7
algebra

Identify the y-intercept of the line 3x+4y=123x + 4y = 12.

A

33

B

44

C

3-3

D

1212

Correct Answer: A

Choice A is the correct answer. Set x=0x=0 to find the y-intercept.

  1. Method: The y-intercept occurs where x=0x = 0.
  2. Substitute: 3(0)+4y=124y=123(0) + 4y = 12 \rightarrow 4y = 12.
  3. Solve: y=3y = 3.

💡 Strategic Tip: You can also convert to slope-intercept form (y=34x+3y = -\frac{3}{4}x + 3), but setting x=0x=0 is faster.

Choice B is incorrect because it's the coefficient of y. Choice C is incorrect because it's the wrong sign. Choice D is incorrect because it's the constant term before dividing.