10
algebra

Which equation represents the line passing through (a,0)(a, 0) and (0,b)(0, b)?

A

xa+yb=1\frac{x}{a} + \frac{y}{b} = 1

B

xb+ya=1\frac{x}{b} + \frac{y}{a} = 1

C

ax+by=1ax + by = 1

D

bx+ay=1bx + ay = 1

Correct Answer: A

Choice A is the correct answer. Intercept Form.

  1. Form: x/xint+y/yint=1x/x_{int} + y/y_{int} = 1.
  2. Substitute: x/a+y/b=1x/a + y/b = 1.

💡 Strategic Tip: This is the standard Intercept Form of a line.

Choice B is incorrect because swaps. Choice C is incorrect because standard form ish. Choice D is incorrect.

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Linear Functions Set 100