Determine the slope and y-intercept of a line that passes through the points (2, 4) and (–4, 1).
m = [ A. –2.5 , B. –1.5 , C. 0.5 ]
b = [ A. 3, B. 7, C. 9 ]

Answers

Answer 1

Answer:

m = [C. 0.5]b = [A. 3]

Step-by-step explanation:

Slope- intercept form:

y = mx + b, where m is the slope, b is the y-intercept

Given points:

(2, 4) and (-4, 1)

The slope is:

m = (1 - 4)/(- 4 - 2) = - 3/ - 6 = 1/2 = 0.5

Use point (2, 4) to find the value of the y-intercept:

y = mx + b4 = 0.5*2 + bb = 4 - 1b = 3


Related Questions

Find Y if f(x)=g(x),please help me to answer this problem.

Answers

If f(x) = g(x)

Then :

(x-4)/(x²+1) = (x² - 4) / (x²+ 1)

We can simplify on both sides by x² + 1 :

x - 4 = x² - 4

x = x²

x - x² = 0

x(1-x) = 0

So either x = 0, or x = 1

S = {0,1}

Good Luck

Answer:

Step-by-step explanation:

( x , y )

( 0 , - 4 )

( 1 , - 1.5 )

[tex]y_{1}[/tex] = - 4

[tex]y_{2}[/tex] = - 1.5

Which of the following statements best describes why the given expression is not simplified?
3x^2–2x+1 - 4x - 6

Answers

Answer:

3x²–6x–5

Step-by-step explanation:

3x²–2x+1–4x–6

collect like terms

3x²–2x–4x–6+1

3x²–6x–5

Find the 91st term of the arithmetic sequence 5, -14, -33, ...5,−14,−33,...

Answers

Answer:

1724

Step-by-step explanation:

first find the nth term = -19n+5

then do -19×91+5= 1724

22 divided by 2,737 include the remainder

Answers

Answer:

124.409

Step-by-step explanation:

sana makatulong sa inyong lahat

What is the total number of possible four-card poker hands if the hand contains exactly one heart?

Answers

Answer:

Step-by-step explanation:

Assuming no wild cards ie. 52 card deck.

13 ways to fill the heart card

39 ways to fill the second card

38 ways to fill the third card

37 ways to fill the fourth card

13(39)(38)(37) = 712,842


Select the correct answer.
When graphing an inequality, the boundary line needs to be graphed first. Which graph correctly shows the boundary line of the inequality?
y <1/3x+ 1

Answers

Answer:

C (Top Right)

Step-by-step explanation:

First things first, the line is dotted which makes it one of the answers since it's less than, instead of equal to or less than. Both numbers are positive, the bottom left graph goes into the -x while the top right graph keeps the slope increasing positively by 1/3 + 1.

The boundary line of the inequality y <1/3x+ 1 is represented by the graph C.

Let us find two points on the line.

You can choose any x-values you like and calculate the corresponding y-values using the equation.

When x=0 then y=1.

When x=3, then y=2

Now let us find the graph in which the line passes through (0, 1) and (3, 2).

The boundary line should be dotted because it is less than and doesnot have equal symbol.

When we observe these two criteria's the graph C is the graph for inequality y <1/3x+ 1.

Hence, Graph c correctly shows the boundary line of the inequality y <1/3x+ 1.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ3

Sam says that the length of diagonal SQ is two times the length of diagonal OM.

Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

Answers

Answer:

Sam is NOT correct

Step-by-step explanation:

Let's find the diagonal measures using Pythagorean and compare:

[tex]SQ=\sqrt{12^2+6^2} =\sqrt{4*6^2+6^2} =\sqrt{5*6^2} =6\sqrt{5}[/tex]

and

[tex]OM=\sqrt{6^2+6^2} =\sqrt{2*6^2} =6\sqrt{2}[/tex]

Find the ratio of diagonals:

SQ / OM = √5 / √2 ≠ 2

Miss Jurkovac went to Costa Rica for 6 days and saw 42 monkeys. If she saw 84 monkeys, how many days was she there?__________ days

Answers

Answer:

Step-by-step explanation:

6 times 2 is 12

42 multiplied by 2 is 84

therefore the answer is 12 days.

A man is walking at 7km/hr. How long will he take to cover a distance of 42km?

Answers

[tex] \: \: \: \: \: \: [/tex]

1.75hrs

Step-by-step explanation:

it would take 1.75 hrs to cover a distance of 7 kilometres by walking 4 kilometres per hour

speed= Distance/Time

= 4/1 = 4

Time Distance/Speed

= 7/4 =1.75hrs.

hope it helps

[tex] \: \: \: \: \: \: [/tex]

A dog park is divided into sections for large and small dogs. The ratio of the perimeter of the small dog section to the perimeter of the entire dog park is 7 : 12. Find the area of each section.

Answers

Answer:

58

Step-by-step explanation:

Help??? Lma.o sorry I need the answer asap

Answers

Answer:

f(5)=38

Step-by-step explanation:

f(5) means x=5, or in this case, a=5. We plug in 5 as A. f(5)=7(5+1)-4. f(5)=7(6)-4.

f(5)=42-4

f(5)=38

Select whether the equation has a solution or not.
√5-7
no roots
O roots

Answers

☆Answer :

[tex] \sqrt{x} = 7[/tex]

[tex]x = {7}^{2} [/tex]

[tex]x = 49[/tex]

Root.

Two points are shown on the number line. Which value is best represented by the point F? 

Answers

Answer:

I believe its d

A triangle has an angle that measures 60°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answers

Answer:

180

Step-by-step explanation:

all 3 angles of all triangles sum to 180

if one angle = 60, the other two angles sum to 120

a 3:5 ratio means one angle is 3/8 of 120 and the other is 5/8 of 120

3/8 times 120 = 3(120)/8 = 3(15)= 45 degrees

5/8 times 120 = 5(120)/8 = 5(15) = 75 degrees

45+75 = 120

120+60 = 180 degrees = sum of all 3 angles

in case you need an explanation and can I be get brainlest?

,5³-(2 la puterea 35 x 3 la puterea 36 x cinci la puterea 14)x(2 x 3 la puterea 4x 5 la puterea 19).2 la puterea 4 (d din poza)

Answers

Answer: 5³- (2 at power 35 x 3 at power 36 x five at power 14) x (2 x 3 at power 4x 5 at power 19) .2 at power 4 (d in the picture)

Step-by-step explanation:

A truck is carrying
10^3
bushels of apples,
10^2
bushels of grapes, and
10^1
bushels of oranges. Each bushel of apples weighs 32 pounds, each bushel of grapes weighs 25 pounds, and each bushel of oranges weighs 42 pounds. What is the total weight of the fruit in pounds?

A.
3,592 pounds

B.
5,742 pounds

C.
32,299 pounds

D.
34,920 pounds

Answers

[tex]\begin{cases} \stackrel{apples}{10^3}\\ \stackrel{grapes}{10^2}\\ \stackrel{oranges}{10^1} \end{cases}\qquad \begin{cases} \stackrel{lbs}{32}\\ \stackrel{lbs}{25}\\ \stackrel{lbs}{42} \end{cases}\qquad \begin{array}{rllll} 10^3\cdot 32\\ 10^2\cdot 25\\ +\qquad 10\cdot 42\\\cline{1-1} 34920&lbs \end{array}[/tex]

y= -6x + 1/2


PLEASE I NEED THE ANSWER AND EXPLANATION

Answers

Answer:

m = -6 (slope)

b = (1/2)

The Y posistion is (0, 0.5) and the slope of the graph is -6/1 (down 6, right 1).

Some examples of where the line is could be:

(1, -5.5)

(-1, 6.5)

The difference of twice a number and 7 is 20. Find the number.

Answers

Answer:

twice the difference gives 2(difference). 7 = 14  20 = 40

Step-by-step explanation:

Six times a number plus 7 is equal to 55. What is the number?

Answers

Answer:

6x_+7=55, the answer is 13, why? well because if you add 6+7 you will have 13, now you can multiple that by 5, and you will have 55 as an answer, did I helped you?

The swimming club need to raise £135 for transport to the swimming gala.

They buy 20 tracksuits for £15.98 each and will sell them to raise money.

What percentage profit should they add to the cost of the tracksuits to raise the £135 they need?

Answers

Answer:

Step-by-step explanation:

The investment was

20(£15.98) = £319.60

After the sale, they want to have

£319.60 + £135.00 = £454.60

Which means each suit sells for

£454.60/20 = £22.73

The markup was

£22.73 - £20.00 = £2.73

which as a fraction of the purchase price is

£2.73/£20.00 = 0.1365

0.1365(100) = 13.65%

pls help with number 12 i will give brainliest

Answers

Answer:

My man Zachary is right!

Step-by-step explanation:

The rule is so very simple!

Whenever a negative, anywhere in the equation multiples to another negative, it is always a positive!

Whenever a positive number multiples to a negative number anywhere in the equation, it is always a negative number!

So Negative*Negative is Positive (-10 x -10 = 100)

And Positive*Negative is always negative (-10 x 10 = -100)

And we both know that Positive times positive is positive. (10 x 10 = 100)

Need some help!!!!! This is hard for me!

Answers

Answer:

X-intercept: (25,0)

Y-intercept: (0,55)

Step-by-step explanation:

Questions
Fine the area of the triangle whose vertices are (-2,2), (1,-2) and (0,2).

Answer:


a) 16
b) 8
c) 4
d) 2

Answers

Answer:

The answer to this is c) 4.

What is the value of x if a slope is 2, and a line passing through (x, 3) and (1,5).

Answers

Answer:

x = 0

Step-by-step explanation:

Slope = change in y/change in x

Slope = 5-3/1-x

2 = 2/1-x

2(1 - x) = 2

2 - 2x = 2

2 = 2 - 2x

0 = -2x

x = 0

-Chetan K

Three friends do
Word together for 5 days. The first friend does it alone for 15days. The second friend does it alone for 12 days.
many days does the third do it alone for?

Answers

Answer:

I think 9 days

Pls mark as brainliest answer if it helps you

4

in one month we have 31 days so

31-15-12=4

hope it helps

15 points plz answer soon

Answers

Answer:

P(ΔTRP) = 36 m

Hope this helps!

Use proportional reasoning to solve problems involving ratios. (Activity Sheet #4 & 5)

The size of a television is the length of the diagonal of its screen in inches. The

aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of

newer wide-screen televisions is 16:9. Find the width and height of an older 20-

inch television whose screen has an aspect ratio of 4:3. Show all work to receive

credit.

Answers

Answer:

Step-by-step explanation:

(3x)² + (4x)² = 20²

9x² + 16x² = 400

25x² = 400

x² = 16

x = 4

height = 3(4) = 12 inches

width = 4(4) = 16 inches

Write recursive and explicit formula for the arithmetic sequence 10, 40, 70,100,130

Answers

in the sequence we can see that we arrive at the next term by simply adding 30 to the current one, thus

[tex]\stackrel{\textit{Explicit, only requiring argument susbtitution}}{f(n)~~ = ~~n + 30}~\hfill \stackrel{\textit{Recursive, requiring ordinal position}}{f(a)~~ = ~~ a_{n-1}+30}[/tex]

[tex]x^{2}[/tex] = 6

Answers

Answer:

Take the root of both sides and solve.

[tex]x = \sqrt{6} , - \sqrt{6} [/tex]

Answer:

Take the root of both sides and solve:

[tex]x = \sqrt{6}, - \sqrt{6} [/tex]

Mary was asleep from 9:pm to 5:am. How long was she asleep for?​

Answers

Answer:

8 hours

Step-by-step explanation:

Answer:

8hours

Step-by-step explanation:

Other Questions
pls help its timed c: mention the obstacles to the modernization of agriculture in Nepal Why is the king disappointed when his child is born a girl in atalanta the fleep footed huntressQuestion 1 options:He knows that the hunters will want to raise her to be a huntress instead of a quiet lady.He does not want to give his daughter to the bear.He thinks she can only sing and spin and can never be a king.He is afraid that she will grow up to ride, hunt, fight in wars, and rule over a kingdom. According to the table what was the hikers total displacement the graph has 4km 6km 4km 6km Answer asap pleaseeeee PLEASE HELP FAST!!!!!1. Which number has a real component of 16 and an imaginary component of 10?A: 16 + 10iB: 10+ 16iC: 16 - 10iD: 10 - 16i Which of the following forms a Pythagorean triplet?a)3, 4, 6 b) 5, 12, 13 c) 6, 7, 14 d) 8, 6, 16(hey kid can you answer fast)NO USELESS THINGS OR WRONG ANSWERS FOR I WILL REPORT YOU. What mass of glucose (C6H12O6) should be dissolved in 10. 0 kg of water to obtain a solution with a freezing point of -4. 2 C?. Need help She could also make yogurt at home for $1$1 a quart after spending $24$24 on a yogurt maker.The graph shows the cost of yogurt bought at the grocery store and made at home. How many quarters are there in 5 1/2 Pick out the correct Simple Present Tense for the given sentence:- a. The match ---------- at 9 o'clock* starts will start has started have you ever been bashed online ? if yes , what did you do to control the situation ? if no , what can you suggest to control the situation ? Agricultural science,Soil structure !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!2 In Southern Europe, the Latin branch of the Aryan-speaking family became what five different, but closely related, languages? Our temperament is influenced by ________, or how we respond to new or challenging environmental stimuli and ________, our ability to control our response. because of the relationship between net capital outflow and net exports, the level of net capital outflow at the equilibrium real interest rate implies that the economy is experiencing How many People die each year by a lion attack The dominant poetic foot of this poem is A) anapestic B) dactyllic C) iambic D) trochaicPoem:An awful tempest mashed the air, The clouds were gaunt and few; A Black, as of a spectre's cloak, Hid heaven and earth from view. The creatures chuckled on the roofs And whistled in the air, And shook their fists and gnashed their teeth, And swung their frenzied hair. The morning lit, the birds arose; The monster's faded eyes Turned slowly to his native coast, And peace was Paradise! What is the chemical composition of shale?