Final answer:
The equation of a line parallel to y = (2/5)x - 6,875,390 passing through (-10, 6) is y = (2/5)x + 10.
Step-by-step explanation:
To find the equation of a line parallel to y = (2/5)x - 6,875,390 that passes through (-10, 6), we use the fact that parallel lines have the same slope. The given equation has a slope of (2/5), which we'll use for our new line. We can then use the point-slope form of a line, y - y1 = m(x - x1), where (x1, y1) is our point (-10, 6) and m is the slope (2/5).
Substituting the known values, we get:
y - 6 = (2/5)(x + 10)
Distributing the slope through, we obtain:
y - 6 = (2/5)x + (2/5)*10
y - 6 = (2/5)x + 4
Adding 6 to both sides to solve for y, we get:
y = (2/5)x + 10