What is the slope-intercept form of 6x - 2y - 4 = 0?
Correct answer: C. y = 3x-2
- A. y = 6x - 2
- B. y = 3x + 2
- C. y = 3x-2
- D. y = -6x - 4
- E. y = −6x - 4
Explanation
To convert the equation 6x - 2y - 4 = 0 into slope-intercept form (y = mx + b), isolate y by moving all terms not containing y to the other side of the equation:Start with the original equation: 6x - 2y - 4 = 0.Move terms without y to the right side: -2y = -6x + 4.Divide by -2 to solve for y: y = 3x - 2.The correct answer is y = 3x - 2, with a slope of 3 and a y-intercept of -2. Option A and B have calculation errors, Option D has incorrect signs, and Option E lacks an explanation.
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