Final answer:
The equation of line h, parallel to line g with a slope of -1/3 and including the point (-10, 6), is y = -1/3x + 8/3.
Step-by-step explanation:
Line g has an equation of y = -1/3x - 8.
Since line h is parallel to line g, it will have the same slope. The slope of line g is -1/3.
We also know that line h includes the point (-10, 6).
To find the equation of line h, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values we have:
y - 6 = -1/3(x - (-10))
y - 6 = -1/3(x + 10)
y - 6 = -1/3x - 10/3
y = -1/3x - 10/3 + 6
y = -1/3x + 8/3
Therefore, the equation of line h is y = -1/3x + 8/3.