7
algebra

Find the y-intercept of the line 4x+5y=204x + 5y = 20.

A

44

B

55

C

4-4

D

2020

Correct Answer: A

Choice A is the correct answer. Set x=0x=0.

  1. Substitute: 4(0)+5y=205y=204(0) + 5y = 20 \rightarrow 5y = 20.
  2. Solve: y=4y = 4.

💡 Strategic Tip: In Standard Form Ax+By=CAx+By=C, the y-intercept is C/BC/B.

Choice B is incorrect because it is the x-intercept (20/420/4). Choice C is incorrect because sign error. Choice D is incorrect because calculation error.