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Answer:

slope = -1

Step-by-step explanation:

When you put the equation into slope-intercept form (y=mx+b), where m is the slope of the line, you can see that -1 is the slope.

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The slope of the line represented by the given equation is -1.

Given the following equation:

  • [tex]y =7 - x[/tex]    ...equation 1.

To determine the slope of the line represented by the given equation:

Mathematically, the standard form of an equation of line is given by the formula;

[tex]y=mx+b[/tex]   ....equation 2.

Where:

  • x and y are the points.
  • m is the slope.
  • b is the intercept.

Equating the two equations, we have:

[tex]y = mx+b = 7-x[/tex]

Comparing eqn 1 and eqn 2, we can deduce that the slope is -1.

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