Write an equation in the form y=mx for the proportional relationship that passes through the points​ (2, -15) and​ (6, -45).

Answers

Answer 1

Answer:

Y=-15/2x

Step-by-step explanation:

Answer 2

The equation of line in the form y=mx is y=-15/2x

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given coordinates:

(2, -15) and​ (6, -45).

Now, slope for the equation

slope= [tex](y_2 - y_1)/ (x_2- x_1)[/tex]

slope= (-45 - (-15))/ (6 - 2)

slope= (-45 + 15)/ 4

slope= -30/4

slope= -15/2

Hence, the equation of line in the form y=mx is y=-15/2x

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Related Questions

how to solve this problem by finding x​

Answers

Answer:

X=140

Step-by-step explanation:

Firstly, any Quadrilateral has a total sum of its angle equal to 360 degrees

The attachment you are showing us shows that we already know two angles

(70)&(60) degrees. I am assuming the line DC is a tangent, so angle ADC must be 90 degrees since a full angle on a tangent is equal to 180 degrees and there is 90 from the other side (180-90=90). Now we know 3 angles and what you have to do is find X so that when you add them all up they make a sum of 360.

X+70+60+90=360

X=360-70-60-90

X=140

ticket for a pantomime cost $80 for children. A party of 25 pays $143 in total. how many adults were there in the party?
can anyone answer this?
can anyone answer this

Why did the donkey get a passport ?

Answers

Answer:

So he could become a travel burro.

Step-by-step explanation:

The solution to some of the algebraic expressions in the excerpt titled "Why did the donkey get a passport?" is 8x² - 3x + 17 and 2x² + 9x + 3

Why did the donkey get a passport is a title for a series of algebraic expressions that need to be solved.

What is an algebraic expression?

An algebraic expression is a mathematical expression that comprises integers, variables, and arithmetic operations.

In the title "Why did the donkey get a passport?", we have some of the following questions:

8x² + 2x - 5x + 17 4 - 3x² - 9x - 7 + x²

Simplifying the algebraic expressions, we have:

1.

8x² + 2x - 5x + 17

8x² - 3x + 17

2.

4 - 3x² - 9x - 7 + x²

By rearrangement

x² - 3x² - 9x -7 + 4

-2x² - 9x - 3

Multiply through by (-)

2x² + 9x + 3

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1.
Is the following statement a good definition? Why?
An integer is divisible by 100 if and only if its last two digits are zeros.

Answers

Answer:

It is, because it is clear and true. It also gets straight to the point.

Step-by-step explanation:

Identify the domain of the function shown in the graph

Answers

Answer:

a

Step-by-step explanation:

Which of the following inequalities matches the graph? (1 point)

graph of an inequality with a solid line through the points (1, 4) and (2, 9) with shading below the line

The correct inequality is not listed.
5x + y greater than or equal to 1
5x + y less than or equal to 1
5x − y greater than or equal to 1

Answers

Answer:

Answer is D 5x-y>= 1 :)

Step-by-step explanation:

Answer:

the guy above me is correct

Step-by-step explanation:

Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.

40

17

15

42

52

67

65

14

Answers

Answer:

The possible lengths of TR : TR = 17, 40, 42, 52,

Step-by-step explanation:

Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.

To find the possible lengths of the third side of a triangle:

c - a< b > a + c

a = WT = 25

c = WR= 40

b = TR = ??

40 - 25 < b < 40 + 25

15 < b < 65

The possible lengths of TR has to be greater than 15 and less than 65, Hence: TR = 17, 40, 42, 52,

Ari stocks shelves at a grocery store. He
puts 35 cans of juice in each display case.
The case has 4 shelves with an equal
number of cans, and one shelf with only
cans. How many cans are on each of the
Equal shelves?

Answers

35 divided by 4, is 8.75..i guess there are 8 cans on each equal shelf?

Which form of the quadratic equation would be the BEST to use when needing to identify the x-Intercept(s) of a parabola?
A) Vertex Form
B) Factored Form
C) Linear Form
D) Standard Form

Answers

The answer to this question is C

how online school? mines/ I don’t like it my grades are going down

Answers

Answer:

I hope it gets easier for you :)

Which axis is the vertical (up-down) one?​

Answers

the vertical axis is the y-axis and the horizontal axis is the x-axis

Answer:

y is the vertical, x is the horizontal

How many solutions does the equation
10-3x+10x-7=5x-5+2x+8 have?

Answers

it is all real numbers if that helps
Infinitely many solutions

. If y varies directly with x when y = -4 and x = 10, determine y when x = 2. Write and equation for the direct variation and determine the value.

Answers

Answer:

y = - 0.8

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when y = - 4, x = 10, then

- 4 = 10k ( divide both sides by 10 )

- 0.4 = k

y = - 0.4x ← equation of variation

When x = 2 , then

y = - 0.4 × 2 = - 0.8

8. A tire dealer sells Supreme tires for $48 each and Prestige tires for $56 each. During one week, the sales for both tires totaled $2008. If 11 Prestige tires were sold, write and solve a linear equation to find the number of Supreme tires sold.​

Answers

Answer:

31 Supreme tires were sold.

Step-by-step explanation:

Cost of one Supreme tire = $45

Cost of one Prestige tire = $56

Total sales = $2008

Let x represent quantity of supreme tyre

Let y represent quantity of Prestige tyre

So, the equation will be:

[tex]45x+56y=2008[/tex]

11 Prestige tires were sold, write and solve a linear equation to find the number of Supreme tires sold.

So, we are given y= 11 and we need to find value of x using above equation

[tex]45x+56y=2008\\45x+56(11)=2008\\45x+616=2008\\45x=2008-616\\45x=1392\\x=\frac{1392}{45}\\x=30.933\\ x\approx31[/tex]

So, 31 Supreme tires were sold.

Given that
x
= 7.7 m and
θ
= 52°, work out AC rounded to 3 SF.

Answers

Answer:

The answer is 12.5cm

Step-by-step explanation:

cos 52= 7.7/AC

AC= 7.7/ cos 52

AC= 12.5

hi how yall doiiinnn

Answers

Pretty good, How about you

Answer: heyyyyy I’m going good

What foal birth weight would you predict using the least squares equation for a mare that weighs 520 kg?

Answers

Answer:

520

Step-by-step explanation:

Which rational exponent represents a square root?
A. 1 / 2
B. 3/2
C. 1/3
D. 1/4

Answers

Answer:

1/2 rational exponent represents a square root.

Therefore, option A is correct.

Step-by-step explanation:

As we know that raising to the one-half power i.e. [tex]\frac{1}{2}[/tex] is the same

as taking the square root.

so [tex]x^{\frac{1}{2}}[/tex] is the same as the square root of [tex]x[/tex].

For example, taking the square root of 4 will determine:

[tex]4^{\frac{1}{2}}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:4=2^2[/tex]

[tex]4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]

[tex]\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}[/tex]

so the expression becomes

[tex]4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}[/tex]

    [tex]=2^1[/tex]

    [tex]=2[/tex]         ∵ [tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a[/tex]

so, 1/2 rational exponent represents a square root.

Therefore, option A is correct.

Answer: A.) 1/2 is the correct answer

Step-by-step explanation:

Which of the following statements is INCORRECT?

A. FE = 58
B. DE = 58
C. x = 8
D. DF = 40

Answers

Given:

In figure, ΔDEF has two equal angles ∠E and ∠F.

[tex]DE=40,EF=6x+10,DF=8x-24[/tex]

To find:

The incorrect statement from the given options.

Solution:

In triangle DEF,

[tex]\angle E=\angle F[/tex]            (Given)

[tex]DF=DE[/tex]            (Base angles are equal, so it is an isosceles triangle)

[tex]8x-24=40[/tex]

[tex]8x=40+24[/tex]

[tex]8x=64[/tex]

Divide both sides by 8.

[tex]x=8[/tex]

Now,

[tex]DE=DF=40[/tex]        (Isosceles triangle)

[tex]EF=6x+10[/tex]

[tex]EF=6(8)+10[/tex]

[tex]EF=48+10[/tex]

[tex]EF=58[/tex]

Therefore, x=8, FE=58, DE =40 and DF = 40.

Hence, the incorrect statement is in option B. So, option B is correct.

An isosceles triangle has two equal opposites sides

The correct statements are

A. FE = 58

A. FE = 58C. x = 8

A. FE = 58C. x = 8D. DF = 40

incorrect statement is

B. DE = 58

Given:

Side DE = 40

Side FE = 6x + 10

Side DF = 8x - 24

Recall,

DF = DE

8x - 24 = 40

8x = 40 + 24

8x = 64

x = 64 / 8

x = 8

Therefore,

Side FE = 6x + 10

= 6(8) + 10

= 48 + 10

= 58

Side DF = 8x - 24

= 8(8) - 24

= 64 - 24

= 40

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2
What is the slope of the line y = 3-2/3x

Answers

Answer:

the slope is -3

Step-by-step explanation:

Which is the correct way to check your answer for -20d=40?

A. -20/40=d
B. 40/-20=d

C. 40-20=d
D. -20d=40

Answers

Answer:

D

Step-by-step explanation:

After you get the answer then you should feel in the d with the number. Example:

-20D=40

Divide both sides by -20

D=-2

So know you should fill in d

-20(-2)=40

40=40

True

There are 20 students
12 are boys
what fraction are boys

Answers

Answer:

This will be 12/20

Step-by-step explanation:

You take the number of favourable outcomes (12, as there are 12 boys) and take the number of total outcomes (20, as there are 20 people in total). Then you do the number of favourable outcomes over the number of total outcomes. This equals 12/20. I hope this helps

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

The fraction for boys out of 20 students is 3/5.

What is a fraction?

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

Example: 2/3, 5/7, 1/3

We have,

Total number of students = 20

Number of boys = 12

The fraction of the boys is:

= Number of boys / Total number of students

= 12 / 20

We can write along with its common factors.

= 2 x 6 / 2 x 10

Common values are canceled out from the numerator and the denominator.

= 6 / 10

We can write it as along with its common factor.

= 2 x 3 / 2 x 5

Common factors are canceled out from the numerator and the denominator.

= 3/ 5

Thus the fraction for boys out of 20 students is 3/5.

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Help pls and thank you

Answers

Answer:

yes they are congruent because they have the same size and shape

Step-by-step explanation:

stop stealing peoples points bruh

What is the value of X when solving the equation -2x+(-8)=2x+8

Answers

Answer:  X=-4

Step-by-step explanation:

Find the total surface area of this cuboid

Answers

Answer:

the cuboid isint showing

Step-by-step explanation:

If there are 52 calories in one chicken nugget and 39 calories in one waffle fry, write an expression to represent the total number of calories consumed if you eat c chicken nuggets and w waffle fries. Next, find out total number of calories consumed if you ate 5 chicken nuggets and 10 waffle fries.

Answers

Equation: y = 52c + 39w
Plug in 5 for c and 10 for w
52(5) + 39(10) = 260 + 390 = 650 calories

Multiply calories per nugget by number of nuggets and add to calories per waffle multiplied by number of waffles:

Total calories = 52c + 39w

Now replace the variables with the quantities and find total calories:

Total = 52(5) + 39(10)

Total = 260 + 390

Total = 650 calories

Mike went to the store to buy shirts. The shirts were $45 each. The store was offering the following discount Mike decided to buy 3 shirts. Not including sales tax, how much money did Mike save by buying the shirts at the discounted price?

Answers

Answer:

54

Step-by-step explanation:

Mike saves $36 by buying the shirts at a discounted price.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

Given the offer,

By 1 at regular price ($45) and get 40% off on two shirt

40 % of 45 ⇒ 0.40 × 45 = $18

So shirt price = 45 - 18 = $27/each

Since 2 shirt buy at this price = 2 × 27 = $54

Money saved = 2×45 - 54 = $36

Hence "Mike saves $36 by buying the shirts at a discounted price".

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Given question is incomplete complete question is ;

Are these quanities dirctly proportional?
Distance and Time it takes to cover it, if a car moves with the same speed.
Plz Help Me
Answer Yes or No

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

When distance and time are both zero at once, and speed is constant, then distance and time are proportional:

  distance = speed × time

The constant of proportionality is the (constant) speed.

7th grade help me plzzzzz

Answers

Answer:

fifteen, "number sentence"

Step-by-step explanation:

5 + 5 +5 = 15

Jason use 65 books in 1 month .How many will he use in 7 days?​

Answers

Answer:

16.25 books

Step-by-step explanation:

assuming there are 4 weeks in a month, divide 65 by 4.

Answer:

16  or 16.25

Step-by-step explanation:

You might have to round idek if you meant read or used so

HELP PLEASE!!

“I think of a number, double it, and add twelve. My answer is 54.” What number am I thinking of?

Answers

Answer:

21

Step-by-step explanation:

21 + 21 = 42

42 + 12 = 54

so 21 is your answer

Answer:

21.

Step-by-step explanation:

For questions like this, it's easiest to work your way backwards from the answer to get the original number.

In this case, you subtract 12 from 54, which gives you 42 (54-12=41)

Then, you divide by 2, the opposite of "doubling". 42 ÷ 2 = 21.

Since there are no other operations, your original number is 21.

To confirm, just go through the problem again starting with 21 and seeing if you get to 54.

21, doubled (42), add 12 = 54.

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