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kirill115 [55]
2 years ago
14

What is an equation of the line that passes through the points (4, -2) and (6, 1)?

Mathematics
1 answer:
tresset_1 [31]2 years ago
6 0

Answer:

y=\frac{3}{2}x - 8

Step-by-step explanation:

We are given that a line contains the points (4, -2) and (6, 1)

We want to write the equation of the line that contains these points

There are a couple of ways to write the equation of the line, but the most common way is slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

First, we need to find the slope of the line

The slope (m) can be calculated using the formula \frac{y_2- y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

Let's first label the values of the points to avoid any confusion and mistakes before calculating:

x_1 =4\\y_1=-2\\x_2=6\\y_2=1

Now substitute into the formula

m=\frac{y_2- y_1}{x_2-x_1}

m=\frac{1--2}{6-4}

m=\frac{1+2}{6-4}

Simplify

m=\frac{3}{2}

The slope is 3/2

We can substitute this as m in our line.
Here is our line so far:

y = 3/2x + b

Now we need to solve for b

As the line passes through both (4, -2) and (6, 1), we can use either one of them to help solve for b.

Taking (4, -2) for example:

-2 = 3/2(4) + b

Multiply

-2 = 6 + b

Subtract 6 from both sides

-8 = b

Substitute into the equation

y = 3/2x - 8

Topic: finding the equation of the line

See more: brainly.com/question/27726732

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KengaRu [80]

1. 1 5/8 / -1 3/5 = -25/24 = -1 1/24

2. -5 1/3 / 2 3/4 = 10/9 = -1 1/9

6 0
3 years ago
At a football game, 65% of people attending were supporting the home team, while 35% were supporting the visiting team. If 1300
Misha Larkins [42]

Answer: 2000

Step-by-step explanation:

At a football game, 65% of people that will attend are supporting the home team, while 35% are supporting the visiting team. 1300 people that attended supported the home team.

To get the total number of people that attended the game, we have to find the number of away supporters as well.

Let the number of people that attended the game be y.

Therefore 65% of y = 1300

65/100 × y = 1300

0.65 × y = 1300

0.65y = 1300

Divide both side by 0.65

0.65y/0.65 = 1300/0.65

y = 2000

The total number of people attending the game is 2000.

8 0
3 years ago
Select the correct answer. (Remember there will be a length, width and height and they are all different numbers).
Bogdan [553]
A) 122 in^2, this is because 3 x 7 x 2= 42, 4 x 7 x 2= 56, 3 x 4 x 2= 24, once you add up all the sums it equals 122
3 0
3 years ago
Read 2 more answers
Simplify using the order of operations. (2 + 1) 3 ÷ 32 = 1 3 9 2
puteri [66]

Answer: I believe the answer is 0.1875. Must be a typo here, because...

Step-by-step explanation: parentheses first. (2+1)3%32=

After parentheses are taken out. 3x3%32= No exponents, so multiply or divide, whatever comes first.

6%32 is 0.1875

5 0
3 years ago
Raju bought seven notebooks of two hundred pages and five of hundred pages, for 107 rupees. Joseph bought five notebooks of two
olga nikolaevna [1]

Answer:

Large books = 11

Small books = 6

Step-by-step explanation:

7x + 5y = 107

7x = 107 - 5y

x = 107/7 - 5y/7

5x + 7y = 97

5 (107/7 - 5y/7) + 7y = 97

535/7 - 25y/7 + 7y = 97

535/7 + 24y/7 = 97

535 + 24y = 679

24y = 679 - 535

y = 144/24 = 6: So x =

7x + 5(6) = 107

7x = 107-30

x = 77-7 = 11

8 0
3 years ago
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