7
algebra

Convert y2=13(x6)y - 2 = \frac{1}{3}(x - 6) to slope-intercept form.

A

y=13xy = \frac{1}{3}x

B

y=13x4y = \frac{1}{3}x - 4

C

y=13x+4y = \frac{1}{3}x + 4

D

y=13x2y = \frac{1}{3}x - 2

Correct Answer: A

Choice A is the correct answer. Distribute and simplify.

  1. Distribute: y2=13x2y - 2 = \frac{1}{3}x - 2.
  2. Add 2: y=13x2+2y = \frac{1}{3}x - 2 + 2.
  3. Result: y=13xy = \frac{1}{3}x.

💡 Strategic Tip: If the constant terms cancel out, the line passes through the origin.

Choice B is incorrect because calculation error. Choice C is incorrect because calculation error. Choice D is incorrect because forgot to add 2.