Concept:Lines that are parallel have the same slope. Convert each line to slope-intercept form y=mx+c and compare slopes.Explanation:Given line: 6x−2y=10 can be written as y=3x−5. So its slope is 3.Option A: 3x−y=4 becomes y=3x−4. Slope is 3.Option B: y=3x−1 has slope 3.Option C: y=4x+5 has slope 4.Option D: 12x−4y=9 becomes y=3x−49​. Slope is 3.Only option C has a different slope, so it is not parallel.Answer:C. y=4x+5