A line passes through the points (2, 1) and (4, 9). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer 1
Answer:  y = 4x - 7

Explanation:

Let's find the slope of the line through those two points.

[tex](x_1,y_1) = (2,1) \text{ and } (x_2,y_2) = (4,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 1}{4 - 2}\\\\m = \frac{8}{2}\\\\m = 4\\\\[/tex]

Then we can apply point-slope form to transform it into slope-intercept form.

[tex]y-y_1 = m(x - x_1)\\\\y-1 = 4(x - 2)\\\\y-1 = 4x - 8\\\\y = 4x - 8+1\\\\y = 4x - 7\\\\[/tex]

Answer 2

Answer:

let point A be (2,1) and

B be (4,9)

Now,Slope =y2-y1

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

x2-x1= 9-1

---------

4-2

=8

-----

2

=4


Related Questions

A game has a spinner with 15 equal sectors labeled 1 through 15. what is p(multiple of 4 or multiple of 7)? 215 15 25 13

Answers

The probability that the spinner is multiple of 4 or multiple of 7 is 1/3

What is probability?

Probability is the likelihood or chance that an event will occur, Mathematically;

Probability = expected/total

If a game has a spinner with 15 equal sectors labeled 1 through 15, the total outcome is 15

P(multiple of 4) = 3/15 =1/5

Pr(multiple of 7 )= 2/15

p(multiple of 4 or multiple of 7) = 1/5 + 2/15
p(multiple of 4 or multiple of 7) = 5/15 =1 /3

Hence the probability that the spinner is multiple of 4 or multiple of 7 is 1/3

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how do u solve this equation? ↓
10 = 7 - m
thanksss

Answers

Answer:

17

Step-by-step explanation:

10=7-m

m=???

so if you do 10+7 which equal 17 and then do 17-7 you will get ten

m=17

have a good day

Answer:

the answer is -3

Step-by-step explanation:

10 = 7 -m

swap sides so that all the variable terms are on the left hand side

7 - m =10
subtract 7 from both sides

-m + 10 - 7

subtract 7 from 10 to get 3

multiply both sides by -1

m = -3

The number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:

B(d)= 2425e to the power of 0.15 d

How many days will it take for the bacteria to reach 3,700?

Answers

The time taken by the bacterias to reach 3,700 will be 2.81 days.

What will be the time?

It is given in the question that:-The the number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:

[tex]B(d)=2425\ e^{0.15d[/tex]

[tex]3700= 2425\ e^{0.15d}\\\\\\e^{0.15d}=\dfrac{3700}{2425}\\\\\\0.15d=ln\dfrac{3700}{2425}\\\\\\[/tex]

d   =   2.81  days

Hence the time taken by the bacteria to reach 3,700 will be 2.81 days.

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The graph shows triangle A B C is congruent to triangle D E F ​by S A S, where segment C A is congruent to segment F D, segment C B is congruent to segment F E, and angle C is congruent to angle F

Move the statements to the table to create a series of transformations that will map triangle A B C onto triangle D E F to show that the two triangles are congruent.
What is Transformation 1 and. Transformation 2

Answers

reflection on x-axis

then translations right 3 units & down 2 units

8. FInd the area. Hint: A=1/2bh
is my answer correct

Answers

The value of angle 2 will be equal to 132°.

What is the angle?

The distance between two intersecting lines or surfaces at or around the point where they meet (typically measured in degrees) is called an angle.

Given that:-

A line is intersecting two parallel lines and making angles one angle is 132 and another angle is need to be found.

We can see that the two angles are exterior opposite angles so the angle 2 will be 132

Hence the value of angle 2 will be equal to 132°.

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Solve The equation 1/4t-6=-4
t=

Answers

Answer:

t = 8

Step-by-step explanation:

Solve The equation 1/4t-6=-4

1/4t - 6 = -4

1/4t = 2

t = 2 * 4

t = 8

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

check

1/4 * 8 - 6 = -4

2 - 6 = -4

-4 = -4

the answer is good

The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate plane, and then rotates an additional 25 degrees. What is the measure of the angle?
A. 205°
B. 215°
C. 155°
D. 25°

HELP!!

Answers

The measure of the angle is 205°. Then the correct option is A.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

There are 4 quadrants and each quadrant has a measure of 90° angle.

The fact that the orientation is positive indicates that the arm is moving from the first to the second quadrant.

90° + 90° = 180°

The arm has been in the third quadrant due to the additional 25° rotation.

180° + 25° = 205°

The measure of the angle is 205°.

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Convert the angle to radians. leave as a multiple of pi.


324 degrees

a.

startfraction 8 pi over 5 endfraction

c.

startfraction 18 pi over 5 endfraction

b.

startfraction 9 pi over 5 endfraction

d.

startfraction 9 pi over 10 endfraction

Answers

The correct answer is C

What is the surface area of the prism in square inches? A prism is made up of 3 rectangles and 2 triangles. A rectangle has a base of 14 inches and height of 8 inches. A rectangle has a base of 14 inches and height of 5 inches. A rectangle has a base of 14 inches and height of 5 inches. 2 triangles have a base of 8 inches and height of 3 inches. 60 square inches 168 square inches 276 square inches 304 square inches.

Answers

Answer:

c: 275

Step-by-step explanation:

need help asap please

Answers

Answer:

The radius of the circle r=12.

The area of a circle is 144π.

Step-by-step explanation:

The radius of the circle is r where 2πr=24π, r=12.

The area of a circle with radius 12 is

A=πr², A=π12², A=144π.

PLEASE HELP I BEG YOU! IF I DONT FINISH MY CLASS TODAY I HAVE TO MOVE SCHOOLS

A printing service charges a set-up fee of $11.00 for each order and 15 cents more for each copy. The total cost, c (in dollars), for an order of x copies is given by the following function.
C(x)=11.00+0.15x
What is the total cost for an order of 40 copies?

Answers

Total cost = 11 + 0.15 times 40 copies
= 11 + 6 = 17

Answer:

$17 ( 17 USD )

Step-by-step explanation:

C(x)=11.00+0.15x

40 copies:

C(40) = 11+0.15(40)

C(40) = 11+6

C(40) = $17

Therefore, the total cost for an order of 40 copies is $17.

Hope this helps!!!

Please mark as brainliest!!!

P.S. I guess you don't have to change schools now?

Identify the initial mount (A) and the growth factor (B) be in each exponential function break into (1+r) where the r is the rate of growth. Give r as a percentage.

y = 1.4 (1.02)
a=
b=
r (as a percentage) =

Answers

A= 1.4
B= (1+.02)
Rate of growth as a percentage is 2%
Please give brainliest

Will mark brainliest for right answer

Answers

The answer is D, or (-6, -12).

Explanation:

When dealing with dilations and scale factors, you multiply by the given number to find what the resulting points will be.

NEED HELP ASAP!!! 50 POINTS Match the following items by evaluating the expression for x = -6.
x^-2
x^-1
x^0
x^1
x^2

Answers

Answer:

x^-2 = 1/36

x^-1 = 1/6

x^0 = 1

x^1 = -6

x^2 = 36

#1

(-6)^-21/(-6)²1/36

#2

(-6)^(-1)1/(-6)

#3

x^0(-6)⁰1

#4

(-6)¹(-6)

#5

(-6)²36

math hw 1

The Normal Distribution


pls help me with my homework!!


thanks,

Answers

Using the normal distribution, it is found that the desired measures are given by:

a. Z = -0.67.

b. X = 2.2.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In item a, we have that [tex]X = 36, \mu = 40, \sigma = 6[/tex], and want to find Z, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{36 - 40}{6}[/tex]

Z = -0.67.

In item b, we have that [tex]\mu = 1.3, \sigma = 0.6, Z = 1.5[/tex], and want to find X, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.5 = \frac{X - 1.3}{0.6}[/tex]

X - 1.3 = 0.6 x 1.5

X = 2.2.

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the value of y is directly proportional to the value of x .If y = 124 when x = 8 , what is the value of y when x= - 1/2

Answers

Answer:

-7.75

Step-by-step explanation:

[tex]\text{if}\ x = 8 \rightarrow y = 124\\y \propto x\\y = kx\\\\124 = k \times 8 = 8k\\\frac{124}{8} = \frac{8k}{8}\\15.5 = k\\\\\text{We've now found the formula}\\y \propto x\\y = kx = 15.5x\\\\x = -\frac{1}{2} \rightarrow y = ?\\y = 15.5x = 15.5 \times -\frac{1}{2} = -7.75[/tex]

Please help l don’t understand

Answers

Based on the graph given, the two points that need to be plotted are (9, 4) and (7, 3).

How should a graph on Age v. Hours of TV watched be plotted?

The points that are already plotted on the graph represent the results of the hours of television watched by children.

For instance, children of 6 years watched 2 hours of television. For that reason, the point where 6 (x axis) and 2 (y axis) meet on the graph is marked with an x.

The last two points would therefore be (9, 4) and (7, 3) to show that 9 year olds watch 4 hours of television and 7 year olds watch 3 hours of television.

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P(Head, Diamond AND Head, Heart) = ?

Answers

Using it's concept, it is found that the desired probability is given as follows:

P(Head, Diamond AND Head, Heart) = 1/64.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, for each trial, there are 8 equally as likely outcomes, hence:

P(Head, Diamond) = 1/8.P(Head, Heart) = 1/8.

Hence the probability of both outcomes is given by:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

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In the diagram, the length of segment AB is 10 units and the radius of the circle centered at A is 4 units. Use this to create two unique triangles, each with a side of length 10 and a side of length 4. Label the sides that have lengths 10 and 4.

Answers

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.

The two triangles can be made as shown below, the bigger triangle will be an equilateral triangle with each side measuring 10 units, while the smaller triangle will be an isosceles triangle and the measure of the same length side will be equal to the radius of the circle.

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What does paper folding have to do with exponents?

Answers

Answer:

See below

Step-by-step explanation:

If you take a whole sheet of paper and fold it in half, for instance, you will have 2 rectangles. If you fold it in half again, you will get 4 rectangles, and so on. Each time you fold by one-half, you keep doubling the amount of rectangles.


Ronald is attending a schoolorchestra concert. He sees his math teacher seated 24 meters
ahead of him and his science teacher seated 10 meters to his right. How far apart are the two
teachers?

Answers

Answer:

26 m

Step-by-step explanation:

Use pythag theorem

24^2 + 10^2  = d^2

d= 26 m

a girl saved $13.50 in 6 weeks. at that rate, how long will it take to save $108?

Answers

Answer:

48 weeks to save $108

Step-by-step explanation:

$13.50 = 6 weeks so dividing both sides by 6 would find out how much each week

$13.50 / 6 = 6 / 6 weeks

$2.25 = per week

so $2.25 times _____ = $108

2.25x = 108 divided both side by 2.25 to get x alone

x is defined by the number of weeks

2.25x / 2.25 = 108 / 2.25

x = 48            $2.25 times   48   = $108

help me please i would pay you but i cant

Answers

Answer:

-3k + 10

Step-by-step explanation:

you have to combine -8 and 2 because they are like terms, but since -8 is being subtracted from -3k the minus sign and the negative sign basically combine to make a positive sign so it would make it -3k + 8 + 2 which gives you -3k + 10

Answer: Heyaa! ~

Your Answer is... − 3k+10

Step-by-step explanation:

Just Combine the terms! ^

Hopefully this helps you! ~

Find the measure of exterior angle 1

Answers

Lol, I am learning about this too!! The trick is to add 60 and 25. Meaning your answer is B. (85)

Simplify.
Remove all perfect squares from inside the square root. Assume aaa is positive.
\sqrt{27a}=

Answers

Answer:

I hope this is the whole question

Step-by-step explanation:

Well I can only see one way and it is this...

[tex]\sqrt{27a}[/tex]  =  [tex]\sqrt{3.3.3.a}[/tex]

         =  [tex]3\sqrt{3a}[/tex]

I got rid of one perfect-square. I dont think you can do much more.

What is the distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth?

Answers

Step-by-step explanation:

first, draw a graph and subtract the nbers in brackets with the others. when done -6,-4 will help you solve the answer

The  distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units

Distance between two points

The formula for calculating the distance between two points is expressed as:

D = √(y2-y1)²+(x2-x1)²

Given the coordinate points X(−4,3) and Y(2,−7)

Substitute

XY = √(-7-3)²+(2+4)²

XY = √(-10)²+(6)²

XY = √100+36
XY = √136

XY = 11.7 units

Hence the  distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units

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Help me please I forgot how to do this

Answers

[tex]\bold{FULL SOLUTION:}[/tex]

2. The annual cost of science club membership is $ 95. The cost
increases by $20 every year. How much will it cost in 9 years?

Answers

Answer:

275

Step-by-step explanation:

20 x 9 = 180

180 + 95 = 275

A, B and C lie on a straight line.
Given that angle
y
= 135° and angle
z
= 103°, work out
x
.

Answers

Answer:

x = 42

Step-by-step explanation:

a striaght line = 180°

z + y + x = 180

103 + 135 + x = 180

138 + x = 180

subtract 138 from both sides

138 - 138 + x = 180 - 138

x = 42

Answer:

what shape it is

Step-by-step explanation:

wat is the shape

-5(8a - b) - 2(-6a + 9b)

Need answer plis

Answers

The simplified answer is: -28a - 13b
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