Final answer:
The equation of line d, which is parallel to line c and includes the point (5, -7), is y + 7 = -7/6(x - 5).
Step-by-step explanation:
To find the equation of line d, which is parallel to line c and includes the point (5, -7), we can use the same slope as line c.
The slope of line c is -7/6, so the equation of line d can be written as:
y - y1 = m(x - x1)
where (x1, y1) is the given point (5, -7) and m is the slope -7/6. Plugging in the values, we have:
y - (-7) = -7/6(x - 5)
Expanding and simplifying the equation, we get:
y + 7 = -7/6(x - 5)