5
algebra

A line has slope kk and x-intercept kk. What is its y-intercept?

A

k2-k^2

B

k2k^2

C

kk

D

k-k

Correct Answer: A

Choice A is the correct answer. Use point-slope.

  1. Point: (k,0)(k, 0).
  2. Slope: kk.
  3. Equation: y0=k(xk)y=kxk2y - 0 = k(x - k) \rightarrow y = kx - k^2.
  4. Y-intercept: The constant term is k2-k^2.

💡 Strategic Tip: Substitute x=0x=0 into the equation.

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