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liraira [26]
3 years ago
6

What is the equation of the line that passes through (-1, 5) and (3, -7)?

Mathematics
1 answer:
enyata [817]3 years ago
3 0

Answer:

3x + y = 2

Step-by-step explanation:

y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)

y - 5 = \dfrac{-7 - 5}{3 - (-1)}(x - (-1))

y - 5 = \dfrac{-12}{4}(x + 1)

y - 5 = -3(x + 1)

y - 5 = -3x - 3

3x + y = 2

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To reach a vacation spot, the Jones family first traveled by plane and then drove the
navik [9.2K]

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

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The distance by car was 125 kilometers less than the  distance by plane.

y = x - 125    => x=y+125  Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500   Eqn 2

Putting value of x from Eqn 1;

(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625

Putting y=625 in Eqn 1

x=625+125\\x=750

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/10435816
  • brainly.com/question/10435836

#LearnwithBrainly

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