Find an equation of the line that passes through the points (-2, 1) and (3, 3). Write your equation in either point-slope form, standard form, or slope-intercept form.

Answers

Answer 1
(-2,1)(3,3)

m=3-1/3+2=2/5

Equation of line in point slope. form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]

[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]

[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]

Answer 2

The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

What is the slope of the line?

The slope of a line is defined as the angle of the line.

Given that line passes through the points (-2, 1) and (3, 3)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]

⇒ y - 1 = (2)/(5)[x+2]

⇒ y - 1 = 2/5(x -3)

⇒ y = (2/5)x - 6/5 + 1

⇒ y = (2/5)x - 1/5

Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

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Related Questions

Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)

Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

Answer: 250=70x+50 For A

Step-by-step explanation:

Answer:

Part A 70x+50=250

Part B(75x + 35) = 250 - 5x

Step-by-step explanation:

Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?​

Answers

Step-by-step explanation:

kruitika- 42

Gordorn-31

so krutila was 11 when they gave birth to Gordon

she was 23 when they gave birth to pip

The youngest of them is pip so pip is =19

At GameStop, there is a 30% off discount sale for a PS 5 originally priced at $600. After the sale, the discounted price of the PS5 was increased by 30%. What is the final price of the PS5 after the increase?

Answers

Answer:600-30 precent is $420 so is you increase it by 30 precent it would be

420 + (30% × 420) =

420 + 30% × 420 =

(1 + 30%) × 420 =

(100% + 30%) × 420 =

130% × 420 =

130 ÷ 100 × 420 =

130 × 420 ÷ 100 =

54,600 ÷ 100 =

546

Step-by-step explanation:

so 546 if wrong i am sorry

(☞╹◡╹)☞ Enjoy ☜(╹◡╹☜)

Answers

Step-by-step explanation:

hey.....

how are uh

Kristen owns 61 shares of Prince Waste Collection and 45 shares of Nar Heating/Cooling. Nar Heating/Cooling is worth $7. 88 per share and Prince Waste Collection is worth $16. 59 per share. If Kristen sells all of her stocks, how much money will she receive? a. $657. 39 b. $1,366. 59 c. $1,227. 23 d. $1,296. 91.

Answers

Answer:

the answer to your question is B.) $1,366.59

HELP!!! I WILL GIVE BRAINLIEST!!!!

1.Find f(4) if f(x) = (1/2)x + 13

2.Find f(5) if f(x) = (3/5)x - 10

3.Find f(-1) if f(x) = x2 + 7

4.Find f(2) if f(x) = 3x3 -12x2

Answers

Answer:

15, - 7, 8, - 24

Step-by-step explanation:

1

f(4) = [tex]\frac{1}{2}[/tex] × 4 + 13 = 2 + 13 = 15

2

f(5) = [tex]\frac{3}{5}[/tex] × 5 - 10 = 3 - 10 = - 7

3

f(- 1) = (- 1)² + 7 = 1 + 7 = 8

4

f(2) = 3(2)³ - 12(2)² = 3(8) - 12(4) = 24 - 48 = - 24

horizontal translation 5 unitss left

Answers

Answer:

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Step-by-step explanation:

First, let us look at the parent function f(x) = |x|. The graph of this function looks like the following.

Notice that it is symmetric about the y-axis and looks like a v. Now, that we have the parent function and its graph. Let's look at thow the four transformations happen.

Part I: Horizontal and Vertical Translations

First, we must have a definition of the two types of translations. A vertical translation moves the graph up or down. An example of that would be:

 

Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. These are the two types of vertical translations.

The other type of translation is a horizontal translation. A horizontal translation moves the graph left or right. An example of this would be:

Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.

Now that we have seen some examples of the these, let's see if we can figure out why these translations happen.

Here is an equation of one of the vertical translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through vertical translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Vertical Translations:

if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value.

Here is an equation of one of the horizontal translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through horizontal translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Hope this helps, have a nice day/night! :D

If it helped, please mark as brainliest!

PLEASE HELP.
WILL GIVE BRAINLIEST!!
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED !!!

Answers

Answer:

b; |-4|<|-5|

Step-by-step explanation:

Absolute value is the distance from zero, so the absolute value of -5 is greater than the the absolute value of -4.

Julio says, “if you subtract 12 from my number and multiply the difference by -5, the result is -90” what is Julio’s number

Answers

work backwards and do the opposite sign!
-90 / -5 = 18
18 + 12 = 30
We can then plug in 30 to the original to check the work
30 - 12 = 18
18 * -5 = -90

The ratio of boys to girls in a class is 3:5. There are 40 students in class.How many students are boys?

Answers

Answer:

1. 40/8 = 5

2. 3x5 : 5x5

3. 15:25

There are 15 boys to 25 girls in the class

Step-by-step explanation:

4.875 = d - 2.125

what do I do here?​

Answers

Answer:

d=7

Step-by-step explanation:

7-2.125= 4.875

7 is your answer as it balances both sides of the equation.

i got seven by adding 2.125. to 4.875

Answer:

Step-by-step explanation:

1. add 2.125 to both sides of your equation

4.875 = d - 2.125

+2.125        +2.125

7 = d

The d is now isolated which allows us to see the answer is 7 for d

i need help please no bots

Answers

Answer:

>

Step-by-step explanation:

Squares eventually get bigger then when you multiply

Is the equations true.false.or open? x+3=5

Answers

Answer:

true

Step-by-step explanation:

i just plugged in 2 for x. 40% chance im right lol

Answer:

true

Step-by-step explanation:

Which fraction is equivalent to 9/12

Answers

Answer:   Choice B)  15/20

=========================================================

Explanation:

Let's check to see if 9/12 is the same as 16/24.

Set them equal to one another, and then use cross multiplication like so

9/12 = 16/24

9*24 = 12*16

216 = 192

Both sides aren't the same value after simplifying everything. The third equation being false leads to the first equation being false as well.

Therefore, 9/12 is not the same as 16/24. We can rule out choice A.

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

Let's check choice B

9/12 = 15/20

9*20 = 12*15

180 = 180

We have a match, so 9/12 is the same as 15/20

Notice how:

9/12 = 0.7515/20 = 0.75

Both fractions lead to the same exact terminating decimal, which is more evidence that the two fractions are equivalent.

Choice B is the final answer.

find three rational numbers between -1/2 and 1/2​

Answers

Answer:

-1/4, 1/8 and 1/5.

Step-by-step explanation:

in the function f(x)=6x^2-4, what is the value of f(-2)?

Answers

In order to find the value of f(-2), you can plug -2 wherever x is.

f(x) = 6x^2 - 4

f(-2) = 6(-2)^2 - 4

f(-2) = 6(4) - 4

f(-2) = 24 - 4

f(-2) = 20

Thus, the value of f(-2) is 20. Hope this helps! If you have any other questions related to this, let me know.

You counted 28 big dogs and 20 small dogs running around at the park.
What was the small dogs to big dogs ratio ?

Answers

Answer:

5:7

Step-by-step explanation:

A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data? median mode mean standard deviation.

Answers

Answer:

standard deviation on edge

Step-by-step explanation:

The statistic should he use to compare the spread of the two sets of data is the standard deviation.

What is a standard deviation?

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

The standard deviation is the statistic that should be used to compare the spread of two sets of data.

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

A larger standard deviation indicates that the data points are more spread out, while a smaller standard deviation indicates that the data points are more tightly clustered around the mean.

By comparing the standard deviations of the two sample sets of snowfall data, the scientist can determine which set has a larger or smaller spread of data.

Thus,

The statistic should he use to compare the spread of the two sets of data is the standard deviation.

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a doubles tennis court measures (7x+8) ft in length and (3x+6) ft in width. which expression represents the area of the court

Answers

If the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Recall:

Area of a rectangle = length x width

Given the algebraic expressions for the dimension of the rectangular court as:

length = (7x + 8) ft

width = (3x + 6) ft

Therefore,

Area = [tex](7x + 8) \times (3x + 6)[/tex]

Apply the distributive property

[tex]Area =7x(3x + 6) +8(3x + 6)\\\\Area = 21x^2 + 42x + 24x + 48\\\\[/tex]

Add like terms

[tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Therefore, if the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Learn more here:

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Write the slope-intercept form of the equation

Answers

Answer:

y= [tex]\frac{1}{3}[/tex]x-1

Step-by-step explanation:

Slope intercept form= y=mx+b

m=slope

b=y-intercept

b=-1

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

y= [tex]\frac{1}{3}[/tex]x-1

graph :

x > - 3 and y < 1

Answers

Answer:

Step-by-step explanation:

i dont know  if this helped u but if it did let me know

Nine more than a number, divided by -4, is a
maximum of -2." I also need step by step explanation please if u can

Answers

Step-by-step explanation:

Let's use the number represented x

x + 9 because 9 more than the x

(x+9)/-4 because it is divided by -4

(x+9)/-4 <= -2 (maximum of -2 means smaller than -2, but it also did not tell not to use -2)

if Andrew can paint 1 house in 4 days can he paint 9 houses in 27 days

Answers

Step-by-step explanation:

since this is a linear work and function, no, he cannot.

1 house in 4 days.

9 houses then in 9×4 = 36 days.

-2(x-2) - 4x = 3 (x + 1) - 9x

Answers

Answer:

No solution :(

Step-by-step explanation:

-2(x-2)-4x=3(x+1)-9x  love these problems.

-2x+4-4x=3x+3-9x<-- I first multiplied the number outside of the parentheses to the numbers inside. Keep in mind that when a negative time a negative, it equals a positive, in the case of -2*-2.

-6x+4=-6x+3<-- I then combined like terms.

Right away I see that -6 and -6 would cancel out if i just added it to the other side. Thus this equation has no solution.. sorry.

31 points answer fast

Answers

The second one
Its : 2 over x + 2

which reason would be used to justify the last step in the proof below​

Answers

Answer:

1.

Step-by-step explanation:

Help plzdlkkdkkdkdnnzkzkzkskskeme

Answers

Answer:

ofc 8 there are 8 post card ♦️

Answer:

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222

Step-by-step explanation:

22222222222222222222222222222222222222

The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.

Answers

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The slope m is a measure of the rate of change

Calculate m using the slope formula

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

with |(x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-(-1)}{3-0}[/tex] = [tex]\frac{4+1}{3}[/tex] = [tex]\frac{5}{3}[/tex] ← rate of change

Answer:

slope(m) = 7/4

Step-by-step explanation:

You can use Rise over run in order to find out the answer. I just used points (0,-1) and (4,6) and the rise was positive 7 while the run is 4 so the rate of change or the slope is 7/4.

You could also use the long way to figure the slope of the line. You could use (y2 - y1) / (x2, x1) to get the same slope

Simplify the expression.
x - 9 - 5x+7 - 2y ​

Answers

Answer:

add the like terms then look for a gcf to take out atleast for this one

so -9+7= -2

-5x + 1x = -4x

and -2y

we can take -2 out of all those

so our answer is -2(2x+y+1

Use parallelogram ABCD. What are the values of x and

y?

A

4y-3

B

x=

y =

3x-9

42

D

37

С

Answers

Answer:

the value of x is a number but you can say 1 when you are factorising quadratic expression with the terms

Answer:

x=17

y=10

Step-by-step explanation:

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