Answer: k=9
Step-by-step explanation:
Parallel lines have the same slope. y=mx+b, where m is the slope. The reference line, y = 6x-5 has a slope of 6. The new line must therefore also have a slope of 6. The slope is the Rise/Run, the change in y for a change in x.
The two points on the new line are (10,2k) and (13,4k). Rise over run for this new line is (4k-2k)/(13-10) or 2k/3. This must be equal to 6,
2k/3 = 6
2k = 18
k = 9
