A line passes through the points (2,-4) and (6,10). What is the equation of the line?

Answers

Answer 1

Answer:

y = [tex]\frac{7}{2}[/tex] x - 11

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)

m = [tex]\frac{10+4}{6-2}[/tex] = [tex]\frac{14}{4}[/tex] = [tex]\frac{7}{2}[/tex] , thus

y = [tex]\frac{7}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 4) , then

- 4 = 7 + c ⇒ c = - 4 - 7 = - 11

y = [tex]\frac{7}{2}[/tex] x - 11 ← equation of line


Related Questions

Identify the slope HELP VERY QUICK

Answers

Answer:

y=3x+4

Step-by-step explanation:

rise=3

run=1

3/1=3

y-intercept is 4

Points are (-1, 1) & (4, 0)

Hope this helps!!!

Answer:

the correct answer is the very last option, y=3x+4

Step-by-step explanation:

what are the x intercepts of the following function:
f (x) = 3x^2 - 3x - 6

Choices:
-1 and 2
1 and -2
1 and 2
-1 and 2

Answers

Answer:

2 and -1 so it would be the first choice

A)

Step-by-step explanation:

Y=-2(x+1)^2

Transformation 1

Transformation 2

Transformation 3

Vertex

Axis of symmetry

Answers

I have a quiz on this tomorrow, looks like I got lucky.
Vertical shrink by 2
Shifts left by 1
Shifts up by 2
Vertex; (-1,2)
I have no idea what the axis is, but it might be 2.

worth brainliest if you can help.

Answers

Answer:

Johnny played a round of golf, he was at a score of -2; however, he increased his net strokes by 4 shots. What is his score after the net score incrementation?

Step-by-step explanation:

I hope this helps because the question was asking for me to ask a question.

The vertex form of the function is
y = (x +
)2 +
.

Answers

Answer:

4, -19

Step-by-step explanation:

Answer:

4 and -19

Step-by-step explanation:

Answers on edge 2021

Help with my question please ASAP! Please and Thanks for the help. (there should be an attachment.)

Answers

Answer:

10

Step-by-step explanation:

a = 5, b = 4, c = 6

[tex]\frac{4a}{2b-c} =\frac{4(5)}{2(4)-6} =\frac{20}{8-6} =\frac{20}{2}=10[/tex]

Find the value of x so the function has the given value.
t(x)=2x-4;t(x)=1/2

Answers

Answer:

9/4

Step-by-step explanation:

х = 6y + 3
x+2y = 5

What’s the first step?

Answers

Answer:

subtract 2y

Step-by-step explanation:

x= 5-2y or x= -2y+5

The Angels won ten games out of sixteen of their games during the 2009 regular season. At this rate, how many games do they need to win 50 games?

Answers

Answer: 80

10/16=0.625

0.625x80=50

6. Ben and his three friends are going to Red Lobster. They decided to split
the $51.28 bill evenly. How much does each person have to pay? *

Answers

Answer:

each person has to pay 12.82

Given w1 = -2 + 3i and W2 = 4 - 4i, which complex number can be added to Wi to produce wz?
6-i
-6-i
6-7i
-6+7i

Answers

Given:

Two complex numbers are [tex]w_1=-2+3i[/tex] and [tex]w_2=4-4i[/tex].

To find:

The complex number that can be added to [tex]w_1[/tex] to produce [tex]w_2[/tex].

Solution:

Let complex number [tex]z=[/tex] is added to [tex]w_1[/tex] to produce [tex]w_2[/tex].

[tex]w_1+z=w_2[/tex]

[tex]z=w_2-w_1[/tex]

On substituting the values, we get

[tex]z=(4-4i)-(-2+3i)[/tex]

[tex]z=4-4i+2-3i[/tex]

Combine like real and imaginary parts.

[tex]z=(4+2)+(-4-3)i[/tex]

[tex]z=6+(-7)i[/tex]

[tex]z=6-7i[/tex]

Therefore, the correct option is C.

PLZ HELPP TODAYS MY LAST DAY

Answers

Answer:

Numbers less than 25 is answer

I’ll mark the Brainliest :)
A researcher would like to study the relationship between average fuel economy (measured in miles per
gallon) and fuel type (premium, regular unleaded, and E85). He randomly selects 90 vehicles of various
makes and models, including compact cars, full-size cars, and trucks. All of the selected vehicles have
been driven less than 6,000 miles before the experiment.
a) Does this experiment use a control group? Explain.
b) Suppose the researcher would like to use a completely randomized design. Explain how the
researcher should assign the 90 vehicles to the three fuel types.
c) An advisor to the researcher suggests using a randomized block design. Should the researcher
block on type of vehicle (compact cars, full-size cars, and trucks) or number of miles previously
driven (0–2,000 miles; 2,000–4,000 miles; and 4,000–6,000 miles)? Explain your choice of
blocking variable

Answers

Answer:

Step-by-step explanation:

The Discussion to all points are shown below:

What is Survey?

In order to gather information about a service, product, or process, a survey is described as the act of looking at a process or questioning a predetermined sample of people. Surveys used to gather data ask a specific set of people about their beliefs, actions, or knowledge.

Given:

a) No, there isn't a control group in this trial. This is evident from the fact that all of the gasoline tyres are being evaluated in all of the different automobile types; no specific group is under supervision.

b )In order to randomly assign Groups 1, 2, and 3 to each of the three feel kinds, the researcher should utilise a computer generator to run through the 90 generators.

c) Miles driven should be used as a criterion for blocking rather than vehicle type because the latter could have an impact on fuel economy.

Learn more about Survey here:

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Justin has a crate that is 8 feet long 2 feet wide and 3 feet tall decide weather each of the crate sizes described below has the same volume as Justin's crate

Answers

Complete question is;

Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall. Decide whether each of the crate sizes described below has the same volume as Justin’s crate.

a. 9 feet long, 1 foot wide, 4 feet tall

b. 8 feet long, 2 feet wide, 2 feet tall

c. 4 feet long, 4 feet wide, 3 feet tall

d. 8 feet long, 3 feet wide, 3 feet tall

e. 6 feet long, 2 feet wide, 4 feet tall Answer:

Options C & E have the same volume as Justin's crate.

Step-by-step explanation:

We are told Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall.

Thus, original volume is;

V_o = 8 × 2 × 3 = 48 ft³

A) For a dimension of 9 feet long, 1 foot wide, 4 feet tall , volume is;

V_a = 9 × 1 × 4 = 36 ft³

B) For a dimension of 8 feet long, 2 feet wide, 2 feet tall, volume is;

V_b = 8 × 2 × 2 = 32 ft³

C) For a dimension of 4 feet long, 4 feet wide, 3 feet tall, volume is;

V_c = 4 × 4 × 3 = 48 ft³

D) For a dimension of 8 feet long, 3 feet wide, 3 feet tall, volume is;

V_d = 8 × 3 × 3 = 72 ft³

E) For a dimension of 6 feet long, 2 feet wide, 4 feet tall, volume is;

V_e = 6 × 2 × 4 = 48 ft³

Looking at all the options, the only ones that given a volume equal to Justin's original volume are options C & E.

subtracting decimals

4 - 21

Answers

Answer:

-17

Step-by-step explanation:

It is basically subtracting 4 from 21 except the answer is negative

1What is the simple interest on #25 000 for 3years at 5% per annum?.

#28 750

#3 750

#2 875

#375


Answers

Answer:

3750

Step-by-step explanation:

Simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex] ( P is the principal, R is rate of interest and T time in years )

Here P = 25000, R = 5 and T = 3 , thus

I = [tex]\frac{25000(5)(3)}{100}[/tex]

  = [tex]\frac{375000}{100}[/tex]

  = 3750

A square has side length (2x+3)in. What is the area of the square

Answers

Answer:

the area would be "4x2+9+12x"

sorry if this doesn't help :(

Step-by-step explanation:

Answer:

Answer given in the photo

What is the solution for x in the following equation?
2x-3=7 then evaluate 4x

Answers

-2x

Step-by-step explanation:

Answer:

x=5, 20

Step-by-step explanation:

2x-3=7

+3 both sides

2x=10

÷2 both sides

x=5

4(5)=20

Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?

Distribute –4 to get –8x + 4 > 5 – 3x.
Distribute –4 to get –8x – 1 > 5 – 3x.
Subtract 2x from both sides of the inequality.
Add 1 to both sides of the inequality.

Answers

Answer:

Step-by-step explanation:

Distribute –4 to get –8x + 4 > 5 – 3x.

We can actually deduce here that the correct first step in solving the inequality –4(2x – 1) > 5 – 3x is: A. Distribute –4 to get –8x + 4 > 5 – 3x.

What is inequality?

An inequality refers to the relationship that exist between two expressions that shows that they are not equal to each other. The signs used in an inequality are:

≠ ‘not equal to’, > ‘greater than’, < ‘less than’, etc.

We see here that the first step is to use -4 to multiply the digits in the bracket. If that happens, we will have: –8x + 4 > 5 – 3x.

Then solving the inequality:

-8x + 3x > 5 - 4

-5x > 1

x < -1/5

Thus, we see that option B: Distribute –4 to get –8x + 4 > 5 – 3x. is the correct answer.

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a zoo has a total of 8 lions and tigers. the number if tigers is one lese than twice the number of lions. wirte a system or equations that represents the number of lions and tigers​

Answers

Answer:

Step-by-step explanation:

X+y=8

X=2y-8

Answer:

8 lions 15 tigers

Step-by-step explanation:

I could vibe with you answering this question​

Answers

Answer:

It's C

Step-by-step explanation:

Are you vibing with me now? Huh? are you? Hello?

The answer of the question is C

#2. A field of grass feeds 36 cows for 4 days. How
many days would the same field feed 20 cows?

Answers

162 cow-days

Since the initial grass and the grass accumulated over 4 days is equal to 144 cow-days, the initial grass is equal to (144 − 36) or 108 cow-days. Now, to find the answer to the question: in 18 days, the grass accumulation is equal to 18 ∗ 9 or 162 cow-days.

Please consider marking brainliest! :)

Using the principle of proportional relationship, it will take 20 cows 7.2 days.

Setting up the relationship thus :

36 cows = 4 days

Hence, if they eact at the same rate ;

1 cow = 36 × 4 = 144 days

Hence, for 20 cows, it will take;

144 days ÷ 20

= 7.2 days

Hence, 20 cows will feed on the grass for 7.2 days

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jessica brought 32 kiwi fruit for $16

Answers

Answer:

I think you forgot the context or image of that.

Answer:

nice ?

Step-by-step explanation:

What is the measure of

Answers

Answer:

I feel the answer is C.

50 degrees.

Step-by-step explanation:

Since all triangles measure 180 degrees. You just add both 100 and 30 to get 130. Then subtracting 180 from 130. Which you get 50. Hopefully this is right, I apologize if it is incorrect. Have a wonderful rest of your day though!! :)))

whats your name and shirt you wear​

Answers

Answer:

a shirt with a color on it

Step-by-step explanation:

DUE TODAY PLEASE HELP!
I need help with both of these. What is x and what is the angle relationship converse used?

Answers

Answer: 12. X = 14

Step-by-step explanation:

10x + 17 = 87 + 5x

10x = 70 + 5x

5x = 70

X = 14

HELP PLEASE! Thank you! 15 POINTS

Answers

Answer:

Step-by-step explanation:  for 8 thirds use the long lines to count back from 5 to 0 then once u get 0 use the little lines to get to 8 thirds towards 5 and do the same for -11 thirds but towrds -5

Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.

A bar diagram. The top bar contains 20.00. The bottom bars contain c and 9.79.

20.00 = c + 9.79

What is the value of c, and what does it represent in this problem?
The value is $10.21, and it shows the cost of Pablo’s lunch.
The value is $29.79, and it shows the cost of Pablo’s lunch.
The value is $10.21, and it shows the change Pablo received.
The value is $29.79, and it shows the change Pablo received.

Answers

Answer:

The value of "c" represents the amount of change that Pablo will receive

Step-by-step explanation:

If you pay 9.79 in lunch with a 20 dollar bill, you would have 10.21 in change.

Let's use the equation given to us:

20.00 = c + 9.79

now let's subtract 9.97 on both sides of the equation:

20.00 - 9.79 = c + 9.79 - 9.79

we're left with:

10.21 = c

this is how much money we're left with after we pay for lunch, which is the change given to us. Therefore,

c = the amount change Pablo will have after he pays for his lunch

Answer:

C

Step-by-step explanation:

I took the test

determine the equation of the line for the given information: the graph has y-intercept (0,6) and contains the point (2,1)
A. y=2.5x+6
B. y=-2.5x+6
C.y=6x+-2.5
D.y=2x+6

Answers

Answer:

B is the answer

Step-by-step explanation:

you are given two points (0,6) and (2,1)

the equation is y=mx+b it says that the graph has a y-intercept (0,6) from this point you take the y-value which is also ur b-value in the equation to find m you need to do y2-y1/x2-x1

WILL GIVE BRAINLIEST IF ITS CORRECT THANK YOU :)

Answers

Answer:

πxd

Step-by-step explanation:

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