10
algebra

Find the x-intercept of the line passing through (2,4)(2, 4) and (4,8)(4, 8).

A

00

B

22

C

−2-2

D

44

Correct Answer: A

Choice A is the correct answer. Find equation first.

  1. Slope: 8−44−2=2\frac{8-4}{4-2} = 2.
  2. Equation: y−4=2(x−2)→y=2x−4+4→y=2xy - 4 = 2(x - 2) \rightarrow y = 2x - 4 + 4 \rightarrow y = 2x.
  3. Intercept: Passes through origin (0,0)(0, 0). x-intercept is 0.

💡 Strategic Tip:y=2xy=2x has b=0b=0, so x-intercept is also 0.

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

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Linear Functions Set 99