3
algebra

Find the slope of the line 5xy=105x - y = 10.

A

55

B

5-5

C

15\frac{1}{5}

D

1010

Correct Answer: A

Choice A is the correct answer. Isolate yy.

  1. Subtract 5x: y=5x+10-y = -5x + 10.
  2. Multiply by -1: y=5x10y = 5x - 10.
  3. Slope: 55.

💡 Strategic Tip: Slope m=A/B=5/(1)=5m = -A/B = -5/(-1) = 5.

Choice B is incorrect because sign error. Choice C is incorrect because reciprocal error. Choice D is incorrect because intercept error.