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16

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27
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21. A line with a slope of -0.2 passes through the point (11, 5). Select Numbers to complete the equation of the line in point-slope form.

y - [__a__] = [__b__] (x - [__c__] )
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-0.2 0 5 11
Box a
Box b
Box c
Box a
Box b
Box c
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1 answer

To complete the equation of a line in point-slope form, you use the formula:

\[ y - y_1 = m(x - x_1) \]

where \( m \) is the slope of the line, and \( (x_1, y_1) \) is a point on the line.

Given that the slope \( m = -0.2 \) and the point is \( (11, 5) \):

  • \( x_1 = 11 \)
  • \( y_1 = 5 \)

We can now fill in the blanks:

  • Box a (y-coordinate, \( y_1 \)): 5
  • Box b (slope, \( m \)): -0.2
  • Box c (x-coordinate, \( x_1 \)): 11

So the completed equation in point-slope form is:

\[ y - 5 = -0.2(x - 11) \]

Thus:

  • Box a: 5
  • Box b: -0.2
  • Box c: 11