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Aleonysh [2.5K]
2 years ago
12

Write an equation of the line that passes through the points (1,-4) and (2,-1).

Mathematics
1 answer:
Anastaziya [24]2 years ago
8 0

Answer:

  y = 3x -7

Step-by-step explanation:

The 2-point form of the equation of a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-1 -(-4))/(2 -1)(x -1) -4

  y = 3(x -1) -4

  y = 3x -7

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Can someone explain the steps to solve number two?
Vlada [557]
Ok so first you would create a proportion.
8/x=4/1. Next you cross multiply and divide,
1 • 8÷4=x. Ratios are fractions with the first number being the numerator and the second being the denominator. If you think of it this way, you just find an equivalent fraction. Your answer would be 8:2 because in your proportion x=2.
7 0
3 years ago
When I add a number to another number four times as big, the result is 30. find the first number
Alex73 [517]

Answer:

x = 6

Step-by-step explanation:

Let x = first number

x+4x = 30

5x = 30

Divide by 5

5x/5 =30/5

x = 6

3 0
3 years ago
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The weight of meteorite A is 5 times the weight of meteorite B. If the sum of their weights is 132 tons, find the weight of each
sladkih [1.3K]

Answer:

A: 105.6 B: 26.40

Step-by-step explanation:

if you divide 132 by 5, you get Meteorite B, 26.40, then minus that from 132, and you get Meteorite A, 105.6.

To check, do 26.40x5 and you should get 132.

3 0
3 years ago
I need help writing the first 5 terms of the sequence!
Angelina_Jolie [31]

The first five terms of the sequence are 1, 4, 7, 10, 13.

Solution:

Given data:

a_{1}=1

a_{n}=a_{n-1}+3

General term of the arithmetic sequence.

a_{n}=a_{n-1}+d, where d is the common difference.

d = 3

a_{n}=a_{n-1}+3

Put n = 2 in a_{n}=a_{n-1}+3, we get

a_{2}=a_1+3

a_{2}=1+3

a_2=4

Put n = 3 in a_{n}=a_{n-1}+3, we get

a_{3}=a_2+3

a_{3}=4+3

a_3=7

Put n = 4 in a_{n}=a_{n-1}+3, we get

a_{4}=a_3+3

a_{4}=7+3

a_4=10

Put n = 5 in a_{n}=a_{n-1}+3, we get

a_{5}=a_4+3

a_{5}=10+3

a_5=13

The first five terms of the sequence are 1, 4, 7, 10, 13.

3 0
3 years ago
Two wrongs and One right: vertical angles. Please help only 2-3 questions
luda_lava [24]

Answer:

Solution one is correct and solution 2 and 3 are incorrect

Step-by-step explanation:

You simply make an equation because for vertical angles 2 angles that are across from each other have the same value (in this case 2x+30 and 5x-36.)

The equation: 2x+30=5x-36---->3x=66----> x=22

Solution 1 is correct.

Hope this helped!

3 0
3 years ago
Read 2 more answers
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