Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4
y=​

Write An Equation Of The Line In Slope-intercept Form. JY 1 (3, 3) (0, 2) 2 4y=

Answers

Answer 1

Correct answer: y = [tex]\frac{1}{3}[/tex]x + 2

To find out the slope, you would need to remember this slope formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex], and (0, 2) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug these numbers into the slope formula to find out the slope:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] → [tex]\frac{2-3}{0-3}[/tex] → [tex]\frac{-1}{-3}[/tex] → [tex]\frac{1}{3}[/tex]

To find out the y-intercept, just substitute (3, 3) into the slope-intercept formula ( y = mx + b ) with the slope that is substituted for 'm' that we already solved earlier.

y = mx + b

(3) = [tex]\frac{1}{3}[/tex](3) + b

3 = 1 + b

2 = b

You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.

Now we know that m = [tex]\frac{1}{3}[/tex] and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = [tex]\frac{1}{3}[/tex]x + 2.

Hope this helps you! Let me know if you have any more questions related to this problem.


Related Questions

HELPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

The answer is 9 so B

In the equation x² + 64 = 16x, the roots are ____.

Answers

Answer:

square roots are x, 8, 4x

Step-by-step explanation:

x^2 square root is x

64 square root is 8

16x square root is 4x

Simplify 12 to the power of 3 over 12 to the power of 7

A). 12 to the power of 4
B). 12 to the power of 10
C). 1 over 12 to the power of 4
D). 1 over 12 to the power of -4

Answers

C; subtract the exponents. Since 12 to the power of 7 is bigger, then u subtract the 3 from the seven and keep the 12 to the power of 4 on the bottom with a one on the top.

Answer:

The correct answer I think is D

Step-by-step explanation:

The explanation of the other person is right, but you do 3-7, which gives u -4

In the month of September, all of the Kroger grocery stores in Nashville sold 429,382 eggs. In that same month, all of the Kroger grocery stores in Memphis sold 283,054 eggs. How many eggs did the Nashville and Memphis Kroger grocery stores sell all together in the month of September? Use 2 strategies to show how you found out how many eggs Kroger sold in September.

Answers

Answer:

712436 eggs were sold together

Step-by-step explanation:

429,382 + 283,054 = 712436

create a equation for this exponential function

Answers

Answer:

f(X) 70x49

Step-by-step explanation:

ALGEBRA question 100 POINTS. Easy

Answers

Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7

Step-by-step explanation:

Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7

Step-by-step explanation: I am sure of my answer

answer I'll give brainliest to the first one
SERIOUS ANSWERS ONLY​
10 points

Answers

Answer:

1: 24 girls

2: 640

3: 300

4: 3/10

5: 42

Step-by-step explanation:

1: 2/5 × 40

80÷ 5

16

girls = 40- 16

= 24

2: 1/3 × 960

960 ÷3

= 320

Left = 960 - 320

= 640

3: 3/8 × 480

1440 ÷ 8

= 180.

Left = 480 - 180

= 300

4: 2/5 × 3/4

= 6/20

= 3/10

5: 2/5 × x = 18

2x = 28 × 5

2x = 140

x = 70

70 - 28

= 42

Step-by-step explanation:

1. 24 girls

2.600

3.300

yan lang alam ko insan

what is 4/5 divided by 2/3 simplest

Answers

Answer:

1 1/5

Step-by-step explanation:

4/5 ÷ 2/3

4/5 × 3/2

12/10

6/5

1 1/5

what is the value of 17-2(5-3)

Answers

Answer:

13

Step-by-step explanation:

17-10+6

7+6=13

hope it helps

2x=20−2

Value of x!!!​

Answers

Answer:

[tex]\sf\longmapsto \: x = 9[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 2x = 20 - 2[/tex]

[tex]\sf\longmapsto \: 2x = 18[/tex]

[tex]\sf\longmapsto \: x = \frac{18}{2} [/tex]

[tex]\sf\longmapsto \: x = 9[/tex]

Hello there! :)

2x=20-2

2x=18

Divide both sides by 2 to isolate x:

x=9

Hope this helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Find the gradient of the line Joining the points p(-2,6) and Q(3,-2)​

Answers

Answer:

[tex] - \frac{8}{5} [/tex]

Step-by-step explanation:

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

(x₁, y₁) is the 1st coordinate while (x₂, y₂) is the 2nd coordinate.

Gradient of the line

[tex] = \frac{6 - ( - 2)}{ - 2 - 3} [/tex]

[tex] = \frac{6 + 2}{ - 5} [/tex]

[tex] = - \frac{8}{5} [/tex]

What is 24659 rounded to the nearest Highest Place

Answers

It will be 2000 as the highest place

Answer:

20000

Step-by-step explanation:

You take the first non zero number on the left then add zeros for the remaining digits.

Determine if the equations are intersecting, parallel, or coincident.
-2 +y = 8
- 3x + 4y = 28
intersecting
coincident
parallel

Answers

the answer is coincident

Plz help me

Determine whether the following sets form subspaces of R^3:

(a) {(x1,x2,x3)^T |x1+x3=1}

(b) {(x1,x2,x3)^T |x1=x2=x3}

Answers

Answer:

a.

Step-by-step explanation:

hope it's helpful

brainliest me pls

******Please help me please help me help please help*****

Answers

9514 1404 393

Answer:

  (c)  y = 36·5

Step-by-step explanation:

If x represents the number of chocolates, the given formula ...

  y = kx

with the values k = 36 and x = 5 inputted will look like ...

  y = 36·5

Given the relation shown in the table below :

Answers

Answer:

domain: -7, -1, 0, 1

Range: -1, 0, 1, 2, 7

Step-by-step explanation:

I don't know the drop-down menu choices so I can't answer that one for you sorry :(

But I hope this helps :)

-3-(-5)What is the answer to this equation

Answers

Answer:

2

Step-by-step explanation:

[tex] - 3 - ( - 5) \\ - 3 + 5 \\ 2 \\ [/tex]


The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.
(a) Show that k satisfies k^2+2k-3>0

Answers

Step-by-step explanation:

For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,

b^2 - 4ac must be positive.

b^2 - 4ac > 0

(k - 3)^2 - 4(3 - 2k) > 0

k^2 - 6k + 9 - 12 + 8k > 0

k^2 + 2k - 3 > 0

To show that k satisfies k² + 2k - 3 > 0 ,the discriminant is given as Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]

How to prove the expression

To have two distinct real roots, the discriminant of the quadratic equation must be positive. The discriminant is given by;

Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]

For two distinct real roots, Δ > 0. So, we have k² + 2k - 3 > 0. Thus, k satisfies the inequality k² + 2k - 3 > 0.

In summary, for the quadratic equation x² + (k - 3)x + (3 - 2k) = 0 to have two distinct real roots, the value of k must satisfy the inequality k² + 2k - 3 > 0

Learn about quadratic equations at: https://brainly.com/question/1214333

#SPJ3

CE TASK
V.
3
The carpenter spent 7/8 of his money on bags of sand for the sandbox. He spent 1/2 of the rest
of his money on some packs of bunting flags to decorate thesandbox and had $19.90 left How much money did the carpenter start with? Draw a bar model to show your work

Answers

Determine how much money did the carpenter start with

The total money with the carpenter is $318.4

Given:

let

x = total money with the carpenter

Bags of sand = 7/8 of x

= 7/8x

Money remaining = x - 7/8x

= (8x-7x) / 8

= 1/8x

Bags of bunting bags = 1/2 of 1/8x

= 1/2 × 1/8x

= 1/16x

Money left = $19.90

Total money = bags of sand + bag of bunting flag + money left

x = 7/8x + 1/16x + 19.90

x = (14x + x) / 16 + 19.90

x = 15/16x + 19.90

x - 15/16x = 19.90

16x - 15x / 16 = 19.90

x/16 = 19.90

divide both sides by 1/16

x = 19.90 ÷ 1/16

= 19.90 × 16/1

= 318.4

Therefore, the total money with the carpenter is $318.4

Read more:

https://brainly.com/question/7852538

Describe a way to make the arithmetic problem 45% x 680 mentally

Answers

Answer:

306.

Step-by-step explanation:

Firstly, we are aware 100% of 680 is obviously 680,

Next, we know half of a 100% is 50% therefore half of 680 is 340.

Then, we know 45% is 5% less than 50%

To find 5% of a number mentally, divide it by 10 as 100÷5=20

680÷20=34

Lastly 50% subtracted by 5%: 340-34=306.

Now we know, 45% of 680 is 306.

Hope this helps.

Hope this helps.Please mark BRAINLIEST.

What is 906 times 45

Answers

Answer:

40770

........................

Answer:

40,770

Step-by-step explanation:

how would I write 6 less than a number


A.6-X
B.6X
C.X-6
D.X/6​

Answers

Answer:

C) X-6 , In subtracting the first number is greater than the second.

Hope it's help.

please help me with this sum​

Answers

Answers:

59 × 9 = 531

63 × 8 = 504

83 × 4 = 332

38 × 5 = 190

72 × 6 = 432

48 × 4 = 192

19 × 3 = 57

58 × 2 = 116

73 × 8 = 584

60 × 7 = 420

36 × 5 = 180

56 × 7 = 392

75 × 3 = 225

63 × 6 = 378

73 × 3 = 219

70 × 5 = 350

57 × 6 = 342

53 × 7 = 371

27 × 6 = 162

29 × 4 = 116

73 × 3 = 219

49 × 9 = 441

92 × 2 = 184

57 × 9 = 513

36 × 3 = 108

I am a 4digit numbe the sum of my middle two digit is 6 remove my middle two digit and Iwill become95. The digit inthe hundred place is 9less than the digit in the thousand place What number am I

Answers

Answer:

9065

Step-by-step explanation:

A Four digit Number

sum of A+B=6

Hundreds Place is 9 lesser than thousand Place

2 Middle Number remove = 95

Thousand= 9

Hundreds = 0

Tens=6

Ones=5

Answer:

here you go

Step-by-step explanation:

0+6 = 6

remove two middle numbers i become 95 which means the two outer numbers are 9 and 5

answer is 9065

The property tax on a house with an assessed value of $606,000 is $7070. Determine the property tax on a house with an assessed value of $810,000, assuming the same tax rate.


The property tax is $___?

Answers

Answer:

9450

Step-by-step explanation:

.........................

What is the length of ef in the right triangle below?

Answers

Answer: A

Step-by-step explanation:

Using pythagoras;

[tex]25 = \sqrt{7^{2}+ x^{2} }\\25^{2}=7^{2} +x^{2} \\625 = 49 +x^{2} \\576 = x^{2} \\x = 24[/tex]

Please give me a brainliest answer

Answer:

24

Step-by-step explanation:

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2​. While if a, b, and c are the sides of the triangle, then ​c2 = a2 + b2.

√(25²-7²) =

√(625-49)=

√576=

24

Multiply or divide.
[tex] \frac{8}{12} = \frac{?}{?} = \frac{?}{?} [/tex]

Answers

Answer

8/12=4/6=2/3

When simplifying, if both the numerator and the denominator are even you can just divide them by two

A group of 16 people is choosing a chairperson and vice-chairperson. They put all 16 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

Answers

Answer:

2 in 16

Step-by-step explanation:

The question is in the screenshot!!

Answers

Yeah, but can we see the screenshot

(7x)(2xy) how do I rewrite that as a sum

Answers

This is the answer 14x2y
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