A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?

A Line Passes Through The Points (0, 9) And (9, 19). What Is Its Equation In Slope-intercept Form?

Answers

Answer 1

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}[/tex]

Therefore, the slope (m ) = 10/9.

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b ). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9


Related Questions

Which equation has no real solutions?
A 2x2 + 2x + 15 = 0
B 2x2 + 5x – 3 = 0
C 1 x2 + 7x + 2 = 0
D x2 - 4x + 2 = 0

Answers

A has no real solution. See the picture below for details.

What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 20in, and a length of 19in?

Answers

Formula for volume is L*W*H so answer is 4180

The volume of the rectangular prism is 4180in^3.

What is rectangular prism?

"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".

For the given situation,

Length of the rectangular prism = 19 in

Width of the rectangular prism = 20 in

Height of the rectangular prism = 11 in

The formula for volume of the rectangular prism,

[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]

On substituting the values,

⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]

⇒[tex]V=4180[/tex]

Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].

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At the Pizza place, 12% of the pizzas made last week had extra cheese. If 30 pizzas had extra cheese, how many pizzas in all were made last week?

Answers

Answer: 250

Step-by-step explanation:

Given

12% of the Pizzas had extra cheese

If those pizzas were 30 in number

Suppose, x be the total Pizzas

So, 12% of x is 30

[tex]\Rightarrow x\times \dfrac{12}{100}=30\\\\\Rightarrow x=250[/tex]

Thus, 250 Pizzas were maid last week

HELP NEEDED!!! 15POINTS FOR A ANSWER AND EXPLANATION! I cant figure this out help me please! Also no links.

Answers

Answer:

Line I:y=5

Line m:y=_2×+5

Line n:y=×-1

Line p:×=_5

Step-by-step explanation:

Hope It Help

Brainliest Please

I need help on this math problem quickly!!

Answers

the second oneeeeeeeee

if (x-y)=15 what is the value of x^2 -2xy+y^2​

Answers

Answer:

=225

Step-by-step explanation:

The value of x² - 2xy + y² would be; 225

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

we are given that (x-y)=15

The identity (x + y)² - (x - y)² = 4xy.

(x + y)²= (x² + 2xy + y²)

we have been asked to find x² - 2xy + y²

x² - 2xy + y² = (x - y)²

x² - 2xy + y² = 15²

x² - 2xy + y² = 225

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..
A cone has a height of 4 inches and a
circumference at the base of 121 inches.
What is the approximate volume of the cone?

Answers

Answer:

Approximately 1553.83

Find the area of the figure shown below and choose the appropriate result.

A. 96 mm^2
B. 102 mm^2
C. 90 mm^2
D. 140 mm^2

Answers

Area of rectangle is 9x 10- —-90 mm
Are of triangle is 6x4x1/2—- 12
Together 90+12=102
Answer is B

(a) An angle measures 30°. What is the measure of its supplement?
(b) An angle measures 26°. What is the measure of its complement?

Answers

Answer:

32 and 58.

Step-by-step explanation:

complementary angles add up to 90.

26+x=y

x+y=90

plug y=26+x into the above equation

x+26+x=90

2x=64

x=32

The angles are 32 and 58.

help please i don’t get it

Answers

I had that on my test too

i need a little help with this

Answers

The answer is B i believe.
The answer is b good luck

please help ASAP!!!
A cone has a radius of 2.5 inches and a height of 1.6 inches.

What is the volume of the cone?

Use 3.14 for pi. Round to the nearest tenth.


4.0 in³

10.5 in³

12.0 in³

23.1 in³

Answers

Answer: B, 10.5in cubed
Step by step explanation:
The formula for calculating the volume of a cone is V=pitiless radios squared times (height divided by 3)
Simplified as 3.14 times 6.25 times .53 =10.4, which you round up to 10.5.

Hope this helps! Good luck on your homework

What does the following equal? Please help me!

Answers

Answer:

the first answer

Step-by-step explanation:

1/8 of the absolute value is 1/8 positive

anything from the absolute value is positive because absolute value is the value of how far away the number is from zero.

Answer:

-1/8

Step-by-step explanation:

The Americans with disabilities act sets a maximum angle for a wheelchair ramp entering a business at 4.76 degrees. Determine the horizontal distance needed to accommodate a ramp that goes up to a door.

Answers

Answer:

Step-by-step explanation:

tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.

d=h/tanα, we are given that h=4ft and α=4.76° so

d=4/tan4.76° ft

d≈48.04 ft  (to nearest hundredth of a foot)

Find the correct value of 2/3 plus 1/2 plus 5/12

Answers

Answer:

2/3 + 1/2 = 1.16666666667

therefore the answer is 1.58333333333

A chemist has a 100 gram sample of a radioactive
material. He records the amount of radioactive material
every week for 6 weeks and obtains the data in the
table below.


look at the picture please <3 i really need this asap

Answers

Answer:

75

Step-by-step explanation:

did it 5 mins ago

Options are:
CPCTC
Congruent
vertical angles are congruent
If alternate interior angles are congruent then lines are parallel

Answers

Answer:

1) because they are vertical angles

2) because SAS

3)  CPCTC

4) Converse of the Alternate Interior Angles

when a car speed is 24 km/hr a journey takes 80 minutes what must the speed be for the same journey to take 60 minutes?

Answers

Answer:

32 km/ hr

Step-by-step explanation:

Given that :

Speed of car = 24km/ hr

Time taken =. 80 minutes = 80 / 60 = 1.33333 hours

The distance traveled :

Speed * time

24 km/hr * 1.333333 = 32 km

Speed required to complete 32 km. Journey in 60 minutes = 1 hour

Speed = distance / time

Speed = 32 km / 1 hour

Speed = 32 km/ hr

Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?​

Answers

Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

Answer:

Step-by-step explanation:

AC is 220000km according to the drawing:

determine the missing length in your right triangle using the Pythagorean theorem. round your answer to the nearest 10th if necessary

Answers

Answer:

21.4

Step-by-step explanation:

13^2 + 17^2 = c^2

169 + 289 = c^2

458 = c^2

The square root of 458 is 21.4.

V 144 belongs to the set of integers.
O True
O False

Answers

Answer:

True

Step-by-step explanation:

[tex] \sqrt{144} [/tex]

is a rational number.

It is also a perfect square which means it is an integer.

Hope this Helps!

:)

Answer:

Step-by-step explanation:

True.  √144 = 12 (an integer) or 12/1, which is rational.

Math question Pls help

Answers

Answer:

B. Strong negative association

Step-by-step explanation:

It's a negative because the slope is going from left to right downwards

find the distance between each pair of points (-3,4) (2,6)

Answers

Answer:

≈ 5.4 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (2, 6)

d = [tex]\sqrt{(2+3)^2+(6-4)^2}[/tex]

   = [tex]\sqrt{5^2+2^2}[/tex]

   = [tex]\sqrt{25+4}[/tex]

   = [tex]\sqrt{29}[/tex]

   ≈ 5.4 ( to 1 dec. place )

I REALLY NEED HELP I WILL MARK BRAINLIEST

Answers

Im so sorry i don't know.

Solve using the quadratic formula 1

Answers

Answer:

Step-by-step explanation:

Unless we set x^2 + 8x + 15 equal to zero, we don't have an equation to be solved.  I will assume that the problem is actually x^2 + 8x + 15 = 0.

The coefficients of this quadratic are {1, 8, 15}, and so the "discriminant" b^2 - 4ac is (8)^2 - 4(1)(15), or 4.  Because the discriminant is positive, we know that there are two real, unequal roots.

Continuing with the quadratic formula and knowing that the discriminant is 4, we get:

      -8 ± √4           -8 ± 2

x = ---------------- = --------------- , or x = -2 ± 1:  x = -3 and x = -5

          2                       2

Stacy saved some dimes. Leo saved 3 times as many dimes as Stacy. If Leo saved a total of 72 dimes, how many dimes did Stacy save? Let n represent the number of dimes that Stacy saved.

Answers

Answer:

Leo: 3n Dimes

Leo: 72 Dimes

Stacy: 72/3 Dimes

Stacy: 24 Dimes

Two cars leave simultaneously from points A and B, the distance between which is 280 km. If the cars move to meet each other, they’ll meet in 2 hours. But if they move in the same direction, then the car going from point A will catch up with the car going from point B in 14 hours. What is the speed of each of the cars?

Answers

Answer:

Car A speed = 80 m/s

Car B speed = 60 m/s

Step-by-step explanation:

Let Speed of Car A be represented as x

Let Speed of Car B be represented as y

280 = (x+y)(2)140 = x+y --> Equation 1

Let z represent the distance that Car A travels until it catches up to Car B

280+z = x(14)

Since it takes 14 hours for Car B to cover the distance z,

z = 14y280+14y = 14x280 = 14(x-y)20 = x-y --> Equation 2

Solving Equation 1 and Equation 2, we get:

x = y+20140 = 2y+20120 = 2yy = 60 x = y+20 = 80

Answer:

Car A speed = 80 km/h

Car B speed = 60 km/h

Step-by-step explanation:

What is the distance in units from (2, -12) to (-11, -12)
20 POINTSSS
HURRY PLEASEEEE

Answers

Answer:

d= (-11-2)^2 + (-12--12)^2

d= (-13)^2 + (0)^2

d=169

square root the 169

answer is 13

that's the distance from (2, -12) (-11, -12)

hope that helps

Step-by-step explanation:

The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units

What is the distance of a line between 2 points?

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

Given data ,

Let the distance between the two points be = D

Let the first point be represented as = A

The value of A = A ( 2 , -12 )

The second point be represented as = B

The value of B = B ( -11 , -12 )

Now , the distance between the points A and B is given by the equation of distance formula

[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

Substituting the values in the equation , we get

[tex]Distance D = \sqrt{(-12-(-12)^{2} + (2-(-11))^{2} }[/tex]

On simplifying the equation , we get

[tex]Distance D = \sqrt{(0 + (2+11))^{2} }[/tex]

[tex]Distance D = \sqrt{(13)^{2} }[/tex]

[tex]Distance D = 13[/tex]

Therefore , the value of D is 13

Hence ,

The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units

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X 2. Gi'shon needs to complete the expressions below to factor x2 + x - 56. 0/1 Which of the following must be true? * ( x1)x___)
F. Both expressions will include subtraction.
G. The sum of the values in the blanks should be 1. X Х
H. The product of the values in the blanks should be 56.
J. The values in the blanks will be the same number but opposite signs​

Answers

Answer: gggggg
g the sum of values are 1

Step-by-step explanation: 8-7=1

The factorized form of the expression is A = ( x - 7 ) ( x + 8 ) and sum of the values in the blanks should be 1

What is Factorizing?

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = x² + x - 56

On factorizing the equation , we get

A = x² + 8x - 7x - 56

8x - 7x = 1

So , A = ( x - 7 ) ( x + 8 )

Hence , the expression is A = ( x - 7 ) ( x + 8 )

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Please help me this is on khan academy.
Mr. Mole's burrow lies 5 55 meters below the ground. He started digging his way deeper into the ground, descending 3 33 meters each minute. Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).

Answers

At the 95% confidence level, the margin of error for this survey, expressed as a proportion, is approximately 0.0288.

To calculate the margin of error for a survey expressed as a proportion, we need to use the formula:

Margin of Error = Critical Value [tex]\times[/tex] Standard Error

First, let's find the critical value.

For a 95% confidence level, we can refer to the standard normal distribution (Z-distribution) and find the z-value associated with a 95% confidence level.

The critical value for a 95% confidence level is approximately 1.96.

Next, we need to calculate the standard error.

The standard error for a proportion can be computed using the formula:

Standard Error [tex]= \sqrt{((p \times (1 - p)) / n)}[/tex]

Where:

p = proportion of respondents in favor of the plan

n = sample size

In this case, the proportion in favor of the plan is 37/185 = 0.2 (rounded to the nearest thousandth).

The sample size is 185.

Now we can calculate the standard error:

Standard Error [tex]= \sqrt{((0.2 \times (1 - 0.2)) / 185)}[/tex]

Simplifying further:

Standard Error ≈ [tex]\sqrt{((0.04) / 185)}[/tex]

Standard Error ≈ [tex]\sqrt{(0.0002162)}[/tex]

Standard Error ≈ 0.0147 (rounded to the nearest thousandth)

Finally, we can calculate the margin of error:

Margin of Error = 1.96 [tex]\times[/tex] 0.0147

Margin of Error ≈ 0.0288 (rounded to the nearest thousandth)

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