MATHEMATICS HIGH SCHOOL

What is the equation of the line that passes
through the points (3,-1) and (7, 3)?

Answers

Answer 1
Answer:

Answer: y = 1x + -4

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m = y2-y1 /x2-x1

m = 3--1 /7-3

m = 4/4

m = 1

Now putting value of m in equation (i)

y = 1x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (3,-1) for calculating y-intercept:

y = mx + b

-1 = 1(3) + b

-1 = 3 + b

-4 = b

b = -4

Now putting value of b in equation (ii)

y = 1x + -4

Related Questions

The figure below is a regular octagon with a side length of 8 inches.8 inchesTo the nearest square inch, what is the area of the figure?3091186449
What is 800 divided by 8?
Help nott sure if im right
20,612,439 scientific notation
The Wilsons have triplets and another child who is fifteen years old. The sum of the ages of their children is 36. How old are the triplets?

Joshua does not want to spend more than $22 on a long-sleeve shirt. Which description of shirt prices would keep joshua within his spending limit, not including tax? Select all that apply a- 15% off %25 b- 30% off 32% c-19.65 plus 2.35 shipping fee d- 20.45 plus a $1.60 shipping fee

Answers

Answer:

the answer is C

Step-by-step explanation:

19.65 + 2.35 is exactly 22, not including tax

Answer:

A and C

Step-by-step explanation:

A. 15% off $25

15% = 0.15

0.15 x 25 = 3.75

25 - 3.75 = 21.25

22 or under? Yes

B. 30% off $32

30% = 0.30

0.30 x 32 = 9.60

32 - 9.60 = 22.40

22 or under? No

C. $19.65 plus a 2.35 shipping fee

19.65 + 2.35 = 22

22 or under? Yes

D. $20.45 plus a $1.60 shipping fee

20.45 + 1.60 = 22.05

22 or under? No

Even though this is late, the other answer did not mention A being the answer as well so I hope this helped!

Madison wants to buy a car for $9000. She will borrow money and repay the total in 3 years. The required monthly payment on her credit card would be $300. The monthly payment for a personal loan would be $278. How much money would Madison save if she chose the personal loan instead of the credit card?

Answers

Madison would save $264 if she chose the personal loan

A place from this table is chosen at random. let event A= the place is a city

Answers

Answer:

5/7 is the correct answer

Step-by-step explanation:

The probability of the place is at city are:

The total probability of the place is at city / The total possible outcomes

= 5 / 7

Hope this help you :3

Answer:

There are 7 places shown in the table which are , →{Rome, Tokyo, Houston, Peru, Miami, Toronto, Canada}

Out of which 5 are cities.

City={Rome, Tokyo, Houston,Miami, Toronto,}=5

It is given that a,place from the city is chosen.

Probability of an Event

           =\frac{\text{Total Favorable event}}{\text{Total possible outcome}}          

Probability of selecting a city from 7 places in which 5 are cities

         P(A)=\frac{_(1)^(5)\textrm{C}}{_(1)^(7)\textrm{C}}\n\nP(A)=(5)/(7)\n\nP(A^c)=1-P(A)\n\n=1-(5)/(7)\n\n=(2)/(7)    

Option B             

The local parts shop buys a machine that costs $500,000. Its value depreciates exponentially each year by 10%. What is the machine’s value after 5 years? Round your answer to the nearest integer

Answers

When compounding you must use:
Original price x percentage^years
So..
500,000 x 0.9^5
= $295245 is the value after 5 years.

The equation of a circle is (x+10)^2+(y-4)^2=100 What is the center and radius of the circle.
1.) Center-10,4); Radius: 10
2.) Center: (-10,4); Radius: 10,000
3.) Center10,-4);Radius: 10
4.) Center10,-4);Radius: 10,000

Answers

Answer:

Correct option is:

1.) Center: (-10,4); Radius: 10

Step-by-step explanation:

The equation of the circle centered at (a,b) and radius r is:

(x-a)^2+(y-b)^2=r^2

Here, we are given a equation:

(x+10)^2+(y-4)^2=100

On comparing this equation with the above equation, we get

a= -10

b=4

and r=10

Hence, Center of circle= (-10,4)

and Radius=10

Hence, Correct option is:

1.) Center: (-10,4); Radius: 10
Hello,

Answer 1
Center=(-10,4)
radius=10

If x-3 is 4 more than w, then x is how much more than w?

Answers

Well, what I do is actually substitute in numbers. So what I did was x= 3 and made then did the subtraction. Afterwards I got x = 0. Since x= w+4 you would want to subtract four to get the distance. Afterwards you get 3 (x) is ? than w= - 4 and thats 7 (7 is the answer)

Answer:

definitely 7

Step-by-step explanation:
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Write the following proportion using colons. 7 is to 21 as 3 is to 9.a. 7:21 = 3:9 b. 7:3 = 21:9 c. 21:7 = 3:9 d. 7:21 = 9:3