5
algebra

Determine the x-intercept of the line 2x5y=102x - 5y = 10.

A

55

B

2-2

C

22

D

5-5

Correct Answer: A

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

  1. Method: The x-intercept occurs where y=0y = 0.
  2. Substitute: 2x5(0)=102x=102x - 5(0) = 10 \rightarrow 2x = 10.
  3. Solve: x=5x = 5.

💡 Strategic Tip: Cover up the y-term (2x=102x = 10) to find the x-intercept instantly.

Choice B is incorrect because it is the y-intercept. Choice C is incorrect because it divides 10 by 5 incorrectly or confuses variables. Choice D is incorrect because it confuses signs.