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mr_godi [17]
3 years ago
7

Find the equation for the line that passes through -1,-2 and 4,3. Is the point 3,1 on the line

Mathematics
1 answer:
DaniilM [7]3 years ago
3 0

Answer:

  • y = x -1
  • no

Step-by-step explanation:

A graph quickly answers this question.

__

The given points have a horizontal difference of 4-(-1) = 5 and a vertical difference of 3-(-2) = 5, so the slope of the line between them is ...

  m = Δy/Δx = 5/5 = 1

The point-slope form of the equation for a line can be written ...

  y = m(x -h) +k . . . . . for slope m through point (h, k)

Using the first point and the slope we found, we can write the equation as ...

  y = 1(x -(-1)) +(-2)

  y = x -1 . . . . . . . . . simplify; this is the equation of the line

__

When we try the third point in this equation, we get ...

 y = 3 -1 = 2 ≠ 1 . . . . . the third point is not on the line

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27a + 1/3 * b = 4

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wind resistance varies jointly as an objects surface area and velocity. if an object traveling at 55 miles per hour with a surfa
nikdorinn [45]

Answer:

25 miles per hour

Step-by-step explanation:

Given

W = Wind\ resistance

A = Surface\ Area

V = Velocity

The joint variation can be represented as:

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V = 55; A = 20; W = 220

Required

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We have:

W\ \alpha\ A*V

Express as an equation

W= k *A*V

Where k is the constant of variation

Make k the subject

k = \frac{W}{A*V}

When: V = 55; A = 20; W = 220

We have:

k = \frac{220}{20 *55 }

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We have:

k = \frac{W}{A*V}

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