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Set 7: Linear Functions (Intermediate)

Explanation

Answer: A

Convert the equation y3=2(x+1)y - 3 = 2(x + 1) to slope-intercept form.

A.

y=2x+5y = 2x + 5

✓ Correct
B.

y=2x1y = 2x - 1

C.

y=2x+2y = 2x + 2

D.

y=2x3y = 2x - 3

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Distribute and isolate yy. 1. Distribute: y3=2x+2y - 3 = 2 x + 2. 2. Add 3: y=2x+2+3y = 2 x + 2 + 3. 3. Result: y=2x+5y = 2 x + 5. Strategic Tip: Point-slope form is great for writing equations; slope-intercept is great for graphing. Choice B is incorrect because it subtracts 3 instead of adding. Choice C is incorrect because it forgets to add 3. Choice D is incorrect because it ignores the distribution.

Key Steps:

The correct answer is y=2x+5y = 2x + 5

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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