Which of the following is an equation of line l in the xy plane above?

Correct answer: C. x+y=-4

  • A. x-y=-4
  • B. x-y=4
  • C. x+y=-4
  • D. x+y=4

Explanation

The equation x+y=-4 is correct because it matches the required slope and y-intercept of line l. Rearranging the equation yields y=-x-4, indicating a slope of -1 and a y-intercept of -4. The other options represent lines with incorrect slopes or y-intercepts, making them unsuitable for describing line l in the figure.

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