7
algebra

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

A

44

B

88

C

22

D

3-3

Correct Answer: A

Choice A is the correct answer. Isolate yy to find the slope.

  1. Equation: 2y=8x62y = 8x - 6
  2. Divide by 2: Divide every term by 2 to get yy by itself. 2y2=8x262\frac{2y}{2} = \frac{8x}{2} - \frac{6}{2}
  3. Simplify: y=4x3y = 4x - 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.