5

Set 15: Linear Functions (Advanced)

Explanation

Answer: A

Determine the slope of the line 2y=8x62y = 8x - 6.

A.

44

✓ Correct
B.

88

C.

22

D.

3-3

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Isolate yy to find the slope. 1. Equation: 2y=8x62y = 8 x - 6 2. Divide by 2: Divide every term by 2 to get yy by itself. 2y2=8x262\frac{2 y}{2} = \frac{8 x}{2} - \frac{6}{2} 3. Simplify: y=4x3y = 4 x - 3 4. Identify Slope: The coefficient of xx is 4. Strategic Tip: You cannot read the slope directly until the equation is in y=...y = ... form. Choice B is incorrect because it takes the coefficient of xx before isolating yy. Choice C is incorrect because it is the coefficient of yy. Choice D is incorrect because it is the y-intercept.

Key Steps:

The correct answer is 44

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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