2
algebra

Convert the equation y3=2(x+1)y - 3 = 2(x + 1) to slope-intercept form.

A

y=2x+5y = 2x + 5

B

y=2x1y = 2x - 1

C

y=2x+2y = 2x + 2

D

y=2x3y = 2x - 3

Correct Answer: A

Choice A is the correct answer. Distribute and isolate yy.

  1. Distribute: y3=2x+2y - 3 = 2x + 2.
  2. Add 3: y=2x+2+3y = 2x + 2 + 3.
  3. Result: y=2x+5y = 2x + 5.

💡 Strategic Tip: Point-slope form is great for writing equations; slope-intercept is great for graphing.

Choice B is incorrect because it subtracts 3 instead of adding. Choice C is incorrect because it forgets to add 3. Choice D is incorrect because it ignores the distribution.