The graph of a line goes through the points (-4,3) and (6,8). What is the equation
of the line in slope-intercept form?

Answers

Answer 1

Answer:

y = 1/2x+5

Step-by-step explanation:

You have two points so you can find the slope

m = (y2-y1)/(x2-x1)

m = (8-3)/(6 - -4)

   (8-3)/(6+4)

    5/10

 1/2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1/2 x+b

Substitute a point into the equation

8 = 1/2(6)+b

8 = 3+b

b=8-3 = 5

y = 1/2x+5


Related Questions

A geometric sequence has the explicit formula an = (-2) x 3^n- 1. What is the 4th term?

Answers

Answer:

-54

Step-by-step explanation:

Please write this sequence in the following form:  a(n) = (-2)*3^(n- 1)

Then a(1) = -2*3^0  =  -2

         a(2) = -2*3^(2 - 1) = -6

          a(3) = -2*3^(3 - 1) = -2*9 = -18

          a(4) = -2*3^(4-1) = -2*27 = -54

What is the leading coefficient of 5-6x^4+8x^2-2x^3

Answers

Answer:

-6

Step-by-step explanation:

Rewrite the equation with the number that has the highest exponent in the front.

-6x^4 -2x^3 + 8x +5

The leading coefficient is the number beside the x value

In this case it is -6

Hope this helps plz mark brainliest!

Which expression is modeled by this arrangement of tiles?

16 negative tiles are split into 2 groups of 8 negative tiles.
Negative 16 divided by 3
Negative 16 divided by 2
Negative 8 divided by 8
Negative 8 divided by 2

Answers

Answer:

The answer is B

Step-by-step explanation:

Liam highlighted the columns in the multiplication table below to find equivalent ratios. A multiplication table. In the row labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the row labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. The same number goes into each box to make the two ratios below equivalent. StartFraction 4 Over blank EndFraction, StartFraction blank Over 36 EndFraction Which number goes into both boxes?
A-6
B-9
C-12
D-18

Answers

9514 1404 393

Answer:

  C-12

Step-by-step explanation:

You want to find n such that ...

  [tex]\dfrac{4}{n}=\dfrac{n}{36}\\\\4\cdot36=n^2\qquad\text{multiply by $36n$}\\\\\sqrt{4\cdot36}=n\\\\2\cdot6=\boxed{n=12}[/tex]

Answer:

12

Step-by-step explanation:

Took the test on edg I got 100%.

Which term describes the set of all possible output values for a function?
A. Range
B. Output
C. Domain
оо
D. Input

Answers

The correct answer is C. Domain
The answer is C-Donain

which number produces an irrational number when multiplied bby 1/2

Answers

multiply by 0.4 will yield it

Can someone explain how $3.79 x 2 =$7.58 is equivalent to $7.58/2=$3.79

Answers

Answer:

ehhrr idk

Step-by-step explanation:

Answer:

Because 7.85/2 mean that you are diving the top by the bottom so that would give you the answer of $3.79, I hope I answered your question how you wanted it to be I am sorry if I didn't

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST
There are 5 boys in a class of 12 students. (a) What is the ratio of all students in the class to girls? (b) What is the ratio of girls to boys?

Answers

Answer:

(a) 12:5

(b)12:7

Step-by-step explanation:

HOPE i helped!

how would you write an equation of a circle that is (-3,2) with a radius of 5

Answers

Answer:

(x+3)^2 + (y-2) ^2 = 25

Step-by-step explanation:

Equation of a circle: (x-h)^2 + (y-k)^2 = r^2

Center at (h,k)

Radius=r

PLEASE HELP WILL MARK BRAINLIEST

Graph the inequality below on the number line.

Answers

Answer:

open circle on negative 10 with the arrow going to the right. one trick is when the variable is on the left the inequality sign points to where the arrow will go and > is open circle > with a line under is closed circle

Pls pls help me with this

Answers

Answer : 12
Using Pythagorean’s Therom we can find the last side of the right triangle
Answer is 12 your welcome

Juliet baked 30 brownies for a party.she gave 6 brownies to a friend. What percent of the brownies did juliet give het friend

Answers

Answer:

20%

Step-by-step explanation:

6/30 = blank/100

cross multiply

6 x 100

600/30 =20

Please help someone help me! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

I say it’s 0.0724 or 0.724

Carla has $1560 in a savings account that pays 2.5% simple interest. How much interest is earned in 3 years? b) How much money is in her savings account at the end of 3 years?

plz show work

Answers

Answer:

a)  The  interest is earned in 3 years = 112.5

b) The total amount earned at the end of 3 years = 1672.5 rupees

Step-by-step explanation:

Given Carla has $1560 in a savings account that pays 2.5% simple interest

Interest = 1560 × 2.5 %

             = 1560 × 0.025

            =  37.5

The interest for one year = 37.5

The  interest is earned in 3 years = 112.5

b) The total amount earned at the end of 3 years

                               = Amount + interest

                               = 1560 + 112.5

                             = 1672.5

Question below. I have attached it below. Please answer it and comment the answer.

Answers

Answer:

(a)1/10

(b)1/5

(c)4/5

hope it helps

Answer:

answer for A) 1/10

answer for B) 1/10

answer for C) 8/10 given that you consider the digit '1' present in 10. if not, 9/10 is the answer

for all the values of x,
f(x)=x²+3 g(x)=2x-1
a) find fg(2)
b) find gf(2)

Answers

Answer:

12 and 13

Step-by-step explanation:

(a)

To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)

g(2) = 2(2) - 1 = 4 - 1 = 3, then

f(3) = 3² + 3 = 9 + 3 = 12

--------------------------------------------

(b)

To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)

f(2) = 2² + 3 = 4 + 3 = 7, then

g(7) = 2(7) - 1 = 14 - 1 = 13

What is the length of the leg of a right triangle if one leg is 4 and the hypotenuse is 5?

a.25
b.3
c.16
d.9

Answers

Answer: B. 3

Step-by-step explanation:

4^2 + b^2 =5^2

16 + b^2= 25

-16            -16

b^2 = 9

[tex]\sqrt{9} =3[/tex]  

A carpenter is cutting a 2 by 4 framing for a roof. The legenth needs to be 5 feet. He allows 0.1 foot possible variation for the length of the cut. What values of l represent the acceptable length for the board in feet?​
<OLD>

Answers

Answer:

4.9 ≤ l ≤ 5.1

Step-by-step explanation:

'I' represents the length of the acceptable length for the board in feet.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
A carpenter is cutting a 2 by 4 framing for a roof. The length needs to be 5 feet.
He allows a 0.1-foot possible variation for the length of the cut. where variation becomes,
5 - 0.1 ≤ I ≤ 5 + 0.1
4.9 ≤ I ≤ 5.1

Thus, 'I' represents the length of the acceptable length for the board in feet.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ5

Johann baked 24 cookies for a picnic with his
friends. Of the 10 friends he invited, 7 friends
were able to attend the picnic. If Johann gave -
each of his friends the same number of
cookies and had 3 cookies left for himself, how
many did each friend get?

Answers

Answer: Each friend got 3 cookies.

Step-by-step explanation:

Johann gets three cookies so 24-3=21. Divide it by the seven friends that came. 21/7=3 cookies.

Answer:

Step-by-step explanation:

So 7 of his friends came to the party and 3 cookies were left for himself. To find how many cookies each friend got, first subtract the 3 cookies Johann has from the total.

24-3=21

Then divide 21 by the number of friends.

21÷7=3

So each friend got 3 cookies.

I WILL MARK YOU BRAINLIEST!!!! HELP PLZZ

Answers

Answer:

exponential growth

Step-by-step explanation:

f(x)  = 2  * 2^x

This is in the form

y = a * b^x  where a is the initial value and b is the growth rate or decay rate

b > 1 so it is growth

This is  the exponential form

y = mx+b is the linear form

The answer would be exponential growth. Hope this helps

factorize Factor 25x² - 16y²

Answers

Answer:

Since both terms are perfect squares, factor using the difference of squares a^2-b^2=(a+b)(a-b) where a=5x and b=4y

(5x+4y)(5x-4y)

Solve x2 − 3x = −8.
a. x equals quantity of 3 plus or minus I square root of 29 all over 2
b. x equals quantity of 3 plus or minus I square root of 23 all over 2
c. x equals quantity of negative 3 plus or minus I square root of 29 all over 2
d. x equals quantity of negative 3 plus or minus I square root of 23 all over 2

Answers

Answer:

x equals quantity of 3 plus or minus I square root of 23 all over 2

Step-by-step explanation:

HELPPPP, giving brainlists The question, “How many ways can 4 different students be selected in order from a class of 30 students?”, is a(n) _____.

Answers

Answer:

³⁰C₄ = (30!)/(4!)(30-4)! = 27,405 WAYS

1/2 belongs to what family of real numbers

Answers

Answer:

1/2 belongs to the rational family of real numbers because it isn't an integer (..-1, 0, 1..) but it can be written as a fraction.

Answer:

rational numbers and real numbers

Step-by-step explanation:

Rational numbers is part of the real numbers family and so therefore it is also a real number.

to determine the percentage of students interested in volunteering for a holiday food drive, franklin high school conducts a phone survey of all currently enrolled seniors. this is an example of _____.

A.) Collecting data

B.) Describing data

C.) Making an inference

Answers

Answer: A Collecting data

Step-by-step explanation:

just did the quiz

Which of the following best describes perpendicular rays?
A. Rays that intersect
B. Rays that are coplanar
C. Rays that intersect at a right angle
D. Rays that never intersect

Answers

Answer:

C.

Step-by-step explanation:

Rays that intersect at a right angle (90° angle) are always perpendicular

what is 2 7/8 x 2/3

Answers

Answer:

2.25

Step-by-step explanation:

if MNL is congruent to TUS, then NL is congruent to ?​

Answers

Answer:

NL is congruent to US.

Answer:

d. NL ≅US

Step-by-step explanation:

ΔMNL ≅ ΔTUS

follow the order in ≅ statement meaning that MN ≅ TU,NL ≅US, ML ≅ TS

In a group of 42 students, 9 study both Art and Biology.
10 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

Answer:

The probability the student studies Art and Biology is 0.2143.

Step-by-step explanation:

Denote the events as follows:

A = a students studies Art

B = a students studies Biology

The information provided is:

N = 42

n (A ∩ B) = 9

n (A' ∩ B) = 10

n (A' ∩ B') = 7

Then the number of students who study Art but not Biology is:

n (A ∩ B') = N - n (A ∩ B) - n (A' ∩ B) - n (A' ∩ B')

               [tex]=42-10-7-9\\\\=16[/tex]

The number of students who study Art but not Biology is 16.

Compute the probability the student studies Art and Biology as follows:

[tex]P(A\cap B)=\frac{n (A\cap B)}{N}[/tex]

               [tex]=\frac{9}{42}\\\\=\frac{3}{14}\\\\=0.2143[/tex]

Thus, the probability the student studies Art and Biology is 0.2143.

Please state the like terms in each group:
a) 4w,5w^2, 5z, x^2, -x, 3w, 3v
b) 4x^2, -3x^2, 4z, 2y, y^2, 4w

i will give the brainliest to whoever answers correctly:))

Answers

a) 4w and 3w

b) 4x^2 and -3x^2 and y^2

Answer:

a ) 4w and 3w

b ) 4x^2 and - 3x^2

Step-by-step explanation:

Like terms are considered to have similar variables, such as say 1abc and 22abc. Note that the " 1 " and " 22 " are  coefficients ;

[tex]a ) 4w, 3w\\\\b ) 4x^2, - 3x^2[/tex]

As you can tell, the part a ) has terms with the like variable w, and part b ) has terms with the like variable x^2

Solution above

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