what linear equation in slope intercept from does this graph represent?​

What Linear Equation In Slope Intercept From Does This Graph Represent?

Answers

Answer 1

Answer:

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]

Step-by-step explanation:

The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.

We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].

Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).

Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.

Let's substitute in our points.

[tex]\frac{150-100}{3-0}[/tex]

Simplify.

[tex]\frac{50}{3}[/tex]

Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].

We'll put that in our equation for a line and...bam!

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]


Related Questions

find the value of
tan 45º . tan- 30° tan 60°​

Answers

Answer:

Find the exact value of tan 45º = 1/1 = 1.

Find the exact value of cos 30º = √3/2.

Find the exact value of csc 60º = 2√(3)/3

Step-by-step explanation:

math

How many 1/ 3 pound hamburger patties can be made from 4 pounds of ground beef?

Answers

Answer:4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Each pound is equal to 3 of the 1/3 pound patties

multiply 3 by 4 and you get 12.

a circle has a diameter of 7.6 feet

Answers

The actual calculation for the circumference is 23.864 ft, so whichever answer is closest to that should be correct

find the measure of the angle indicated with a?, and enter the number only​

Answers

9514 1404 393

Answer:

  45°

Step-by-step explanation:

Arc YZ is the difference between the given arcs and 360°:

  126° +144° +YZ = 360°

  YZ = 360° -270° = 90°

The inscribed angle (?) is half the measure of the arc it intercepts:

  ? = 90°/2

  ? = 45°

given H(x)=4(x+3), which of the following is the value of H(-2)?

Answers

Answer:

H(-2)=4

Step-by-step explanation:

H(x)=4(x+3)

Let x =-2

H(-2)=4(-2+3)

      =4(1)

     = 4

50 POINTS!!!There were 50 questions on Vince's math test. He answered 45 questions correctly. What percent of the questions did Vince answer correctly?

Answers

Answer:

90%

Step-by-step explanation:

50 x 2 is 100

40 x 2 is 80

5 x 2 is 10

80 +10 = 90

IT 40 POINTS SO PLZ HELP ITS 5 QUESTIONS PL ANSWER THEM ALL

How can a number line help in ordering rational numbers:




How are number lines and the coordinate plane related:



Does the order of the numbers in an ordered pair matter when naming a point? Can that point be represented by more than one ordered pair?



A point is reflected across the x-axis. The new point is located at (4.75, -2.25). Write the ordered pair that represents the original point. Explain.



A point is reflected across the x-axis. The new point is (5, -3.5). What is the distance between the two points? Explain.

Answers

Answer:

1: It places them in an order sequentially relative to each other.

2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.

3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.

4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.

5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.

Step-by-step explanation:

Wich statement best explains the relationship between the numbers divisible by 6, 2, and 3? what's the answer?

Answers

Answer:

oh! I once had this, the answer is a number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.

Rita earns 44dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Kala earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Rita earns if she sells 35books.
Equation:
Amount Rita earns if she sells 35books: dollars

Answers

Answer 1: 44 + B = A
44 + (35) = A
Answer 2: 44 + 35 = $79

Debra tutors history. For each hour that she tutors, she earns 50 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.

Write an equation relating E to H . Then use this equation to find Debra's earnings after tutoring for 19 hours.

Answers

E x 19 = h I’m pretty sure

2. Which equation is true when x=3?
A. 8x = 28
B. X - 19 = 16
C. 28 + x = 25
D. S =1

Answers

the correct answer is c

Answer:c

Step-by-step explanation:

- 5/6e (the fraction) - 2/3e (the fraction)=-24

Answers

Answer:

I believe this is the correct answer. e = 16

Solve the inequality:

Please select the best answer from photo of choices provided.​

Answers

Answer:

b. h>-4

Step-by-step explanation:

Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.

[tex]\frac{3}{2}h+12\geq 6[/tex]

To solve first subtract 12 from both sides

(3/2)h>-6

Then, multiply both sides by (2/3)

h>-4

This table shows a proportional relationship. х y Complete the equation that represents the table. - 4 - 6 Enter your answer as a decimal in the box. -2 3 0 0 y = Х 8. 12​

Answers

Answer:

y = 1.5x

Step-by-step explanation:

An equation that represents a proportional relationship can be written as y = kx.

Where,

k = constant of proportionality or unit rate = y/x

Using a pair form the table of values, say (-2, -3),

k = y/x = -3/-2 = ³/2 = 1.5

Substitute k = 1.5 into y = mx

The equation that represents the table would be:

y = 1.5x

The proportionality constant is 2/3 and the required equation is y = 2/3x

Tables and values

The standard equation of a line is expressed as y = mx + b

where:

m is the slope of the line

b is the intercept

From the given question, we are to find the rate of change (slope) from the give  table.

USing the coordinate points from the table (-2, 0) and (-3, 0)

Also recall that;

y = kx

-2 = k(-3)

k = 2/3

Hence the proportionality constant is 2/3 and the required equation is y = 2/3x

Learn more on rate of change here: https://brainly.com/question/8728504

math The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing. If there are 15 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed

Answers

Answer:

2730 ways

Step-by-step explanation:

Given that,

There are 15 eligible candidates for these positions.

The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.

It is a concept based on permutations.

[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]

Put n = 15 and r = 3

[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]

Hence, 2730 ways can the members of the cabinet be appointed

PLEASE HELP!!!! Liner equations & graphs!!! I REALLY NEED HELP W THIS !!!!

Answers

Answer:

line X

Step-by-step explanation:

LESSON 7 DEVELOP
MODEL IT: PLACE-VALUE CHARTS
Use place-value charts to show multiplying and dividing by powers of 10.
3 Complete each row with the product shown to the right of that row.
Ones
Tenths
Hundredths
Thousandths
.
0
0
0
5
.
0.005 X 10'
0.005 X 102
0.005 X 10
4 Complete each row with the quotient shown to the right of that row.
Ones
Tenths
Hundredths
Thousandths
DIS
5
0
.
0
0
5 + 10
How
digits
the do
when
5 - 102
any d
5 - 10
I thin

Answers

Hundredths, i believe

What is the slope of the line that passes through
the points (-8, 2) and (-8, -4)?

Answers

Answer:

The slope is undefined

Step-by-step explanation:

as - 4-2/-8-(-8)

Is - 6/0

what is the value of x?

Answers

Answer: The horizontal value in a pair of coordinates how far along the point is. The X Coordinate is always written first in an ordered pair of coordinate (x,y), such as (12, 5).

Step-by-step explanation: Hope This Helps :)

For a example, the value 12 is the X coordinate. And Also called Abscissa.                              

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown".

Find the difference write the answer in simplest form 11/18 -1/6

Answers

Answer:

4/9

or

0.4

Step-by-step explanation:

Tyler mows 7 lawns every week. He earns $10 for mowing each lawn. How much will he earn in 6 weeks?

Answers

Answer:

The Answer Would Be $420

Step-by-step explanation:

time 7 by 10 and get 70,

times 70 by 6 to get your final answer of $420

Please help with this

Answers

Answer:

Alternate interior angles or

Congruent

Step-by-step explanation:

Angle 3 and angle 6 are alternate interior angles

Alternate interior angles are congruent

An isosceles triangle has two sides of length n where n is an integer greater than 1. What is the smallest possible integer length of the third side?(1 point)

⌊n/2⌋+1

n−1

1

0

Answers

Answer:

1

Step-by-step explanation:

The answer is 1 because of the triangle inequality theorem. In order for the shape to be a triangle, two of the sides need to be smaller than one. The two sides we know of is n, n is equal to an integer greater than 1. So, in order for the triangle to be a triangle, the third side has to be at least 1. I also had the same question on my assignment.

Can somebody help me with my math I’ll give u brainlest

Answers

Answer:

yess!!

Step-by-step explanation:

''-''

Answer:

where are questions

Step-by-step explanation:

Question 16 please help me

Answers

The answer is 32.8 this is because using the Pythagorean it’s a”

What is (x-2)-(x-5)? Plz I will mark u brainliest.

Answers

Answer: 3

This is the simplified way

The following graph shows a proportional relationship.What is the constant of proportionality between y and x in the graph?

Constant Of Proportionality = ________

Answers

Constant of proportionality is 0.20 because constant of proportionality is k=y/x so 1/5=0.20 or 0.2

Answer:

Step-by-step explanation:

y=kx

(5,1)

1=k*5

1/5=k*5/5

1/5=k

The constant of proportionality between y and x in this graph is  

1/5

Alexandra’s soccer team played 25 games and won 22 of
them. What percent did the team win?

Answers

Answer:

88%

Step-by-step explanation:

25*4=100. this means we have to multiply 22*4, which gets us 88%

Answer:

0.88%

Step-by-step explanation:

25 divided by 22

Abigail took a science test and got 36 correct and 4 incorrect answers. What was the percentage of correct answers?

Answers

Answer: 88.89

Step-by-step explanation: You put the correct answers over the number of answers in total 32/36 then you divide: Multiply the denominator (bottom) of the fraction by a number to make the denominator equal 100.

Multiply the numerator (top) of the fraction by the same number.

Answer:

90%

Step-by-step explanation:

First you have to find out what is the total amount of questions so 36+4=40

Anyway the answer is 90

Doug drew two identical triangles. He wants to prove the converse of the Pythagorean Theorem by using both triangles. The first triangle has side lengths of 12 cm, 16 cm, and 20 cm, such that 122 + 162 = 202. Using the converse of the Pythagorean Theorem, enter the length of the side opposite the 90° angle of the second triangle.______cm

Answers

Answer:

Answer is explained in the explanation section

Step-by-step explanation:

Solution:

Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if  [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.

Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]

Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]

First of all let's check the first triangle is right triangle or not.

a = 12

b= 16

c= 20

So,

[tex]a^{2} + b^{2} = c^{2}[/tex].

144 + 256 = 400

400 = 400

Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle

hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.

Now, we have find out the side opposite to the 90 degrees angle, which is c.

we also know that, right triangles sides follow the pattern of 3x,4x and 5x

Since, c is the longest side.

Hence, c= 5x

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