1
algebra

Identify the slope and y-intercept of the line y=3x+7y = -3x + 7.

A

Slope: 3-3, y-intercept: 77

B

Slope: 77, y-intercept: 3-3

C

Slope: 33, y-intercept: 77

D

Slope: 3-3, y-intercept: 7-7

Correct Answer: A

Choice A is the correct answer. In the slope-intercept form y=mx+by = mx + b, mm is the slope and bb is the y-intercept.

  1. Identify: Compare y=3x+7y = -3x + 7 with y=mx+by = mx + b.
  2. Match: The coefficient of xx is 3-3, so m=3m = -3. The constant term is 77, so b=7b = 7.

💡 Strategic Tip: The number attached to xx is always the slope (rate of change), and the lonely number is the y-intercept (starting value).

Choice B is incorrect because it swaps the slope and y-intercept. Choice C is incorrect because it ignores the negative sign of the slope. Choice D is incorrect because it changes the sign of the y-intercept.