Find the slope of the line that contains the points (2,5) and (4,8).

Answers

Answer 1

Answer: Slope = 3/2 or 1.5

Answer 2

Answer: y= 1.5 x+2 or y=3/2x+2

Step-by-step explanation:Slope (m) =

ΔY

ΔX

=

3

2

= 1.5

θ =

arctan( ΔY )

ΔX

= 56.30993247402°

ΔX = 4 – 2 = 2

ΔY = 8 – 5 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

y = 1.5x + 2

or

y =

3 x

2

+ 2

When x=0, y = 2

When y=0, x = -1.3333333333333


Related Questions

A line passes through the points (-6, -8) and (-3,-7).

What is the equation of the line in Slope-Intercept Form?

A)y=1/3x-6

B) y=3x-6

C)y=1/3x+6

D) y=3x+6

Answers

Answer:    A)  y =  ¹/₃ x - 6

Step-by-step explanation:  

        For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points, (-6, -8) and (-3,-7), from which we can find the slope and later the equation of the line.

 

Finding the Slope  

The slope of the line (m) = (-8 - (-7)) ÷ (-6 - (-3))    

                                          =  -1 ÷  (-3)  

                                          =   ¹/₃  

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                 ⇒  y - (-7) =   ¹/₃ (x - (-3))  

  we could also transform this into the slope-intercept form ( y = mx + c)

                                   since  y + 7 =   ¹/₃ (x + 3)

                                         ⇒     y + 7 =  ¹/₃ x + 1

                                                                                  ∴  y =  ¹/₃ x - 6

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

John has 4 milligrams of copper and 0.76 milligram of lead.
How much more copper does he have than lead?
A
3.24 milligrams
B 32.4 milligrams
C 4.76 milligrams

Answers

Answer:

A 3.24 milligrams

Step-by-step explanation:

4 milligrams of copper - 0.76 milligrams of lead = 3.24 milligrams.

brainliest please. . . .

Can someone help me with this?!

Answers

Answer:

1) measure angle T= 72, measure angle U=54

2)measure angle M=76, measure angle N=76

3)EF= 18 inches, measure angle F=134

4)measure angle P,Q,R= 60

Step-by-step explanation:

The US dollar can be exchanged for other types of currency in the world the exchange rate is always changing suppose one eruro is equivalent to two dollars
HELP DUE TODAY! PLS HELPP



1. 2. 5. 10. Euro

2. ? ? ? US dollars

Answers

Answer:

$2, $4, $10, $20

Step-by-step explanation:

1*2=2

2*2=4

5*2=10

10*2=20

Are these functions or not functions?

Answers

Function my boy ya diididiidiidiiddiidididididiidididididiidididi

Find the percent decrease. Round to the nearest percent.


From 99°F to 72°F

Answers

Answer:

Step-by-step explanation:

71.28

Find the measure of the angles (S)

Please help out:/

Answers

Answer:

Step-by-step explanation:

The triangle’s angles add up to 180°

so 180 - (5x - 2) = the another one interior angle

180 - 5x + 2

182 - 5x

and then 2x + 76 + (182 - 5x) = 180

2x + 76 + 182 - 5x = 180

258 - 3x = 180

78 = 3x

x = 26

so 2x = (26)(2) = 52

5x - 2 = (5)(26) - 2 = 128

please give me a brainliest answer

Suppose y varies directly as x, if y = 15 when x = 12, find x when y = 21.

Answers

Answer: x = 26

                    1

                     -

                     4

Answer:

16.8

Step-by-step explanation:

we have to do  Unitary method.

when y=15 then x=12

when y=1 the x=12/15

when y=21 then x=(12*21)/15

x=16.8

can you solve this for me step by step please!!!

Answers

Answer:

60 DEG

Step-by-step explanation:

Angle on a straight line = 180 DEG

Equation:

4x + 2x + 90 DEG = 180 DEG

6x = 90 DEG

x = 15 DEG

Therefore,

angle LMN = 15 * 4 = 60 DEG

What theorem can be used to prove
these triangles are congruent?
ASA
SAA
neither

Answers

ASA is the theorem i think
ASA- 2 pairs of congruent angles and I pair of congruent sides but is NOT located between the pairs of angles

if a×b÷2=a÷2 then b =​

Answers

if a×b÷2=a÷2 then b = 1

Plz help and explain the answer

Answers

$1.62 because 3 x 0.54

Hey there!

If she bought 3 LBS (pounds) of bananas and they cost 54¢ per lb, then your equation should look like this: 3 × 0.54 = t and you should be able to find the answer from there!

t = result / how much he spent in total

Equation:

t = 3 × 0.54

3 × 0.54 = t

SIMPLIFY IT

t = 1.62

Therefore, Erin spent ≈ $1.62 (1 dollar & 62 cents)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

LY!
Fill in the missing numbers to complete the pattern:
2.6, 3.1,
4.6, 5.1

Answers

The pattern is adding 0.5 each time. So the missing values are:
3.6 and 4.1

The sum of 24 and 3 times a number y is equal to 56

Answers

Answer:

Step-by-step explanation:

24+3y=56 solve for y, subtract 24 from each side

3y=32 divide each side by 3

y=32/3

Answer:

y=32/3

Step-by-step explanation:

let the number be y, then

24+3y=56 solve for y, subtract 24 from each side

3y=32 divide each side by 3

y=32/3

What is w(53)is equal to

Answers

Answer:

Step-by-step explanation:

The question is slightly ambiguous. The problem is, do you find the first 40 hours using 10x and then the second equation using x >40. I don't think so, but it should be made clear. It turns out that the first 40 hours does equal 400 so that you can use the second expression with no worries.

w(53) = 15(53 - 40) + 400

w(53) = 15(13) + 400

w(53) = 195 + 400

w(53) = 595

helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee​

Answers

Answer: The attachment is a bit difficult to read, and long.  I'll make some suggestions and add some detail to a few of the problems, but would ask that these suggestions be applied to other problems to find the answers.

Step-by-step explanation:

9.   Coinciding lines line on top of each other.  I.e., they are the same equation.  If we take A, for example, we can reduce the second expression by dividing by 2:  (2x+4y=6)/2 = (x + 2y = 3).  This matches the first expression (x + 2y = 3).  !   Whoa, that went fast.

10.   (x+8)(x-8) = x² +8x -8x - 64 = x² - 64

11.  I don't have the time to explain how one can factor, but practice is important.  And I don't know if this is completely factored, but it matches one of the options.  Try (n-2)(n²+2n + 4)  [n³ +2n² +4n - 2n² -4n -8 = n³ - 8.  It works.

12.  The denominators are the same, so add the numerators and keep the denominator.  (7x+4y)/x²y

13.  The slope is the "Rise" over the "Run."  (3,4), (8,-1)  Rise = (-1 - 4) = -5.  Run = (8-3) = 5  Slope = -(5/5) = -1

14.  A line with a positive slope will move upwards as x increases.  We can eliminate options C and D immediately.  That leaves A and B.  The line we are looking for is y = 5x + b.  We are not given b, the y-intercept, so determine the slopes of both lines:  I get 4 for A and 5 for B.  To confirm B is correct, we could calculate b for y=5x+b by using given point, (2,3).  3 = 5*2 + b, b = -7.  We can't see this point (0,-7) on the graph, but it appears correct.  B is the best answer.

15.  The line will have the form of y=mx+b.  Calculate m, the slope, from the two points (3,1) and (4,7).  Rise = 6, Run = 1  Slope = 6.  y=6x+b.  Find b by using either of the given poins and solving for b.  I'll choose (3,1).  y=6x+b;  1 = 18 + b; b = -17.  The equation is y=6x-17.  Rearrange option A (y =6x - 17).

16.  The second value in each factor must, when multiplied together, equal the final term of the original expression, -9y².  I see only one option for which that is true, C.  Multiply the two factors in C to be certain, and you'll find they result in the correct expression.

Find the equation of the circle in standard form given the center, point or radius. Show your solution.
Center (-3,5) & Point (-2,1)​

Answers

Answer:

(x + 3)^2 + (y - 5)^2 = 17

Step-by-step explanation:

To find the radius: distance from point (-2,1) to the center from point (-3,5).

d = sqrt [(-2 - -3)^2 + (1 -5)^2]

d = sqrt [(-2 + 3)^2 + (1 -5)^2]

d = sqrt (1)^2 + (-4)^2 = sqrt 17

Radius = sqrt 17

Equation of the circle:

(x - h)^2 + (y - k)^2 = r^2

h = 3, k = 5, r = sqrt 17

(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2

(x + 3)^2 + (y - 5)^2 = 17

Two more than a number is the same as 16 decreased by 6 times the number. Find the number.

Answers

Answer:

X+2=16-6x

X=14-6x

Add 6x on both sides.

7x=14

Divide both sides by 7.

X=2

A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?
1. 3/5
2. 3/7
3. 7/12
4. 7/20

Answers

Answer:

15/25 which simplifies to 3/5 which is the first answer

Step-by-step explanation:

1 (a) (i) Yasmin and Zak share an amount of money in the ratio 21 : 19.
Yasmin receives $6 more than Zak.
Calculate the total amount of money shared by Yasmin and Zak.
(ii) In a sale, all prices are reduced by 15%.
(a) Yasmin buys a blouse with an original price of $40.
Calculate the sale price of the blouse.

Answers

Answer: 1(a) $120

(ii a) $34

Step-by-step explanation:

21-19 = 2

$6/2=3

21x 3( one ratio =$3) =63

19x3 = 57

63+57=120 - (1 A ans)

(ii a) 40x0.15 (percentage decrease)= 6

40-6 = $34

The total amount of money shared by Yasmin and Zak is $120.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

(i) The given ratio is 21:19

Let Zak be having $x, the Yasmin will be having $(x+6).

Now, 21/19 = x+6/x

21x=19x+114

2x=114

x= $57

So, x+6= 57+6 = 63$

Total 63+57=$120

(ii) Given that, Yasmin buys a blouse with an original price of $40.

In a sale, all prices are reduced by 15%.

Now, 15% of 40

= 15/100 ×40

= 0.15×40

= 6

New cost =40-6

= $34

Therefore, the sale price of the Yasmin's blouse is $34.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

If a hole is 7 feet deep and 4 feet wide how much dirt is in the hole?

Answers

Answer:

3 is the correct answer tbyvcrdgevzc

A pet store has 15 birds and 75 fish.
In simplest form, what is the ratio of birds to fish in the pet store?
O1/6
O1/5
O5/1
I don't know

Answers

Answer:

1/5

Step-by-step explanation:

For every bird in the store there will be 5 fish.

Because there is 5 times more fish then birds.

Using the ratio concept, the number of birds to fish expressed as a ratio is 1/5

Given the Parameters :

Number of birds = 15 Number of fishes = 75

Ratio of the number of birds to fish can be expressed thus :

Number of birds : Number of fishes

15 : 75

Divide both sides by 15

1 : 5

Hence, the ratio of birds to fish is 1/5

Learn more : https://brainly.com/question/18796573

I need to show my work help

Answers

Answer:

it will take 90 minutes

Step-by-step explanation:

10 - 6 = 9

9 x 10 = 90

Answer:

give the other guy brainliest he deserves it

Step-by-step explanation:

Which box plot represents a set of data that has the greatest mean absolute deviation?


A box-and-whisker plot. The whiskers have a range of 9 units, and the box has a range of 6 units.
A box-and-whisker plot. The whiskers have a range of 10 units, and the box has a range of 2 units.
A box-and-whisker plot. The whiskers have a range of 6 units, and the box has a range of 2 units.

Answers

Answer:

d

Step-by-step explanation: i took the test and pasted

Answer

Graph 2

Step-by-step explanation:

Which sets are NOT closed under subtraction? Choose all that apply.

-Odd numbers
-Integers
-Prime numbers
-Natural numbers
-Irrational numbers
-Even numbers

Answers

neither all can be substrates

Mario measured the depth of the river as a function of time and graphed his findings. Use this graph to answer the following question.



What is the maximum depth of the river?

1 meter


22 minutes


10 meters


9 minutes

Answers

Answer:

10 meters

Step-by-step explanation:

highest value on y-axis

X-9/-4=7 what is the value of x?

Answers

Answer:

X= 19/4

Step-by-step explanation:

Answer:

4,75

Step-by-step explanation:

x-9:(-4)=7

-9:(-4) = +2,25

x+2,25=7 / -2,25

x= 7-2,25

x= 4,75

Write an expression for each of the following:

a. the sum of 6 and z

b. the difference between 20 and x

c. 8 less than the quotient of x divided by 6

d. x increased by 5 divided by 4

Answers

Answer:

6 + z

20 - x

x/6 - 8

5x/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a.6+z

b.22-x

c.8-x÷6

d.x+15÷4

It says find the product, then list the units. Please explain how to do this! Best explanation gets brainliest

Answers

Answer:

$72

Step-by-step explanation:

it is like how much someone earns for 8 hours of work at the rate of $9 per hour.

The rate of the answer is dollars since it's the money earned

4a+3=40 help please!!!!

Answers

4a + 3 = 40

---Subtract 3 from both sides

4a = 37

---Divide both sides by 4

a = 37/4 = 9 1/4 = 9.25

Hope this helps!! :)

Answer:a= 9 1/4 as a mixed number

Improper: 37/4

Move all terms that don't contain a to the right side and solve.

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