1
advanced-math

Find the y-intercept of y=x25x+6y = x^2 - 5x + 6.

A

(0,6)(0, 6)

B

(0,6)(0, -6)

C

(6,0)(6, 0)

D

(0,5)(0, 5)

Correct Answer: A

Choice A is the correct answer. The y-intercept is the point where the graph crosses the y-axis, which happens when x=0x = 0.

  1. Substitute x=0x=0 into the equation: y=025(0)+6y = 0^2 - 5(0) + 6.
  2. Simplify: y=6y = 6.
  3. The point is (0,6)(0, 6).

Choice B is incorrect because of a sign error. Choice C is incorrect because it swaps x and y (this would be an x-intercept). Choice D is incorrect because it uses the coefficient bb.