Write the equation of a line in slope-intercept form, y = mx + b, between the following
points: (2, 5) and (-4,-4).

Answers

Answer 1

Answer:

[tex]y = \frac{3}{2} x + 2[/tex]

Step-by-step explanation:

In the slope-intercept form y= mx +b, m is the slope and b is the y- intercept.

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} } [/tex]

Using the formula above,

[tex]slope = \frac{5 - ( - 4)}{2 - ( - 4)} [/tex]

[tex]m = \frac{5 + 4}{2 + 4} [/tex]

[tex]m = \frac{9}{6} [/tex]

[tex]m = \frac{3}{2} [/tex]

Substitute the value of m into the equation:

[tex]y = \frac{3}{2} x + b[/tex]

To find the value of b, substitute a pair of coordinates into the equation.

When x= 2, y= 5,

[tex]5 = \frac{3}{2} (2) + b[/tex]

5= 3 +b

b= 5 -3

b= 2

Thus, the equation of the line is [tex]y = \frac{3}{2} x + 2[/tex].


Related Questions

Help! I don’t get this ine

Answers

[tex]3|2x+4|-1=11 \ \ /+1\\\\3|2x+4|=12 \ \ /:3\\\\|2x+4|=4\\\\2x+4=4 \ \ \text{or} \ \ 2x+4=-4\\\\2x=0 \ \ \text{or} \ \ 2x=-8\\\\\boxed{x=0} \ \ \text{or} \ \ \boxed{x=-4}[/tex]

Graph y - 4x + 3 = 0 and {(x , y ): x ≤ 1}. Click on the graph until the correct graph appears.

Answers

the third graph is the correct choice. the graph has a y-intercept at -3, with a slope of 4, and shading to the right of x=1

Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280

Answers

14 + 28 + 42 + 56 + … 280

= 14 (1 + 2 + 3 + 4 + … + 20)

= 14 × 20 × 21 / 2

= 2940

where we use the well-known identity,

[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]

Collect 5 large numbers and 5 small numbers related in life and express them as exponents. Sample- Distance of the Earth from the moon
384400 km = 3.844 × 10⁵ km

Answers

Answer:

Exponential notation is a powerful way to express repeated

multiplication of the same number. Specifically, powers of 10

express very large and very small numbers in a manner which is

convenient to read, write and compare.

• For any non-zero integer a, a–m 1

m a

=

• Laws of exponents are

(a) am × an = am+n

(b) am ÷ an = am–n

(c) (am)

n = amn

(d) am × bm = (ab)

m

(e) a° = 1, where a ≠ 0

(f)

m m

m

a a

b b

  =   

• Numbers can be expressed in expanded form by using exponents.

• Very large and very small numbers can be expressed in standard

form.

• Standard form is also called scientific notation form.

Step-by-step explanation:

Example 1 : Multiplicative inverse of 27 is

(a) 2–7 (b) 72 (c) – 27 (d) – 27

Solution : The Correct answer is (a).

Example 2 : The human body has about 100 billion cells. This number

can be written in exponential form as

(a) 10–11 (b) 1011 (c) 109 (d) 10–9

Solution : The correct answer is (b).

In examples 3 to 5, fill in the blanks to make the statements true.

Example 3 :

4

4 5 (– 4) ______ 4

  × =    

Solution : 54

Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =

Solution : 6–6

Example 5 : The distance between earth and sun is 150 million

kilometres which can be written in exponential form as

_______.

Solution : 1.5 × 108 km

In examples 6 and 7, state whether the statements are true (T) or false (F):

Example 6 : Very small numbers can be expressed in standard form

using positive exponents.

Solution : False.

Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4

Solution : False.

Step-by-step explanation:

Teacher: Who can tell me how to simplify 3 + 5 x 2 – 4?
Student -girl: I think you should do 3 + 5 first and the answer is 12.
Student -boy: I think you do 5 x 2 first and the answer is 9
Teacher: Why did the boy and girl get different answers?

Answers

Answer:

3+5×2-4

3+10-4

13-4

9

Step-by-step explanation:

But I solve like this and the answer is 9 I am student girl.

Answer:

The girl didn't follow PEMDAS

Step-by-step explanation:

PEMDAS is the order in which you solve mathematical equations.

Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

If you add before multiplying you'll get a completely different answer.

The boy followed PEMDAS, while the girl didn't.

Which of the following transforms the graph of
y = x2 to the graph of y=x2-77
a translation 7 units to the right
a translation 7 units to the left
translation 7 units down
a translation 7 units up

Answers

Answer:

a translation 7 units down

Step-by-step explanation:

the value of -7 will be added to the value of y in the original one ( y = x2) and it will decrease it by 7 units

Answer:

c

Step-by-step explanation:

assignment said so

Find the median of the data. 7, 5, 12, 8, 2, 9, 4

Answers

The median of the data is: 7

If the digits A, B and C are added, the sum is the two-digit number AB as shown. What is the value of C?
A
B
+ C
______
AB

Answers

Answer:

C=9

Step-by-step explanation:

If A, B, and C are all single digits the mimimum sum for AB would be 10 as it is a two-digit number (or 11 if you do not consider 0 a digit)

AB-(A+B)=C

10-(1+0)=9 or 11-(1+1)=9

therefore C=9

Victor wants to see if positively greeting children as they enter the classroom reduces problem behaviors. He randomly assigns 10 second- and third-grade classrooms to one of two conditions: classes where the teacher greets each student by name and with a smile as they enter the classroom and classes where the teacher does not greet students. During a 4-week period, he asks teachers to track the number of problem behaviors per classroom on a daily basis via a strict protocol he has designed. What is the control group

Answers

The control group in the experiment are the classes where the teacher does not greet the students

A control group in an experiment is made up of groups of people that do not receive the experimental treatment.

The purpose of a control group is to allow the researcher study one variable at a time.

Victor is conducting an experiment on if positively greeting children as they enter the classroom reduces problem behaviours.

The experimental treatment here is positively greeting the students.

The group that do not receive this experimental treatment are referred to as the control group.

At the end of the experiment, Victor would compare the behaviours of the students in the control group with the behaviour of those who were part of the experimental group to see if greeting reduced problem behaviours.

To learn more about the control groups, please check : https://brainly.com/question/17602354?referrer=searchResults

-3(2+ k)- 6k = 6+ 3k

Answers

Answer:

solve for k,  k=-1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

k=-1

Step-by-step explanation:

First step: Distribute

Result: -6-3k-6k=6+3k

Second step: Combine like terms

Result: -6-9k=6+3k

Third step: Add 6 to both sides

Result: -9k=12+3k

Fourth step: Subtract 3k from both sides

Result: -12k=12

Final step: Divide by -12 to both sides

Result/Answer: k=-1

Side note:

Hopefully this helps!

Which is greater 55.5% or 3/5

Answers

Answer:

3/5

Step-by-step explanation:

3 divided by 5 is 0.6, which translates to 60%.

55.5% < 60%

Answer:

3/5 is the greater .

I hope it will help you. Have a great day ahead.

What is 6a +9 ≤ -15?

Answers

6a lessthanequalto -24

The answer is A is less than or equal to negative 4

Answer:

a = -5

Step-by-step explanation:

IF A = -5

6 ( - 5 ) + 9

- 30 + 9

-21

-21 is less than -15 so it works

Help for brainliest plz

Answers

Answer:

marke me as brainly please

which of the following is the best estimate of the square root of 90

Answers

Answer:

9.5

Step-by-step explanation:

9.5x9.5= 90.25 which is the closest you can get without going into further decimals

helpppppppppp it’s multiple choice questions I’ll brainlist!

Answers

Answer:#1 is D

Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141

the answer to ur question is D

Help me with 19 and 20

19 find x

20 find y

Answers

Answer:

19) x = 48

20) y = 21

Step-by-step explanation:

19)

7x - 248 + x + 44 = 180

(because they're supplementary angles)

8x - 204 = 180

8x = 180 + 204

8x = 384

x = 48

20)

2y + 50 + 5y - 17 = 180

7y + 33 = 180

7y = 180 - 33

7y = 147

y = 21

if the complement of an angle is 62 then find its supplement

Answers

Answer:

supplement = 152°

Step-by-step explanation:

If the complement is 62° , then

angle = 90° - 62° = 28° ( Complementary angles sum to 90° )

Supplementary angles sum to 180° , then supplement of 28° is

180° - 28° = 152°

please help, this is geometry

Answers

Answer:

Step-by-step explanation:

The formula is the same almost as the previous question you posted.

You want to find the major arc. That's almost the whole circle. If it was the whole circle,  the formula would be 2 * pi * r

But we only want a part of it. Just how big is the angle we use in the formula?

A circle has 360 degrees to go around it. We've cut out a slice of it that is 30 degrees.

The remaining part is 360 - 30 = 330

Arc length = angle / 360  * 2 * pi * r

r = 3 m

Arc length = 330 / 360 * 2 * pi * 3

Arc length = 0.9167 * 6 * 3.14

Arc length = 17.27

How many milligrams are equal to 39 grams?

A 390 milligrams
B 390,000 milligrams
C 3,900 milligrams
D 39,000 milligrams

Answers

how many milligrams are equal to 39 g is 39,000 which is D

Answer:

39000

1 gram=1000milligrams

hence,

39 grams=39×1000milligrams

=39000milligrams

If a block has a volume of 216 cm³ in length and width of sides respectively 12 cm and 6 cm. What is the height of the cuboid?​

Answers

Step-by-step explanation:

I hope it helped U

Monique has 12$ in her account

Answers

she has -38 because she took out too much+ fees- existing money= debt

D is the midpoint of RJ⎯⎯⎯⎯. R has coordinates (−4,7), and D has coordinates (2,−1). Identify the coordinates of J.

Answers

Answer:

[tex](8,-9)[/tex]

Step-by-step explanation:

If the x-coordinate of R is 6 units away from D's x-coordinate, then so will J's x-coordinate. If the y-coordinate of R is 8 units away from D's y-coordinate, then so will J's y-coordinate.

Side note/Extra information:

The line would be [tex]y=\frac{-4}{3} x+\frac{5}{3}[/tex]

is 53 an improper fraction or a proper fraction?

Answers

Improper fraction !
Hope this help

length and width of a field are in the ratio 5.3 If the wilth of 아 the field is 42m, then its length is​

Answers

Answer:

The length of the feild is:

    (42 / 3) x 5 = 70m

So the length of the feild is 70m

Hope it helps, Brainliest  please <3

Does the quotient of 4554 divided by 9 have a remainder? How can you tell without dividing?

Answers

Answer:

No; Because 9 is a factor of 4554. By divisibility rules sum of digits of 4554 is 18, which is a number divisible by 9. Hence 4554 is divisible by 9.

Step-by-step explanation:

:)

YALL I NEED HELP PLZ

Answers

Answer: 6.9

Step-by-step explanation: search sqrt 48

Manuel estimates that 2/3 of a pizza is left. Stephen estimates that 3/4 is left. They are
going to compromise for a joint estimate by using the number halfway between their 2
estimates. What is their joint estimate?

Answers

Answer:

it is 2.5/3.5

For each ordered pair in the table, how does the second number compare to the first number... can yall tell me I need to turn it in Tomorrow!!??

Answers

Answer:

The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.

How much simple interest is earned on $6,000 at an interest rate of 4.52% in 4 1/2 years?

Answers

Answer:

1220.4

Step-by-step explanation:

S.I.=P×R×T÷100

=6000×4.52×4  1/2÷100

=6000×4.52×9÷2×100

=60×4.52×9÷2

=30×4.52×9

=1220.4

Evaluate X^3 when X= 5

Answers

Answer:

125

Step-by-step explanation:

x^3

Let x=5

5^3

5*5*5

125

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