Find the equation
of the line
that goes through (-3,4) and
(6,7) in the form of y=mx+b.

Answers

Answer 1

Answer:

y = (1/3)*x + 5

Step-by-step explanation:

Step 1: determine slope or m

m = change in y-coordinates ÷ change in x-coordinates

m = (4-7)/(-3-6) = -3/-9 = 1/3

Step 2: determine y-intercept or b

y = m*x + b

y = (1/3)*x + b

4 = (1/3)*(-3) + b

4 = -1 + b

b = 5

Step 3: substitute values for m and b into the slope intercept equation

y = (1/3)*x + 5


Related Questions

atty had four times as many quarters as nickels. She had $12.60 in all. How many nickels and how many quarters did
he have?
Which of the following equations could be used to solve the problem?

n+5n=1,260
25n+100 n=1,260
On+ 5 n=12.60
O5 n+100 n=12.60

Answers

it might be number b

Find the missing base of the triangle when the area is 94.5cm2

Answers

Answer:

this is your answer

hope it will help you

In an agricultural class, there are 17 freshmen students and 19 sophomore students. What ratio compares the number of freshmen to the number of sophomores (F:S), and what ratio compares the number of sophomores to the number of freshmen (S:F)

Answers

Answer:

Freshmen to sophomores - (17:19)

Sophomores to freshmen - (19:17)

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

can someone please help me with this

Answers

Answer:

[tex]d = \sqrt{109}[/tex]

Step-by-step explanation:

Use the distance formula.

[tex]\text{The distance between two points } (x_1, y_1) \text{ and } (x_2, y_2) \text{ is given by the formula:}\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Your points are (-4, 11) and (6, 8).

[tex]d = \sqrt{(-4 - 6)^2 + (11 - 8)^2}\\\\d = \sqrt{(-10)^2 + (3)^2}\\\\d = \sqrt{100 + 9}\\\\d = \sqrt{109}[/tex]

[tex] \frac{2}{3} n (4p + \sqrt{36} - 2 {n}^{2} [/tex])

n= -3
p=5

need urgent help

Answers

Answer:

-16.

Step-by-step explanation:

2/3 * (-3) * (4*5 + 6 - 2(-3)^2)

= -2(20 + 6 - 18)

= -2 * 8

= -16.

if population function x has mean M(x)=2 and M(x²)=8, find its standard deviation​

Answers

The standard deviation of the population function is 2

How to determine the standard deviation?

The given parameters are:

M(x) = 2

M(x²)=8

The standard deviation is calculated using:

[tex]\sigma = \sqrt{M(x^2) - (M(x))^2[/tex]

Substitute known values

[tex]\sigma = \sqrt{8 - 2^2[/tex]

Evaluate the expression

[tex]\sigma = 2[/tex]

Hence, the standard deviation of the population function is 2

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Select the correct answer from each drop-down menu. policy is the actions taken by the to influence the real gdp and the inflation rate in the economy.

Answers

Monetary policy is the actions taken by the reserve banks to influence the real GDP and the inflation rate in the economy.

What is Monetary policy?

These are actions done by the central bank of a country and involves adjusting money supply so as to achieve economic growth.

This influences the real gross domestic product and inflation rate of the country .

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Answer: Monetary and Reserve Bank

Step-by-step explanation:

;)

64^2 -7y+9 what is the answer

Answers

Answer:

y=586.4

Step-by-step explanation:

64^2= 64x64 = 4096

4096-7y+9=0

4105-7y=0    1. +7y on both sides

4105=7y       2. /7 on both sides

y=586.4

If the coordinate of A is (0, -2) and the coordinate of B is (10, -6), the then midpoint of \overline{AB} AB is: Part A The X portion of the midpoint is __________________. Part B The Y portion of the midpoint is _________________.

Answers

Step-by-step explanation:

it is very simple :

the midpoint coordinates are created as the midpoint of the x coordinates, and the midpoint of the y coordinates.

the x coordinate of the midpoint is

(0 + 10)/2 = 10/2 = 5

the y coordinate of the midpoint is

(-2 + -6)/2 = -8/2 = -4

Bill is also planning to buy a condo and he needs to finance $115,000. At which mortgage lender will Bill get the better deal? How much less will Bill pay with this lender?

Answers

The better deal based on the information is mortgage A as it's cheaper.

How to calculate the better deal?

From the information given, the loan amount for mortgage A will be:

= 3% × $4500

= $135

The loan amount for mortgage B will be:

= 6% × $7500

= $450

From the information, the better deal is mortgage A.

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A six-sided die is rolled seven times. What is the probability that the die will show an even number at least six times?

Answers

Answer:

Step-by-step explanation:

Explanation

On a 6 sided die, there are three even numbers (2,4,6)

That's 1/2 the number on the die.

So getting 6 even numbers is

P(6) = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 0.00781

Where did that extra 1/2 come from? Well one of the numbers thrown was an odd number, and it has to be counted.

P(7) = the same answer.                            0.00781

Total                                                           0.0156

Evaluate P(4, 2)
O 24
O 12
06

Answers

Answer: 12
Hope i helped!! :)

Describe how you would The list below shows the ages of all the presidents inaugurated in the twentieth century. Make a stem-and-leaf plot to answer the question.

42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54

In a stem-and-leaf plot of the data, how many leaves does stem 5 have?show the number 4 and 89 on a stem-and-leaf plot.

Answers

The stem-and-leaf plots for both data set are shown in the attachment below.

Stem 5 would have 10 leaves.

How to Make a Stem-and-leaf Plot?

For example, if 23, 24, 25, 28 are data points in a data distribution, 2 would be represented as a stem while 3, 4, 5, 8 would be the leaf of the stem. The data would be represented on the stem-and-leaf plot as: 2 | 3, 4, 5, 8.

Given the data, 42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54, the stem-and-leaf plot is shown in the image attached below.

Stem 5 would have 10 leaves, as shown in the stem-and-leaf plot attached below.

The numbers 4 and 89 are represented on the second stem-and-leaf plot in the attachment below.

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Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)

Answers

Answer:

-16n-41

Step-by-step explanation:

Answer:

-16n - 41

Step-by-step explanation:

(2 • (-n - 3)) -  7 • (2n + 5)

-n - 3  =   -1 • (n + 3)

-2 • (n + 3) -  7 • (2n + 5)

-16n - 41  =   -1 • (16n + 41)

Use the leading term for your answer

-16n - 41

One force of 700 pounds and one force of 490 pounds act on a body at the same point so that the resultant force is 1120 pounds. find the angle between the resultant and the smaller force, to the nearest degree.

Answers

Answer:

angle 700 < angle 1120 pounds

Lisa kicked a ball against the wall at the indicated angle. what is the measure, in degrees, of <1?

Answers

The measure of angle ∠1 will be 68 degrees.

The missing graph is given below.

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.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The diagram is given below.

Then the measure of angle ∠1 will be

68° + 44° + ∠1 = 180°

                  ∠1 = 68°

The measure of angle ∠1 will be 68 degrees.

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PLEASE HELP ASAP <3
Evaluate: 23+x/8 for x = 8
O 24
O 3.875
O 20
O 18

Answers

Answer:

Your first step would be to rewrite the equation, were x =8 so it would look like this

Step-by-step explanation:

23 + 8/8 = ?

than solve. 8/ 8 = 1 and 23+1 = 24

HELP ASAP 50 POINTS - WILL MARK BRAINLIEST
At U.S. Cellular Field, Home of the Chicago white Sox, The distance from home plate to the center field fence is 400 ft. and the height of the center field fence is 8 ft. If in this project, you assume that a batter always hits the ball 2 feet above the ground, then the angle of elevation rounded to the hundredths place, needed for a baseball to just clear the centerfield fence at US cellular Field is

How do you know that a ball hit 2 ft off the ground at US cellular field will need to leave the bat at an angle of 0.86° to just clear the 8 ft centerfield fence located 400 ft from home plate? The question can be answered using trigonometry, or more specifically, the tangent ratio and its inverse. Think about it.

Draw a triangle & label it, assuming you don't know the angle of elevation. Use the underlined facts to calculate an angle of elevation of 0.86 degrees.

Answers

Answer:

  0.86°

Step-by-step explanation:

The relations between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. It tells you the relation between an angle and its adjacent and opposite sides is ...

  Tan = Opposite/Adjacent

__

angle from the bat

The geometry described in the problem statement is modeled by the right triangle shown in the attachment. (The horizontal scale has been compressed.) The angle of interest has an adjacent side of 400 ft. Its opposite side is the additional elevation the ball must have to clear the fence (8 ft - 2 ft) = 6 ft.

For angle α, we have the relation ...

  tan(α) = (6 ft)/(400 ft) = 0.015

The inverse tangent function can be used to find the angle from its tangent:

  α = arctan(0.015) ≈ 0.859372°

The angle of elevation needs to be a minimum of 0.86°.

Point Q is on line segment PR . Given PQ=16 and PR=19, determine the length of QR

Answers

Answer:

QR = 3

Step-by-step explanation:

given that Q is on the segment PR , then

PQ + QR = PR ( substitute values )

16 + QR = 19 ( subtract 16 from both sides )

QR = 3

The calculated length of the segment QR is 3 units

How to determine the length of the segment QR

From the question, we have the following parameters that can be used in our computation:

Point Q is on line segment PR

PQ = 16 and PR = 19

using the above as a guide, we have the following:

PQ + QR = PR

substitute the known values in the above equation, so, we have the following representation

16 + QR = 19

So, we have

QR = 19 - 16

Evaluate

QR = 3

Hence. the length of the segment QR is 3

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Can somebody help me find the surface area

Answers

To calculate the area of the complex shape:

 ⇒ must separate the shape into simpler shape

2 rectangles with a length 9ft and a width 6ft1 rectangle with a length of 9 ft and a width 3ft2 triangles with a base of 3 ft and a height 5.4ft

Let's calculate:

2 rectangles with a length 9ft and a width 6ft

            [tex]Area = 9*6+9*6=54+54=108[/tex]

1 rectangle with a length of 9 ft and a width 3ft

             [tex]Area= 9*3=27[/tex]

2 triangles with a base of 3 ft and a height 5.4ft

             [tex]Area = \frac{1}{2}* 3*5.4+\frac{1}{2}* 3*5.4=8.1+8.1=16.2[/tex]

Total Area = [tex]108+27+16.2= 151.2[/tex]

Answer: 151.2 ft²

Hope that helps!

(THIS IS IMPORTANT!!! I NEED RIGHT NOW)
The table below shows the linear relationship between the number of weeks since birth and the weight of Samuel’s pet rabbit. Based on the table, what is the rate of change of the weight of the rabbit in pounds per week? Write your answer as a whole number or a decimal.

Answers

Based on the table, the rate of change of the weight of the rabbit in pounds per week will be 1.75 pounds.

How do explain the linear relationship?

In the first week, there's 9.5 pounds. This can be illustrated using the arithmetic progression. The formula will be:

= a + (n - 1)d

where,

a = first term

d = common difference

3rd term = a + 2d

13 = 9.5 + 2d

2d = 13 - 9.5

2d = 3.5

d = 3.5/2

d = 1.75

Therefore, the rate of change of the weight of the rabbit in pounds per week will be 1.75 pounds.

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1.
Solve the equation below.
a.
x = 1
x = -2
x = 3
x = -4
b.
C.
d.
2x + 3 = 5

Answers

Answer:

a) x = 1

Step-by-step explanation:

Given: 2x + 3 = 5

1. Subtract 3 from both sides:

2x + 3 - 3 = 5 - 3

⟹ 2x = 2

2. Divide both sides by 2:

2x ÷ 2 = 2 ÷ 2

x = 1

3. Check your work:

2(1) + 3 = 5

2 + 3 = 5

5 = 5 ✔

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i need help with this pls

Answers

Answer:

The answer is the first bullet. (number 1)

Will be marked the brainliest if correct

Answers

Answer:

6 is the answer

Hope that helps.
Let me know if im wrong :)

Step-by-step explanation:

find the value of y when x=3
y=10-3x

Answers

Answer:

y=1

Step-by-step explanation:

In order to solve this problem, you have to substitute 3 in for x. Then you would multiply 3 by 3, which equals 9. Subtract 9 from 10, equals 1.

I included a picture so you can see the work.

Hope this helped!

Answer: y = 1

Step-by-Step Explanation:

y = 10-3x , x = 3

=> y = 10 - 3x
= y = 10 - 3(3)
= y = 10 - 9
=> y = 1

Therefore, y = 1

Kapil's robot starts 70cm from its charging base. It faces the base, then turns 60 degrees clockwise, as shown. Finally, the robot moves 50cm. After moving, how far is the robot from the charging base? Do not round during your calculations. Round your final answer to the nearest centimeter.

Answers

The distance of the robot from the charging base is gotten as; 62 cm

How to use Cosine Rule?

From the image attached showing the movement of Kapil's robot, we can use cosine rule to find the value of h which is the distance of the robot from the charging base.

The distance of the robot from the charging base is gotten by;

h = x² + b² - 2xb cos 60

h = 50² + 70² - 2*50*70 * 0.5

h = 62 cm

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What is the recursive formula for this geometric sequence?
6, -24, 96, -384, ...

Answers

Answer: a1=6

               An = An-1 - 4

Step-by-step explanation:

N represent what number in the sequence you choose. So in the equation n-1 would be the umber in the equation subtracting 1 then subtracting the difference. The factor you are multiplying by in this sequence is -4. You find the difference by taking any number in the sequence and dividing it by the previous number in the sequence.

What is the axis of symmetry of h(x) = 5x2 40x 64?

Answers

The axis of symmetry of h(x) = 5x2 + 40x + 64 = -4

The formula for calculating the axis of symmetry is expressed as:

Axis of symmetry x = -b/2a

h(x) = 5x^2 + 40x + 64

a = 5 and b = 40


Where is the other endpoint located if the midpoint is at (0,-5) and one of the endpoints is (-3,-2)?

Answers

Answer:

3,-8

Step-by-step explanation:

x: from -3 to 0   is  +3    add +3 more     3

y: from -2 to -5 is   -3     add -3 more    -8

Part D
What is the difference of the earnings of movies C and D for that week?

Answers

The difference of the earnings of movies C and D for that week is $10,652,270.46 .

What is the difference in earnings?

Subtraction is used to determine the difference between two or more numbers.

The difference = earnings of movie D - earnings of movie C

$34.311,887.98 - 23,659,617.52 = $10,652,270.46

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