5

Set 4: Linear Functions (Intermediate)

Explanation

Answer: A

Find the slope of the line given by 4x−2y=104x - 2y = 10.

A.

22

✓ Correct
B.

−2-2

C.

44

D.

12\frac{1}{2}

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Convert to slope-intercept form. 1. Subtract 4 x: −2y=−4x+10-2 y = -4 x + 10 2. Divide by -2: y=2x−5y = 2 x - 5 3. Slope: The coefficient of xx is 2. Strategic Tip: Shortcut: Slope m=−A/B=−4/(−2)=2m = -A/B = -4/(-2) = 2. Choice B is incorrect because it misses the sign change. Choice C is incorrect because it ignores the coefficient of y. Choice D is incorrect because it flips the fraction.

Key Steps:

•

The correct answer is 22

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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