Answer: The given equation of the line is y + 2 = -1/2 x, or equivalently, y = -1/2 x - 2. This equation is in slope-intercept form, y = mx + b, where the slope m is -1/2.
A line parallel to this line will have the same slope, so its equation will also be in the form y = -1/2 x + b, where b is the y-intercept that we need to find.
To find b, we can use the fact that the line passes through the point (2, -7). Substituting x = 2 and y = -7 into the equation, we get:
-7 = -1/2 (2) + b
Simplifying and solving for b, we get:
b = -7 + 1 = -6
Therefore, the equation of the line parallel to y + 2 = -1/2 x that passes through the point (2, -7) is:
y = -1/2 x - 6
Explanation: