3
algebra

Which equation represents a line that passes through the origin and has a slope of -1?

A

y=−xy = -x

B

y=xy = x

C

y=−x+1y = -x + 1

D

y=−1y = -1

Correct Answer: A

Choice A is the correct answer. Origin means intercept is 0.

  1. Intercept: Origin →b=0\rightarrow b = 0.
  2. Slope: m=−1m = -1.
  3. Equation: y=−1x+0→y=−xy = -1x + 0 \rightarrow y = -x.

💡 Strategic Tip: The line y=−xy=-x is the standard diagonal line sloping downwards.

Choice B is incorrect because slope is positive. Choice C is incorrect because it doesn't pass through origin. Choice D is incorrect because it is a horizontal line.

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Linear Functions Set 84