]

So the area of the base is 24 in²

Help me please I'm very confused about this!

Answers

Answer:I think it's trying to find the area of which is a 5 times 2 = 10

Step-by-step explanation:

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