Which of the following is an equation of line l in the xy plane above?
Correct answer: D. 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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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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