What is the equation of the linear model in point-slope form that includes the point (-3, 1) and has a slope of 3?
Please show work for brainliest

Answers

Answer 1

Answer:

A) You would use the two points that are closest to the graphed line

(2,7) and (8,13)

B) Slope = change in Y over the change in X:

Slope = (13-7) / (8-2) = 6/6 = 1

Slope = 1

c) Point slope is written as y -y1 = m(x-x1) where m is the slope y1 is the first Y value and x1 is the first x value.

Equation is: y-7 = x-2

d) To rewrite y -7 = x-2 in slope intercept form, you need to isolate y.

To isolate Y add 7 to both sides:

y = x +5

Step-by-step explanation:

Answer 2

The equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

Here, it is given that line passes though point (-3,1) and having slope of 3.

Now, Let us find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-1) = 3(x-(-3))

y -1 = 3x + 9

y = 3x + 9 + 1

y = 3x + 10

Therefore, the equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.

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Related Questions

HELP ME PLEASE What is 6,728 ÷16

Answers

Answer:

420.5 or 420 1/2

Step-by-step explanation:

Find the values of x and y. The diagram is not to scale.
1 point
50
(x-2
(y-1)
66
X=65, y=68
X=68, y=65
X=50, y=68
X=66, y=70

Answers

X-2 and 66 are corresponding angles
Therefore x-2=66
X=68
And only one option has x=68
The second option is the correct answer

Please help me with this question

Answers

Answer:

(0, -2)

Step-by-step explanation:

Function Intercepts "y" in this point

I hope this help you

(0,-2) because that’s the only time the function crosses the y-axis

Which numbers are perfect squares: 64, 15, 26, 100

Answers

Answer:

15

Step-by-step explanation:

Answer:

64 and 100 are perfect square roots

Step-by-step explanation:

1.21 divided by 1.1
2960 divided by 0.37
132.03 divided by 8.1
USE A STEP BY STEP EXPLINATION

USING ALL POINTS

Answers

Answer:

1.21 divided by 1.1=1.1

2960 divided by 0.37=8000

132.03 divided by 8.1=16.3

Step-by-step explanation:

What is the result when the number 40 is decreased by 50%

Answers

Answer:

20

Step-by-step explanation:

40 x 50% = 20

So 50% of 40 equals to 20. Now, since it says decreased by 50%, we have to subtract 20 from 40 because we already know that 20 is the 50%. So 40 - 20 gives you 20.

Answer number 8 thank you(;´༎ຶٹ༎ຶ`)

Answers

Rosemarie has 16 grandchildren and they will each get 0.50 cents

Answer:

a. Rosemarie has 16 grandchildren.

b. Each grandchild would receive $0.50 or 50 cents.

Step-by-step explanation:

a. There are 4 sons, and each son has 4 children.

Son 1: 4 children

Son 2: 4 children

Son 3: 4 children

Son 4: 4 children

So you can find the total number of grandchildren by adding up the amount of children each of the sons have: 4 + 4 + 4 + 4 = 16

Rosemarie has 16 grandchildren.

b. If the are $8 total, and it is split equally between Rosemarie's sons, it means each son would get $2 (because $8 / 4 sons = 2).

And then each son would split it between his 4 kids. So $2 / 4 kids = $0.50

Each grandchild would receive $0.50 or 50 cents.

Jarrett counted the number of times people sharpened their pencils in class for a week. He counted 13,8,8,11 and 7. Determine the mean rounded to the nearest tenth, mean,mode and range of the numbers.

Answers

Answer:

25

Step-by-step explanation:

solve this equation
-10+2x=-40

Answers

Answer: X= -15

Step-by-step explanation:

Add 10 from the left side to the right side to arrive at -30. Divide -30 by 2 to solve for X.

Wich relation is a function of x

Answers

Answer:

the first one

Step-by-step explanation:

In the other 2 i can see the x repeats itself meaning it isn't a function.

Zachary purchased a new car for $29,995. The value of the car linearly depreciated to $9,300 over 10 years. Write a linear equation to represent the value y of Zachary's car (in dollars) after x years since its purchase.

Answers

Answer:

Step-by-step explanation:

y=-1,869.5x+27,995

Step-by-step explanation:

Let

x-----> the time in years

y----> value of Zachary’s car in dollars

A(0,27,995), B(10,9,300)

step 1

Calculate the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{9,300-27,995}{10-0}=-1,869.50

step 2

Find the equation of the line

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-1,869.50

b=27,995  -----> the y-intercept is the point A

substitute

y=-1,869.5x+27,995

hope this helps have a good day

slope intercept form of (4,7) and (-2,-17)

Answers

Answer:

y=24x/13+317/13

Step-by-step explanation:

Can you please help the pic is below

Answers

Answer:

4.6x3=13.8

0.46x3=1.38

Step-by-step explanation:

The test scores for the Chapter 5 test in Algebra I were:75,95,90,95,60,95,75,95,90Question:a. Find the mean, median, mode, and range of the data.b. Which measure best describes the set of data? Why?c. If test scores of 65 and 75 were added to the set, what would happen to the mean?

Answers

Answer:

mean : 85.6

mode : 95

median : 90

range : 35

Step-by-step explanation:

B The mean

The reason why is because it shows the average test score of all the students .

C The mean would decrease because there is more numbers to divide by after adding all of them together .

Activity 1: rewrite me!

1. write the equation 2x+3y=12into y=mx+b
Solution
2x+3y=12
2x + (____) + 3y = 12+(-2x)
(____)3y=(-2x+12)(____)

y= - ⅔x +4

Given:


Simplified as y= mx+ b

2.write the linear equation y= -2x -1 into Ax + By = C.

solution
y = -2x-1
y +(____) = - 2x + (___) - 1

2x + y = -1

Given:



Questions:
1. how did you write the linear equation y = mx + b to the form Ax + By = C?

2. how did you write Ax + By = C?

3. what mathematical concepts or principles did you apply to write each linear equation to standard form?
to y=mx+b form?

brainlest pag Tama ang sagot plus eh fo-follow ko na din.
nonesen report​

Answers

1) The equation 2y + 3x = 12 in the y = mx + b form is [tex]y = -\frac{2}{3} x + 4[/tex]

2) The linear equation y = -2x - 1 in the Ax + By = C form is 2x  +  y  =  -1

The point-slope form of the equation of a line is y = mx + b

where m represents the slope

b represents the y-intercept

The given equation is:

2x  +  3y  =  12    (Given)

Subtract 2x from both sides

2x  +  (-2x)  +  3y   =  12  +  (-2x)

3y   =  12 - 2x  (Equality property of addition)

3y   =  -2x  +  12 (Commutative property of addition)

Divide both sides by 3

[tex]\frac{3y}{3} = -\frac{2}{3} x + \frac{12}{3} \\\\y = -\frac{2}{3} x + 4[/tex](Equality property of division)

2) Write the linear y = -2x - 1 into Ax + By = C

y   =   -2x  -  1  (Given)

Add 2x to both sides

y  +  2x  =  -2x  + 2x - 1 (Equality property of addition)

y   +  2x   =  -1

2x   +   y   =   -1   (Commutative property of addition)

Learn more here: https://brainly.com/question/19573990

3x+y-2x^2=11
finding out if this equation is linear or not.

Answers

Answer: It is not linear because the graph doesn't form a straight line.

Step-by-step explanation:

The ratio of girls to boys in a swimming club was 1:4. There were 10 girls. How many
boys were there in the club?

Answers

Answer:

40 boys

Step-by-step explanation:

The 1 part of the ratio refers to 10 girls and represents 1 part , then

4 parts = 4 × 10 = 40

There are 40 boys in the club

the answer above is correct

Pls help I will give 20 points if anwser is correct

-8 3/4 divide 2 1/6

Answers

Answer: Improper form: -106/26 Mixed fraction form: -4 1/26

Decimal form: -4.03846153...

Step-by-step explanation: Simplify the expression, if possible, by cancelling the common factors.

what is the length of the x component of the vector shown below

Answers

Answer:

D

Step-by-step explanation:

x=8*cos(34°)=6.632≈6.6

the quantities x and y in the ratio x/y are called

Answers

Answer:

"Unit rate" is the answer po

They’re called the unit rate.

PLS HELPPPPP Which expression is equivalent to 4−a−a−a?

Answers

Answer:  " 4 − 3a " .

________

Step-by-step explanation:

" 4 − a − a − a " ;

        = 4 − 1a − 1a − 1a " ;

        =  ?  " ;

________

Combine the "like terms" :

________

         →   " − 1a − 1a − 1a " ;

               = ( 1a − 1a) − 1a ;

               = ( 2a) 1a ;

               =   3a ;

________

Now, bring down the "4" ;

  and rewrite the expression:

________

        →  " 4 − 3a " ;

which cannot be simplified further.

________

The answer is:  " 4 − 3a " .

________

Hope this is helpful!

 Best wishes to you!

________

Need help ASAP! Directions in picture;)

Answers

Answer:

it is 8

Step-by-step explanation:

someone please help


Find the factored form of the expression. Check your answer.

2x^2 + 2 = 0

(looking for an answer

with )

Answers

Answer: 2(x^2 + 1)

Step-by-step explanation: its either that or no solution for this question

Five tenths of a circle equals what decimal part of a circle?​

Answers

Answer:

0.5

Step-by-step explanation:

5/10 of a circle is half of the circle.

Half is 0.5.

Find the value of x.

Answers

Answer:

x = 13

Step-by-step explanation:

Sum or interior angles of a triangle is 180,

6x + 19 + 5x - 15 + 3x - 6 = 180

6x + 5x + 3x + 19 - 15 - 6 = 180

14x + 19 - 21 = 180

14x - 2 = 180

14x = 180 + 2

14x = 182

x = 182 / 14

x = 13

The difference of the number g and 8 is at least twice the sum of a number y and 4.

Answers

Answer:

g - 8 <= 2(y+4)

Step-by-step explanation:

A proportional relationship goes through the point (4, 10). Explain how to write a function in the form y = mx for this relationship.

Answers

Answer:

m = 5 / 2

Step-by-step explanation:

Given

(4, 10)

Here,

x=4 and y=10

Given equation,

y=mx _ equation 1

putting the value of x and y in equation 1. we get,

y = mx

or, 10 = m4

or, 10 / 4 = m

or, 5 / 2 = m

therefore, m = 5 / 2

Carla packs boxes at a rate of 10 boxes every 4 minutes. What is the number of boxes per minute that Carla packs?
show simple work for brainlist

Answers

Answer:

2.5 boxes per minute

Step-by-step explanation:

First divide 10 by 4 to get the unit rate 2.5/1.

Second add labels, and figure out conclusion.

2.5 boxes/ 1 minute

Carla packs 2.5 boxes per minute.

Chealsea has 7/8 pound of butter to make icing. Each batch if icing needs 1/4 pound of butter. Write and solve an equation that models the situation. Then interpret the quotient

Answers

Answer:

Chelsea can make 3 [tex]\frac{1}{2}[/tex] batches of icing with 7/8 pounds of butter.

Step-by-step explanation:

7/8 ÷ 1/4  (reciprocate 1/4 to replace division sign with multiplication sign)

= 7/8 x 4/1

= 28/8

= 7/2

= 3 [tex]\frac{1}{2}[/tex]

This means that Chelsea can make 3 [tex]\frac{1}{2}[/tex] batches of icing with 7/8 pounds of butter.

I hope this helps :)

Suppose the water level of a river is 34 feet. It recedes 1/2 foot a day. What is the equation you could use to calculate the water for a specific day?

Answers

[tex]Answer : 34-\dfrac{1}{2} n \ \ ; \ \ \rm where \ n \ is \ the \ number\ of \ days[/tex]

Answer:

f(x) = -1/2x + 34

Step-by-step explanation:

This is a linear relationship.

Using the slope intercept form:

y = mx + b

Given:

The y-intercept is b = 34The slope is m = -1/2

The equation is:

f(x) = -1/2x + 34, where x is the number of days
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