For different values of m, the equation 4y=mx-m+2 represents
- A. parallel lines
- B. concurrent lines ✓
- C. lines at a fixed distance from the origin of coordinates
- D. the same line
Correct Answer: B. concurrent lines
Explanation
Rewrite the equation as 4y - 2 = m(x - 1), or y - \frac{1}{2} = \frac{m}{4}(x - 1). This is the point-slope form of a linear equation, representing a family of lines passing through the fixed point (1, \frac{1}{2}). Such a family is a set of concurrent lines.
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