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balu736 [363]
3 years ago
15

Find the equation of the line passing through the points 7,2 and 9,1

Mathematics
1 answer:
bija089 [108]3 years ago
5 0

9514 1404 393

Answer:

  y = -1/2x +11/2

Step-by-step explanation:

The slope of the line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -2)/(9 -7) = -1/2

The y-intercept is ...

  b = y -mx

  b = 2 -(-1/2)(7) = 11/2

Then the slope-intercept equation is ...

  y = -1/2x +11/2

_____

<em>Alternative solution</em>

A general form equation for the line can be ...

  (y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0

  (2 -1)(x -7) -(7 -9)(y -2) = 0

  x-7 +2y -4 = 0

  x +2y -11 = 0 . . . . . general form equation

  x +2y = 11 . . . . . . . standard form equation

Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
What is the end behavior for f (x) = -3x4
Xelga [282]

Answer:

Step-by-step explanation:

If m is odd, that means the graph crosses the x-axis at x=a, if m is even, that means the graph touches the x-axis at x=a. x = a . The end-behavior of a polynomial function is given by the dominant term, anxn, a n x n , limx→±∞f(x)=limx→±∞anxn. lim x → ± ∞ f ( x ) = lim x → ± ∞ a n x n .  HERE HOPE THIS WORK.

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I need help please! ​
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Answer/Step-by-step explanation:

Area of trapezium = ½*(AD + BC)*AB

Area = 42 cm²

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BC = (x + 5) cm

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3 years ago
3x + 9 + 4x + x = inf many solutions
diamong [38]
No it just equals 8x+9
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