6
algebra

Which equation represents a line with a slope of 12\frac{1}{2} and a y-intercept of 4-4?

A

y=12x4y = \frac{1}{2}x - 4

B

y=4x+12y = -4x + \frac{1}{2}

C

y=2x4y = 2x - 4

D

y=12x+4y = \frac{1}{2}x + 4

Correct Answer: A

Choice A is the correct answer. Substitute mm and bb into y=mx+by = mx + b.

  1. Given: m=12m = \frac{1}{2}, b=4b = -4.
  2. Substitute: y=(12)x+(4)y = (\frac{1}{2})x + (-4).
  3. Simplify: y=12x4y = \frac{1}{2}x - 4.

💡 Strategic Tip: Direct substitution into the slope-intercept form is the fastest way to write the equation.

Choice B is incorrect because it swaps the slope and y-intercept. Choice C is incorrect because it uses the reciprocal of the slope. Choice D is incorrect because it has the wrong sign for the y-intercept.