Set 9: Linear Functions

Explanation

Answer: A

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

$\frac{x}{a} + \frac{y}{b} = 1$

✓ Correct

$\frac{x}{b} + \frac{y}{a} = 1$

$ax + by = 1$

$bx + ay = 1$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Intercept Form. 1. Form: $x/x_{int} + y/y_{int} = 1$ . 2. Substitute: $x/a + y/b = 1$ . 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.

Key Steps:

•

The correct answer is $\frac{x}{a} + \frac{y}{b} = 1$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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