Final answer:
The equation of line L, which is parallel to y = 6x - 2 and passes through the point (3,5), is y = 6x - 13.
Step-by-step explanation:
Since line L is parallel to the given line y = 6x - 2, they must have the same slope. The given line has a slope of 6, which we can see from the coefficient of x in its equation. To find the equation of line L that passes through the point (3,5), we use the point-slope formula:
y - y1 = m(x - x1), where (x1,y1) is the point the line passes through and m is the slope.
Plugging in our values, we get:
y - 5 = 6(x - 3)
Simplifying:
y - 5 = 6x - 18
y = 6x - 13
Therefore, the equation of line L is y = 6x - 13.