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goldenfox [79]
2 years ago
15

Complete the equation for the horizontal line that passes through (5 -7)

Mathematics
1 answer:
professor190 [17]2 years ago
7 0

Answer:

The equation of the horizontal line that passes through (5 , -7) is y = -7

Step-by-step explanation:

The equation of any in the slope-intercept form is y = mx + c, where

1. m is the slope of the line

2. c is the y-intercept

3. The slope of a horizontal line is zero

4. The vertical line has no slope

If the line is horizontal that means all the y-coordinates of the points lie

on the line are equal

Ex: If a horizontal line passes through point (2 , -1), then the equation

     of the line is y = -1

If the line is vertical that means all the x-coordinates of the points lie

on the line are equal

Ex: If a vertical line passes through point (3 , 2), then the equation

     of the line is x = 3

∵ The horizontal line passes through point (5 , -7)

∴ The equation of the line is y = -7

The equation of the horizontal line that passes through (5 , -7) is

y = -7

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If the 13th and 38th terms of an arithmetic sequence are -53 and -128,
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Answer:

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Step-by-step explanation:

The n-th term is ...

  an = a1 +d(n -1)

So, the given terms are ...

  -53 = a1 +12d

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Subtracting the first from the second gives ...

  (a1 +37d) -(a1 +12d) = (-128) -(-53)

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The 668th term will be ...

  a668 = a1 +d(668 -1) = a1 +667d = (a1 +37d) +630d

  a668 = -128 +630(-3) = -128 -1890 . . . . substitute for a38

  a668 = -2018

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