the equation y+6=1/3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?

A. y= 1/3x-3
B. y=1/3x+9
C.y=1/3x-9
D. y=1/3x+3

Answers

Answer 1

y+6=1/3(x-9)

Moved all terms from left to right that doesn't contain y

Y=-6 +1/3x-3

Simplify

Y=1/3x-9


Your answer is c.

Answer 2

Answer: [tex]y=\dfrac{1}{3}x-9[/tex]

Step-by-step explanation:

The equation of a line in slope -intercept form is written as :-

[tex]y=mx+c[/tex]

The given equation : [tex]y+6=\dfrac{1}{3}(x-9)[/tex]

To write the given equation in slope - intercept form , we need to first solve the right -hand sides in the equation.

[tex]y+6=\dfrac{1}{3}(x-9)\\\\\Rightarrow\  [tex]y+6=\dfrac{1}{3}x-3\\\\\Rightarrow\ y=\dfrac{1}{3}x-3-6\\\\\Rightarrow\ y=\dfrac{1}{3}x-9[/tex]

Hence, the equation written in slope-intercept form :  [tex]y=\dfrac{1}{3}x-9[/tex]


Related Questions

I don’t understand this, please help

Answers

Hello !

1.     15 + 37 = 52

2 .    22+ 49 = 71

3 .     33 + 26 = 59

4 .      34 + 18 = 52

I found these answers by adding the squares together .

I figured out question 4 by adding the amount of feet the tree grew.

Final answer:

The subject of this question is English, which involves studying language, literature, and writing. It helps students develop communication and critical thinking skills

In English class, students study various aspects of language, literature, and writing. This can include topics such as grammar, vocabulary, literary analysis, reading comprehension, and creative writing. English is an important subject as it helps students develop strong communication skills, critical thinking abilities, and a deeper understanding of different cultures and perspectives.

1440 in expanded form

Answers

1+4+4+0 it’s just putting the letters in order and putting a addition mark between em
One thousand four hundred forty

the larger number is 18 more than twice the smaller. if the sum of. the two numbers is 93, find both numbers.

Answers

[tex]<b>HEY THERE ![/tex]

Let the smaller number is X

and the larger number is Y

NOW according to question the larger number is 18 more than twice the smaller.

so y = 2x+18.......(1)

And the sum of. the two numbers is 93
So x+y = 93......(2)

From equation (1) put the value of y in equation (2)
=> x+2x+18= 93
Subtract 18 on both sides
=> 3x = 75
Divide by 3 on both sides
=> x = 15

Now put this new value of x in equation (1)
y = 2×15+18
=> y = 48

So the smaller number is 15 and the larger number is 48.

HOPE IT HELPED YOU.

The larger number is 68 and the smaller number is 25.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the larger number is 18 more than twice the smaller. if the sum of. the two numbers are 93. let the larger number be L and the smaller number be S.

L = 18 + 2S

L + S = 93

18 + 2S + S = 93

18 + 3S = 93

3S = 93 - 18

3S = 75

S = 25

L + S = 93

L + 25 = 93

L = 93 - 25

L = 68

Therefore, the larger number is 68 and the smaller number is 25.

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What is the degree of the monomial? 3x^10
10
3
13
30

Answers

i would say 10 if it is an exponent

The degree of the monomial 3x¹⁰ is 10, which is the sum of the exponents of the variables it contains.

The degree of a monomial is the sum of the exponents of all its variables. In the monomial 3x¹⁰, there is only one variable (x) with an exponent of 10. Therefore, the degree of this monomial is 10.

No other operations, such as cubing of exponentials, are relevant in this context.

You are remodeling your kitchen. You’ve contacted two tiling companies who gladly told you how long it took their workers to tile a floor of a similar size. Jim completed half the floor in 12 hours . Pete completed the other half in 10 hours. If Pete can lay 25 more tiles per hour than Jim, what equation would you use to find the rate that Jim can lay tiles. Let x represent Jim’s rate

Answers

As given, let Jim's rate = x

Let Pete's rate =y

Jim completed half the floor in 12 hours so it's [tex]12\times rate[/tex]= 12x 

Pete completed the other half of the floor in 10 hours so its [tex]10\times rate[/tex]=10y

As floor area is equal so,

[tex]12x=10y[/tex] .............(1)

Now, given is that Pete can lay 25 more tiles per hour than Jim, this gives=

[tex]y=x+25[/tex] ...... (2)

Putting the value of y from equation (2) in equation (1) , we get

[tex]12x=10(x+25)[/tex]

So, the equation is : [tex]12x=10(x+25)[/tex]

If you want to solve it, it becomes:

[tex]12x=10x+250[/tex]

[tex]2x=250[/tex]

[tex]x=125[/tex]

Hence, Jim can lay 125 tiles and Pete can lay 25 more so 125+25=150 tiles.



Answer:

12x=10(x+25)

Step-by-step explanation:

apex

What’s the answer to this equation? 5-3(2a-6)=-6a+13

Answers

Answer:

12a - 31 = 0

Step-by-step explanation:

3(2a - 6) = -6a + 13

6a - 18 = -6a + 13

6a - 18 + 6a - 13 = 0

12a - 31 = 0

The sum of 2 and is less than -29

Answers

the answer is 27 I think
Sum means to add, so instead of -29 - 2, the problem is -29 + 2 which equals,
-29 + 2 = -27

The answer is -27

Please help, i did it just dont want to get a bad grade for homework so need somone to double check.

Answers

A. [tex]f(-5)=7+|-5|=12[/tex]

B. [tex]g(4)=4^3-5=59[/tex]

C. [tex]f(0)=7+|0|=7[/tex]

D. [tex]f(2)=7+|2|=9[/tex]

E. [tex]g(-2)=-2^3-5=-13[/tex]

Hope this helps BangtanBoyScouts

can some one help me please

Answers

First one 18 yards                                                                                                               Second one:204 inches                                                                                                  Third :36 foot


a. 54 ft. =18 yd. 17 ft. = 204 in. 12 yd. = 36 ft.

I need help solving this: Solve: 6 = 2m + 14

Answers

Take the like terms on one side:

2m=6-14

2m = 8

m= 8/2

m= 4
2m = 6 - 14
2m = 8
I hope this helps I'm not really sure

Gretchen went to the market.she bought 4/8kg of flour and 8/9kg of rice.How much more rice than flour did she buy?

Answers

Gretchen bought 7/18 more rice than flour.

Which value below is included in the solution set for the inequality statement?
-3(x - 4) > 6(x - 1)

Answers

[tex]-3(x-4) > 6(x-1)\qquad\text{use distributive property}\\\\(-3)(x)+(-3)(-4) > (6)(x) + (6)(-1)\\\\-3x+12 > 6x-6\qquad|\text{subtract 12 from both sides}\\\\-3x > 6x-18\qquad|\text{subtract 6x from both sides}\\\\-9x > -18\qquad|\text{change the signs}\\\\9x < 18\qquad|\text{divide both sides by 9}\\\\x < 2[/tex]

find the slope of the line

Answers

answer:

slope: -[tex]\frac{3}{4}[/tex]

step-by-step explanation:

for this problem we are asked to find the slope of the line

our equation for slope is: [tex]\frac{rise}{run}[/tex]

so using our graph we need to find both the rise and run to get from one point to another

going from the point (-2, -2) to (2, 5)

rise: -3 (it is negative because we are moving down)

run: 4

so now plug this into our slope equation: [tex]\frac{rise}{run}[/tex]

making our equation -[tex]\frac{3}{4}[/tex]

We can use the points (-2, -2) and (2, -5) to solve.

Formula: y2-y1/x2-x1

= -5-(-2)/2-(-2)

= -3/4

Best of Luck!

At a pet show, There are dogs, cats and rabbits. There are 480 contestants altogether. 1/2 of the contestants are cats, 1/6 of the contestants are rabbits. How many dogs are there? What fraction of the contestants are dogs?

Answers

The fraction of the contestants are dogs which are 17/48.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that there are dogs, cats, and rabbits.

480 contestants altogether. 1/2 of the contestants are cats, and 1/6 of the contestants are rabbits.

Total = 480

Cats = 1/2 x 480 = 240

Rabbit = 1/6 x 480 = 70

Then; the Number of dogs are

480 - 70 - 240

= 170

Therefore, a fraction of the contestants are dogs which is

170/480 = 17/48

Hence, the fraction of the contestants are dogs which are 17/48.

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what is -12=2+5v+2v

Answers

2+5y+2y=-12

2+7v=-12

2+7y-2=-12-2

7y=-14

7y/7=-14/7

y=-2

the answer to your question is

v= -2

Please simplify the following distributive property expression:

11(9+4v)

Answers

[tex]11(9+4v)\qquad|\text{use distributive property}\\\\(11)(9)+(11)(4v)=99+44v[/tex]

This is hard for me :(

Answers

Remark

A

You can do the same thing with a program called Desmos. Using this program, I've put A and B (the graphs) in Desmos and attached it to this Answer.

You could just do the same with your graphing calculator if you have one.

The problem is that my graphing calculator won't draw the blue line which is x = - 2

So go to Desmos and put in 2 graphs. the first one is y = - 1/2 x + 3 in red

The second is x =- 2. These are entered on the left of Desmos.

The blue line is x = - 2. You notice that the intersect point is (-2,4). Run your finger straight across until you hit 4. That's all you have to do for the A part.

B

The question has 3 blanks. The first 2 come from the question directions to see if you read those directions. Always a good idea to do that.

first blank  is x = - 2

second blank is x = - 2

Third blank is - 7

The red line is y = 3/2 x - 4

The blue line is x = -2

Find three consecutive integers whose sum is 35.

Answers

5, 10, and 20. (This is your answer.)

5 + 10 + 20 = 35.

These numbers are also consecutive, meaning each comes after the other on a number-line.

Hope this helps!

order the following numbers from least to greatest.


4.6 ⋅ 10^9, 7.3 ⋅ 10^9 , 3.9 ⋅ 10^15 , 2.1 ⋅ 10^18

Answers

The order you put is already correct.

Answer:

correct

Step-by-step explanation:

Estimate the product by rounding 5 x 5,503

Answers

2500 i think. hope this helps.

27515 Would be the answer now I want YOU to try to estimate it.


HELP ME 6xy^-2 / x^-3 = 6x ___ / y^2

Answers

Answer: k=x^3


Step-by-step explanation: When I solved this, I got that the blank (which I assigned to variable k to) is equal to x^3 (this means that the answer of the blank depends on the value you give x).


What’s |z-15|+5c+j z=10 c=-2 j=-4

Answers

Answer:

-9

Step-by-step explanation:

10-15 = -5 I-5I= 5

5*-2= -10

5+-10+-4 = -9

HELP ME HAVING TROUBLE!!!

Answers

It's A because 6^4=6×6×6×6
A power is the number of time that something is multiplied.

If the opposite of g(x) is –g(x), then –g(x) = ?

Answers

Answer:

if you are looking for g(x)=x-6 the opp is....... -g(x)=-x+6

Step-by-step explanation:


Answer:  -g(x)=-x+6

Step-by-step explanation:

What is the probability of rolling at least one 5 or 6 when rolling the dice two times?

Answers

The total outcome of rolling the dice twice is:
6×6
=36

And there are in total 20 outcomes of rolling at least one 5 or 6.

The probability will then be:

20/36
=20÷4/36÷4
=5/9

Therefore the answer is 5/9.

Hope it helps!

The difference of 10 and a number is negative eight

Answers

10 - x = -8

x = 10 + 8

x = 18

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

10 - 18 = -8

In one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins . In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes? Explain your reasoning

Answers

Ratio of peanuts to raisins in the first version of a trail mix = 3:2.

Ratio of peanuts to raisins in the second version of a trail mix = 4.5:3.

Divide the ratio by 1.5.

Ratio for second mix = 3:2.

Hence, the ratios are equivalent for the two mixtures.

The ratios are equivalent

The ratios are equivalent because when they are simplified, they both are 1.5 : 1

Ratio shows the relationship that exists between values. It shows the proportion of one value in another value.

Ratio of peanuts to raisins in the first version = 3 : 2

To simplify, divide both numbers by 2

1.5 : 1

Ratio of peanuts to raisins in the second version = 4.5 : 3

To simplify, divide both numbers by 3

1.5 : 1

The ratios of the first and second trail mix are equivalent.

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Which lines, if any, must be parallel based on the given diagram?

Answers

I cant really see the letters but the ones that are going straight up. I believe this is the answer because as you can see it's going up without intersecting between each other.

m and n are parallel and p and q are parallel from one another (parallel is when they are side by side and can never intertwine) i think the answer is C

Drag each figure or fraction to show the decimal it represents.


Answers

The decimal equivalent of the fractions and models are ;

0.40.40.750.40.750.9

Evaluating the fractions given ;

A.)

2/5 = 0.4

b.)

The number of portions in the circle = 10

Number of shaded portions = 4

Expressing as a fraction;

4/10 = 0.4

c.)

The number of portions in the rectangle = 4

number of shaded portions = 3

Expressing as a fraction;

3/4 = 0.75

d.)

The number of portions in the square grid = 100

number of shaded portions = 40

Expressing as a fraction;

40/100 = 0.4

e.)

75/100 = 0.75

f.)

90/100 = 0.9

liquid A has a density of 1.4 g/mL , liquid B has a density of 5.9 g/mL and liquid c has a density of 3.2 g/ mL. arrange the three liquids ina density column ( explain your answer)

Answers

Liquid B

Liquid C

Liquid A

Because the denser layers sink and the less dense layers float to the top, just like oil and water, the water is more dense than the oil, that is why the oil floats to the top and the water remains at the bottom:))

Final answer:

At the bottom of the density column there is liquid B with a density of 5.9 g/ml, in the middle liquid C with a density of 3.2 g/ml and in the middle liquid A with a density of 1.4 g/ml be at the top.

Explanation:

To arrange liquids A, B, and C in a density column, you must consider their respective densities, since the highest density liquid stays at the bottom and the lowest density liquid floats at the top. Liquid B has the highest density (5.9 g/ml), then liquid C with a density of 3.2 g/ml, then liquid A with the lowest density, 1.4 g/ml. Therefore, when arranging these liquids in a density column, place liquid B at the bottom, liquid C in the middle, and liquid A at the top.

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