Set 11: Linear Functions (Intermediate)

Explanation

Answer: A

Find the equation of the line shown in the graph that passes through $(0, -1)$ and $(2, 0)$ .

$y = \frac{1}{2}x - 1$

✓ Correct

$y = 2x - 1$

$y = \frac{1}{2}x + 1$

$y = -2x - 1$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Calculate slope and identify intercept. 1. Y-intercept: The line crosses at $(0, -1)$ , so $b = -1$ . 2. Slope: Rise from -1 to 0 is $+1$ . Run from 0 to 2 is $+2$ . $m = \frac{1}{2}$ . 3. Equation: $y = \frac{1}{2}x - 1$ . Strategic Tip: Check the steepness. A slope of 2 is steep; 1/2 is shallow. Choice B is incorrect because the slope is too steep (2). Choice C is incorrect because the y-intercept is wrong. Choice D is incorrect because the slope is negative.

Key Steps:

•

The correct answer is $y = \frac{1}{2}x - 1$

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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Set 11: Linear Functions (Intermediate)

Detailed Explanation

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