Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).
y =

Answers

Answer 1

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-1, 4) and (0, 2)

[tex]=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2[/tex]

Therefore, the slope of the line is -2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-2x+b[/tex]

2) Determine the y-intercept

[tex]y=-2x+b[/tex]

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

[tex]y=-2x+2[/tex]

I hope this helps!


Related Questions

KaVaugn wants to solve the following system using the elimination method:

y = x − 6
y = -4x − 19

What number should the equation y = x − 6 be multiplied by to eliminate x? (4 points)

a
1

b
2

c
4

d
−6

Answers

I believe that the answer is C

Answer:

d.-6

Step-by-step explanation:

sana makatulong

HELP ME OUT GUYS!!!! Question is in the screenshot below.

Answers

Answer:

87.55 [tex]cm^2[/tex]

Step-by-step explanation:

Please help I'm failing

Answers

Answer:

Unit rate!

Step-by-step explanation:

A unit rate is a rate that has a denominator of 1!

~ LadyBrain

if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number​

Answers

Answer:

27/2 is the value of the number.

Let the number be x.

According to the question,

12(x-12)=18

x-12=18/12

x-12=3/2

x=3/2+12

x=3/2+24/2

x=27/2

HOPE IT HELP :)

Answer:

13.5    27/2      13 (1/2)   all the same

Step-by-step explanation:

(x-12)x12  = 18

12x-144 = 18

12x = 162

x = 162/12 = 27/2  = 13(1/2) = 13.5

what is the value of x? i need the work for it as well thank you so much!

Answers

the answer would be x=19

Answer:

x=19

Step-by-step explanation:

okay so all those angles there are pretty simple. because of the vertical angles theorem, the angles that go across from each other are equal to each other. On a thing like this those intersections are congruent. So knowing this we can assume that (6x+4)=118. so if you solve the basic algebra for that (you can use mathpapa or smt if you really need the work for that) then it comes out as x=19 which you can check.

6x+4=118

subtract 4 from both sides

6x=114

divide by 6 on both sides

x=19

Hope this helps!

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what sea is in simplest radical form

Answers

Answer:

C = 18

Step-by-step explanation:

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form

Solution:

A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.

The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).

A right angled triangle is a triangle with one angle equals to 90 degrees.

Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:

sin30 = 9 / C

0.5 = 9 / C

C = 9/0.5

C = 18

Sweet onions are on sale for $0.79 per pound. If an onion weighs 8 oz, how much does it cost to buy 5 onions?

Answers

The answer is 3.95
I just times 79 x 5

Answer:

a pound is 16 oz. so 2 onions are a pound. meaning 5 onions equal 2 1/2 pounds.

2.5 × 0.79 = $1.975 (about $1.98)

A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!

Answers

Answer:

16/27

Step-by-step explanation:

12 boys and 16 girls

She already chose a boy so now there are (11+16) = 27 possible outcomes

There are 16 favorable outcomes(girl)

so the fraction is 16/27

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

50.26 to nearest hundredth

Answers

Answer:

it's already in the hundredths place

Step-by-step explanation:

.1 <- tens place

.01<- hundredths place

.001<-thousands place

The distance between D(-3,5) and E(x, 9) is 15. Find the value(s) of the
missing coordinate.

Answers

9514 1404 393

Answer:

  x ≈ -17.457  or  11.457

Step-by-step explanation:

The distance formula can help.

  d = √((x2 -x1)² +(y2 -y1)²)

Substituting given values, we have ...

  15 = √((x -(-3))² +(9 -5)²)

  225 = (x +3)² +16 . . . . . . . . square both sides

  209 = (x +3)² . . . . . . . . . . . subtract 16

  ±√209 = x +3 . . . . . . . . . take the square root

  -3 ± √209 = x . . . . . . . . subtract 3

  x ≈ -17.457  or  11.457

Which equation represents the word sentence shown below?

The quotient of a number band 0.3 equals negative 10.

Answers

Answer:

where are the equations?

Step-by-step explanation:

tell me and I will edit my answer to answer ur question

Answer:

Step-by-step explanation:

What are the coordinates for
y = 3x + 5
y= -2x + 20

Answers

y = 3x + 5
(0,5) (1,8)

y = -2x + 20
(0,20) (1,18)

x=16

y=-12

Hope this helped :T

Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?

Answers

L*W*H gets you 18 cubic inches and is each holds 0.55 fluid ounces then that gets you a total of 9.9 fluid ounces

Please help with these questions. Write answer for 19 and 20 thank you

Answers

Answer: It let me add an answer!! For number 19. The answer is y > 3x - 3. And for number 20. The answer is y is less than or equal to 1/2x + 1

Have a nice day! :)

I need help with this please it’s?

Answers

Answer:

the answer to the question is C

the diagram shows an isosceles triangle. all measurements are in cm.

3x-5 19-x
2x

work out the perimeter of the triangle

Answers

Answer: 38

Solution: An isosceles triangle has two equal sides: 3x - 5 and 19-x.; 3x - 5 = 19 - x; 4x = 24; x = 6

Let's check it out: 3(6) - 5 = 13; 19 - (6) = 13; 2(6) = 12

Two equal sides are 13 and base 12

Perimeter is 13 + 13 + 12 = 38 units

Answer is: 38

The perimeter of the given isosceles triangle is 38 cm.

What is the perimeter of an isosceles triangle?

The perimeter of an isosceles triangle refers to the addition of all the three sides of the triangle. Since the base angles of an isosceles triangle have two angles and two sides equal;

We can say that the perimeter of an isosceles triangle is:

P = 2a + b

where;

a = sides of the base anglesb = third side

3x - 5 =  19 - x

3x + x = 19 + 5

4x = 24

x = 24/4

x = 6

The perimeter of the isosceles triangle is:

= 3x - 5 + 19 - x + 2x

= 3(6) - 5 + 19 - 6 + 2(6)

= 18 + 8 + 12

= 38 cm

Learn more about the perimeter of an isosceles triangle here:

https://brainly.com/question/11296804

Find the area of the combined rectangles. Please help me

Answers

Answer:

8: 190 yd , 9: 30 m, 10: 92 ft

Step-by-step explanation:

for 8, you can spit it up pretty simply. find 10x18 which is 180 and then 5x2 which is 10 so 8 is 190.

for 9, 2x8=18 for the top portion and for the sides 3x2=6, so twelve. Combined its 30m.

for 10, 10x8=80, then 6x2=12. so 92 ft combined.

Does anyone know how to find the volume of a cylinder?​

Answers

Answer:

V=πr2h

you could've searched this up but i hope this helps anyway

bill plays a game of a chance at school fair.
he spins these 2 spinners.
if the sum of his number is an even number, he will win a prize.


complete this addition chart to show the possible totals

Answers

Answer:

well... this normal addition

Step-by-step explanation:

9+8=17

9+1=10

5+4=9

5+2=7

3+4=7

3+1=4

Kenny'sofficehadalreadyrecycled29kilogramsthisyearbeforestartingthenewrecyclingplan,andthenewplanwillhavetheofficerecycling1kilogramofpapereachweek.HowmanyweekswillittakeKenny'sofficetorecycleatotalof43kilogramsofpaper?

Answers

Answer:

hi people of the 21 century

Step-by-step explanation:

A cone has a radius of 2 centimeters and a height that is 24 cm. Using 3.14 for pi, which of the following can
be used to calculate the volume of the cone?

Answers

Answer:

option 3

Step-by-step explanation:

[tex]volume = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times 2^2 \times 24[/tex]

Select the correct answer.
Which inequality can this number line represent?
PLEASE HELP!!!!

Answers

Answer:

A, because x>3 or x<-4

Answer: D is the answer.

-4 < x < 3

Step-by-step explanation:

5x-2>-22 and 6x - 7 < 11

5x > -20 and 6x < 18

x > -4 and x < 3

Rearrange: -4 < x < 3 answer choice D

I need help on this question

Answers

Answer:

well first figure out the area of the parallelograms and divide the full area by the area of the pieces.

Step-by-step explanation:

Find the sum, if it exists, of the infinite geometric series S= 1/181 + 1/27+ 1/9+….

a)S= 1/54

b)S=1/9

c)S=1/6

d)This infinite geometric series diverges.

Answers

Answer:

S∞=12. Explanation: Formula for sum of infinite geometric series is. S∞=a11−r ; −1<r<1. We have a geometric series ...

Step-by-step explanation:

That's it hope it helps.^^

#carryonlearning

Can I get a answer for all of it?

Answers

Answer:

R'=(-3,6)

Q'=(-3,-3)

S'=(7,6)

T'=(7,-3)

Answer:

see explanation

Step-by-step explanation:

A translation of 7 units right means adding 7 to the x- coordinate. The y- coordinate remains unchanged, then

Q (- 10, - 3 ) → Q' (- 10 + 7, - 3 ) → Q' (- 3, - 3 )

R (- 10, 6 ) → R' (- 10 + 7, 6 ) → R' (- 3, 6 )

S (0, 6 ) → S' (0 + 7, 6 ) → S' (7, 6 )

T (0, - 3 ) → T' (0 + 7, - 3 ) → T' (7, - 3 )

who wants points and brainlist..........

Answers

Answer:

53.87 because 4 cant round the 6

Step-by-step explanation:

Answer:

53.87

Step-by-step explanation:

4 cannot round the 6

please check screenshot

Answers

Answer:

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Step-by-step explanation:

The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

A tire has a circumference of 69.1 inches. To the nearest inch, which is the diameter
of the tire?

Answers

Answer:

22 inches

Step-by-step explanation:

so to find the diameter you divide the circumference by pi(3.14)

69.1÷3.14=22.006

now rounding that you get 22

5 (x + 8) = -10 what's the answer ​

Answers

Answer:

x = - 10

Step-by-step explanation:

5(x + 8) = - 10

5x + 40 = - 10

5x + 40 - 40 = - 10 - 40

5x = - 50

5x ÷ 5 = - 50 ÷ 5

x = - 10

which statement is the best example of the chemical weathering of water

Answers

Limestone rocks dissolving in water. All other options are forms of physical weathering.
Limestone rocks dissolving in water. All other options are forms of physical weathering.
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