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tigry1 [53]
3 years ago
12

What is an equation of the line that passes through the points (6,8) and (-3,2)?

Mathematics
2 answers:
Elza [17]3 years ago
6 0
1. Use the slope formula
(6, 8) where x1 = 6 and y1 = 8
(-3, 2) where x2 = -3 and y2 = 2
Slope (m) = (y2-y1) / (x2-x1)
= (2-8) / (-3-6)
= -6 / -9
= 2/3

2. Use point-slope formula
y-y1=m(x-x1)
y-8=2/3(x-6)
y-8=2/3x -4

y = 2/3x + 4 :)
Orlov [11]3 years ago
4 0

Answer:

y=2/3x+4

Step-by-step explanation:

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1. Write a number whose square is between 200 and 300.
Nadya [2.5K]
15

Square root of 200 = 14.14
Square root of 300 = 17.32

15^2 = 225
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3 years ago
Which list shows the set of integers? Select one: a. ..., -3 , -2 , -1 , 0 b. 1, 2, 3, ... c. ..., -3 ,-2 , -1 , 0 , 1 , 2 , 3 ,
PSYCHO15rus [73]

Hey love! <3

Answer:

C. ..., -3 ,-2 , -1 , 0 , 1 , 2 , 3 , ...

Step-by-step explanation:

<em>Integers are inclusive of all numbers that are not a fraction, including negative numbers. The other sets would not be integers because all they have are whole and natural numbers.</em>

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4 0
2 years ago
Write a function to represent the set of ordered pairs. {(2, 6), (3, 21), (4, 42), (5, 69)} a) f(x) = 3x b) f(x) = x + 4 c) f(x)
Ugo [173]

We are given order pairs : (2, 6), (3, 21), (4, 42), (5, 69)

The correct option is  D) f(x) = 3x^2 - 6.

If we plug x=2 we get

f(2) = 3(2)^2 - 6 = 3(4) -6 = 12-6 =6.   Represents (2,6)

If we plug x=3 we get

f(3) = 3(3)^2 - 6 = 3(9) -6 = 27-6 =21    Represents (4,21)

If we plug x=4 we get

f(4) = 3(4)^2 - 6 = 3(16) -6 = 48-6 =42.    Represents (4,42)

If we plug x=5 we get

f(5) = 3(5)^2 - 6 = 3(25) -6 = 75-6 =69.   Represents (5,69)

Therefore, D ) f(x) = 3x^2 - 6 is our correct option.


3 0
3 years ago
2 7/8 + 6 1/6 =?plzz i need help!
ella [17]
6 8/48 and 2 7/48 equal 8 15/48
7 0
3 years ago
You invested $11,000 in two accounts paying 3% and 7% annual interest, respectively. If the total interest earned for the year w
Trava [24]

Answer:

I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Step-by-step explanation:

Given that I invested $ 11,000 in two accounts paying 3% and 7% annual interest, respectively, if the total interest earned for the year was $ 730, to determine how much was invested at each rate, the following calculation must be performed:

5,000 x 0.07 + 6,000 x 0.03 = 530

8,000 x 0.07 + 3,000 x 0.03 = 650

10,000 x 0.07 + 1,000 x 0.03 = 730

Therefore, I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

6 0
2 years ago
Read 2 more answers
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