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lesya [120]
2 years ago
10

What is the equation of the line that passes through the points (5,3) and (9,-13)?

Mathematics
1 answer:
vekshin12 years ago
6 0

The equation of the line that passes through the given points is            y= -4x+23.

<h3>Linear Function</h3>

A line can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:

a= the slope

b=constant term that represents the y-intercept.

From the stardard form equation:

  • For point (5,3) : 3=5a+b ( equation 1)
  • For point (9,-13) : -13=9a+b (equation 2)

Solving the system for equations 1 and 2.

3=5a+b

-13=9a+b * (-1)

3=5a+b

13=-9a-b * (-1)

16= -4a

4= -a

a= -4

If a= -4 from equation 1, you have

3= 5 * (-4)+b

3= -20+b

b=23

Therefore, the line equation is y= -4x+23.

Read more about the system linear equations here:

brainly.com/question/12691830

#SPJ1

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Louisa savings change - $9 each time she goes bowling. In all, it changed by -99 during the summer. How many times did she go bo
Sidana [21]
Well, if you do 99/9 that equals 11, therefor she has gone 11 times.
7 0
3 years ago
Read 2 more answers
A man bought a refrigerator, an air conditioner, a TV set and a gas cooker for $150.00, $400.00, $180.00 and $300.00 respectivel
MaRussiya [10]

Answer:

1184.5

Step-by-step explanation:

150+400+180+300=1030

1030 × 15% = 154.5

(15% is also 0.15)

1030 + 154.5 = 1184.5

I hope this helps you :)

4 0
3 years ago
There are 8 teachers and 4 students how many people are there total?
Elina [12.6K]

Answer:

12 people

Step-by-step explanation:

We have to take to total amount of teachers, which is 8 and add the total amount of students, which there are 4 of. 8+4 is 12, so there are 12 people in total.

5 0
3 years ago
Given a 5 liter jar and a 3 liter jar and a unlimited supply of water, how do you measure out 4 liter exactly
andre [41]

Answer:

Given:

5 liter Jar

3 liter jar

Unlimited supply of water.

To measure out 4 liters exactly.

Steps to be carries out to measure out 4 liters of water exactly.

Water content: 3 liter jar = Empty , 5 liter jar = Empty

1) Fill the 3 liter jar completely with water.

3 liter jar = 3 liter , 5 liter jar = Empty

2) Empty the filled 3 liter jar of water by pouring it out into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 3 liter

3) Again fill the empty 3 liter jar completely.

Water content: 3 liter jar = 3 liter , 5 liter jar = 3 liter

4) Pour water from 3 liter jar into 5 liter jar until it is completely filled.

Water content: 3 liter jar = 1 liter , 5 liter jar = 5 liter

5)  Empty the 5 liter jar completely.

Water content: 3 liter jar = 1 liter , 5 liter jar = Empty

6) Empty the 3 liter jar by pouring the water into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 1 liter

7) Fill the 3 liter jar completely with water.

Water content: 3 liter jar = 3 liter , 5 liter jar = 1 liter

8) Empty the 3 liter jar by pouring it into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 4 liter

Now, we have exactly 4 liters of water in the 5 liter jar.

7 0
3 years ago
Whats 15-b=4b-5(5-3)
Gala2k [10]

15-b=4b-5(5-3)

Multiply the bracket by -5

(-5)(5)=-25

(-5)(-3)=15

15-b=4b-25+15

15-b=4b-10

Move 15 to the other side

Sign changes from +15 to -15

15-15-b=4b-10-15

-b=4b-25

Move 4b to the other side.

-b-4b=4b-4b-25

-b-4b=-25

-5b=-25

divide both sides by -5

-5b/-5=-25/-5

Answer: b=5

5 0
3 years ago
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