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Alex73 [517]
4 years ago
10

WILL GIVE BRAINLIEST, WORTH 30 POINTS!!

Mathematics
2 answers:
dybincka [34]4 years ago
7 0

Answer:

The answer is -x + 3y = 12

Step-by-step explanation:


yanalaym [24]4 years ago
5 0

We know that if two lines are Parallel then both the lines have same Slope.

Given : Equation of 1st Parallel line is -x + 3y = 6

this can be written as :

3y = x + 6

y = x/3 + 2

Comparing with standard form : y = mx + c

we can notice that slope = 1/3

We know that the form of line passing through point (x₀ , y₀) and having slope m is :

y - y₀ = m(x - x₀)

Here the 2nd Parallel line passes through the point (3 , 5)

x₀ = 3 and y₀ = 5 and we found m = 1/3

⇒ y - 5 = 1/3(x - 3)

⇒ 3y - 15 = x - 3

⇒ -x + 3y = 12

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Parallel lines are those on a plane that do not intersect while perpendicular lines are those that intersect at an angle of 90°.

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Parallel lines will never intersect with each other and will maintain the same distance from each other for as long as they are on the same plane.

Perpendicular lines on the other hand will intersect each other and will do so at a 90° angle. An example of such a line is the steps on a ladder which intersect the beam at a 90° angle.

Find out more on parallel lines at brainly.com/question/24607467.

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<u>FM</u>

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