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icang [17]
2 years ago
11

Which equation represents a line that has a slope of 1/3 and passes through point (-2, 1)?

Mathematics
1 answer:
Lorico [155]2 years ago
8 0

Considering the definition of a line, the equation of the line that passes through the point (-2, 1) and has a slope of 1/3 is y= 1/3x + 5/3.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Line in this case</h3>

In this case, you know:

  • The line has a slope of 1/3.
  • The line passes through the point (-2, 1).

Substituting the value of the slope m, you get:

<u><em>y= 1/3x + b</em></u>

Replacing the value of the point in previous expression, the value of the ordinate to the origin b can be obtained:

1= 1/3× (-2) + b

1= - 2/3 + b

1 + 2/3= b

<u><em>5/3= b</em></u>

Finally, the equation of the line is y= 1/3x + 5/3.

Learn more about equation of a line:

brainly.com/question/20842634

#SPJ1

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How close are a meter and a yard? convert 1 meter into yards by using the fact
Serggg [28]
1 meter= 100cm

2.53cm=1 inch

12 inches= 1 foot

3 feet= 1 yard

2.53*12*3=91.08

1 yard=91.08cm
1 meter=100cm

1 meter is 8.92cm longer than 1 yard

I hope this helps, if you need more elaboration, just ask
6 0
4 years ago
The length of a rectangular park is 20 feet longer than the width of the park. If the length of the park is 36 feet, what is the
arlik [135]
I hope this helps you


width =w


length = w+20


length =36


w+20=36


w=16 width
5 0
3 years ago
Read 2 more answers
What's the answer ? I been having trouble finding the answer
Fiesta28 [93]
What's the answer to what?
5 0
3 years ago
The shorter leg of a right triangle is 21 feet less than the other leg. Find the length of the two legs if the hypotenuse is 39
mina [271]

Answer:

leg 1= 36  feet

leg2 = 15  feet

Step-by-step explanation:

Hi, we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.  

leg1 = x

leg2 = x-21 (21 feet less than the other leg)

Replacing with the values given:  

39^2 = x^2 + (x-21)^2  

1,521 = x^2 + x^2 -42x +441

0 = 2x^2 -42x +441-1,521

0= 2x^2 -42x -1,080

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  (quadratic formula)

Replacing with the values given:  

x=-(-42)± √(-42)²-4(2)-1080] /2(2)  

x= 42± √10,404] /4

x = 42± 102 /4

Positive:

x = 42+102 /4 = 36

leg 1= 36

leg2 = 36-21 =15

Feel free to ask for more if needed or if you did not understand something.  

6 0
3 years ago
GUYS PLEASE HELP DUE SOONNN
jek_recluse [69]

Answer: -1 1/2 to -1: -1 1/3 and -5/4

-1 to -1/2: -2/3, -3/4, -6/7, -5/6

-1/2 to 0: -1/3 and -3/8

0 to 1/2: 1/5, 1/10, 3/12, 3/8, 3/7, 1/3

1/2 to 1: 4/5, 6/10, 7/8, 7/9, 3/4, 8/10

1 to 1 1/2: 1 5/12, 9/8

Step-by-step explanation:

4 0
3 years ago
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