10
algebra

Compare the y-intercepts of f(x)=3x+4f(x) = 3x + 4 and the line passing through (0,2)(0, 2) and (5,12)(5, 12).

A

f(x)f(x) is higher by 2

B

The line is higher by 2

C

They are equal

D

f(x)f(x) is higher by 4

Correct Answer: A

Choice A is the correct answer. Find intercepts.

  1. f(x): Intercept is 4.
  2. Line: Passes through (0,2)(0, 2), so intercept is 2.
  3. Compare: 42=24 - 2 = 2. f(x)f(x) is higher by 2.

💡 Strategic Tip: Look for (0,y)(0, y) to spot the intercept instantly.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.